%% This BibTeX bibliography file was created using BibDesk. %% https://bibdesk.sourceforge.io/ %% Created for Adrian Sandu at 2023-05-02 22:40:05 -0400 %% Saved with string encoding Unicode (UTF-8) @article{Sandu_2022_LIMM, abstract = { Time integration methods for solving initial value problems are an important component of many scientific and engineering simulations. Implicit time integrators are desirable for their stability properties, which significantly relax restrictions on timestep size. However, implicit methods require solutions to one or more systems of nonlinear equations at each timestep, which for large simulations can be prohibitively expensive. This paper introduces a new family of linearly implicit multistep methods (Limm), which only requires the solution of one linear system per timestep. Order conditions and stability theory for these methods are presented, as well as design and implementation considerations. Practical methods of order up to five are developed that have similar error coefficients, but improved stability regions, when compared to the widely used BDF methods. Numerical testing of a self-starting variable stepsize and variable order implementation of the new Limm methods shows measurable performance improvement over a similar BDF implementation. }, author = {Glandon, Steven R. and Narayanamurthi, Mahesh and Sandu, Adrian}, date-added = {2023-05-02 22:36:43 -0400}, date-modified = {2023-05-02 22:36:43 -0400}, doi = {10.1137/20M133748X}, eprint = {https://arxiv.org/abs/2011.10685}, journal = {SIAM Journal on Scientific Computing}, number = {6}, pages = {A3437-A3462}, subjects = {time-integration}, techreport = {CSL-TR-19-13}, title = {Linearly implicit multistep methods for time integration}, url = {https://doi.org/10.1137/20M133748X}, volume = {44}, year = {2022}, bdsk-url-1 = {https://doi.org/10.1137/20M133748X}} @article{Sandu_2022_Sensitivities-friction, abstract = {{Friction exists in most mechanical systems and may have a major influence on the dynamic performance of the system. The incorporation of friction in dynamic systems has been a subject of active research for several years owing to its high nonlinearity and its dependence on several parameters. Consequently, optimization of dynamic systems with friction becomes a challenging task. Gradient-based optimization of dynamical systems is a prominent technique for optimal design and requires the computation of model sensitivities with respect to the design parameters. The novel contribution of this paper is the derivation of the analytical methodology for the computation of direct sensitivities for smooth multibody systems with joint friction using the Lagrangian index-1 formulation. System dynamics have been computed using two different friction models; the Brown and McPhee, and the Gonthier et al. model. The methodology proposed to obtain model sensitivities has also been validated using the complex finite difference method. A case study has been conducted on a spatial multibody system to observe the effect of friction on the dynamics and model sensitivities, compare sensitivities with respect to different parameters and demonstrate the numerical and validation aspects. Since design parameters can have very different magnitudes and units, the sensitivities have been scaled with the parameters for comparison. Finally, a discussion has been presented on the interpretation of the case study results. Due to the incorporation of joint friction, `jumps' or discontinuities are observed in the model sensitivities akin to those observed for hybrid dynamical systems.}}, author = {Verulkar, Adwait and Sandu, Corina and Dopico, Daniel and Sandu, Adrian}, date-added = {2023-05-02 22:29:40 -0400}, date-modified = {2023-05-02 22:29:40 -0400}, doi = {10.1115/1.4054110}, eprint = {https://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/17/7/071006/6869592/cnd\_017\_07\_071006.pdf}, issn = {1555-1415}, journal = {Journal of Computational and Nonlinear Dynamics}, month = {04}, note = {071006}, number = {7}, subjects = {computational-engineering, sensitivity-analysis}, title = {{Computation of Direct Sensitivities of Spatial Multibody Systems With Joint Friction}}, url = {https://doi.org/10.1115/1.4054110}, volume = {17}, year = {2022}, bdsk-url-1 = {https://doi.org/10.1115/1.4054110}} @article{Sandu_2023_KPP-3.0, abstract = {Abstract Kinetic integration of large and stiff chemical mechanisms is a computational bottleneck in models of atmospheric chemistry. It requires implicit solution of the coupled system of kinetic differential equations with time-consuming construction and inversion of the Jacobian matrix. We present here a new version of the Kinetic Pre-Processor (KPP 3.0.0) for fast integration of chemical kinetics featuring a range of improvements over previous versions in performance, diagnostics, versatility, and community openness. KPP 3.0.0 includes a new adaptive auto-reduction solver to decrease the size of any mechanism locally and on the fly under conditions where full complexity is not needed, by partitioning species as ``fast'' or ``slow'' based on their local production and loss rates. Previous implementations of this adaptive solver suffered from excessive overhead in the repeated construction of the local Jacobian matrix or were hard-wired to specific mechanisms. Here we retain the general applicability of the method to any mechanism and avoid overhead by using pre-computed Jacobian matrix terms for the full mechanism and cropping the matrix locally to remove the slow species with no change in memory allocation. We apply this adaptive solver within KPP 3.0.0 to the GEOS-Chem global 3-D model of atmospheric chemistry and demonstrate a 32\% reduction in solver time while maintaining a mean error lower than 1\% for key species in the troposphere.}, author = {Lin, Haipeng and Long, Michael S. and Sander, Rolf and Sandu, Adrian and Yantosca, Robert M. and Estrada, Lucas A. and Shen, Lu and Jacob, Daniel J.}, date-added = {2023-05-02 22:21:46 -0400}, date-modified = {2023-05-02 22:21:46 -0400}, doi = {https://doi.org/10.1029/2022MS003293}, eprint = {https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2022MS003293}, journal = {Journal of Advances in Modeling Earth Systems}, keywords = {chemical kinetics, atmospheric chemical mechanism, chemical solvers, adaptive mechanism reduction, chemical transport modeling}, note = {e2022MS003293 2022MS003293}, number = {2}, pages = {e2022MS003293}, subjects = {computational-engineering}, title = {An Adaptive Auto-Reduction Solver for Speeding Up Integration of Chemical Kinetics in Atmospheric Chemistry Models: Implementation and Evaluation in the Kinetic Pre-Processor (KPP) Version 3.0.0}, url = {https://agupubs.onlinelibrary.wiley.com/doi/abs/10.1029/2022MS003293}, volume = {15}, year = {2023}, bdsk-url-1 = {https://agupubs.onlinelibrary.wiley.com/doi/abs/10.1029/2022MS003293}, bdsk-url-2 = {https://doi.org/10.1029/2022MS003293}} @article{Sandu_2023_ETKF_shrinkage, abstract = {The Ensemble Kalman Filters (EnKF) employ a Monte-Carlo approach to represent covariance information, and are affected by sampling errors in operational settings where the number of model realizations is much smaller than the model state dimension. To alleviate the effects of these errors EnKF relies on model-specific heuristics such as covariance localization, which takes advantage of the spatial locality of correlations among the model variables. This work proposes an approach to alleviate sampling errors that utilizes a locally averaged-in-time dynamics of the model, described in terms of a climatological covariance of the dynamical system. We use this covariance as the target matrix in covariance shrinkage methods, and develop a stochastic covariance shrinkage approach where synthetic ensemble members are drawn to enrich both the ensemble subspace and the ensemble transformation. We additionally provide for a way in which this methodology can be localized similar to the state-of-the-art LETKF method, and that for a certain model setup, our methodology significantly outperforms it.}, author = {Popov, Andrey A. and Sandu, Adrian and Nino-Ruiz, Elias D. and Evensen, Geir}, date-added = {2023-05-02 22:17:23 -0400}, date-modified = {2023-05-02 22:17:23 -0400}, doi = {10.16993/tellusa.214}, journal = {Tellus A: Dynamic Meteorology and Oceanography}, keyword = {en_US}, month = {Apr}, subjects = {inverse-problems,statistical-computing}, techreport = {CSL-TR-20-3, \url{https://arxiv.org/abs/2003.00354}}, title = {A Stochastic Covariance Shrinkage Approach in Ensemble Transform Kalman Filtering}, year = {2023}, bdsk-url-1 = {https://doi.org/10.16993/tellusa.214}} @article{Sandu_2023_ALI3P-dadj, author = {A.L. Varela and D. Dopico-Dopico and C. Sandu and A. Sandu}, date-added = {2023-05-02 22:09:44 -0400}, date-modified = {2023-05-02 22:26:02 -0400}, journal = {Multibody System Dynamics}, subjects = {computational-engineering, sensitivity-analysis}, title = {Discrete adjoint variable method for the sensitivity analysis of {ALI3-P} formulations}, volume = {in print}, year = {2023}} @misc{Sandu_2023_DeepONet, author = {S. Donalds and A. Popov and A. Sandu}, date-added = {2023-04-13 15:27:49 -0400}, date-modified = {2023-04-13 15:29:14 -0400}, howpublished = {In preparation}, institution = {Computational Science Laboratory, Virginia Tech}, month = {March}, subjects = {machine-learning, surrogate-models}, title = {Efficient solutions of inverse problems using {DeepONets}}, year = {2023}} @conference{Sandu_2022_PINN_open_loop_control, address = {Arlington, VA}, author = {J. Barry-Straume and A. Popov and A. Sarshar and A. Sandu}, booktitle = {AAAI 2022 Fall Symposium Series}, date-added = {2023-04-10 23:20:50 -0400}, date-modified = {2023-05-02 22:31:28 -0400}, editor = {A. Karpatne}, institution = {Computational Science Laboratory, Virginia Tech}, month = {Nov. 17--19}, subjects = {machine-learning, surrogate-models}, techreport = {CSL-TR-21-6}, title = {Physics-informed neural networks for {PDE}-constrained optimization and control}, volume = {FS-22-04 Knowledge-Guided Machine Learning}, year = {2022}} @article{Sandu_2022_NN-MFEnKF, arxiv = {https://arxiv.org/abs/2102.13025}, author = {Popov, Andrey A. and Sandu, Adrian}, date-added = {2022-05-04 18:29:10 -0400}, date-modified = {2022-11-26 10:00:13 -0500}, doi = {10.3389/fams.2022.904687}, journal = {Frontiers in Applied Mathematics and Statistics}, month = {June}, subjects = {machine-learning,inverse-problems}, techreport = {CSL-TR-21-1, https://arxiv.org/abs/2102.13025}, title = {Multifidelity ensemble {Kalman} filtering using surrogate models defined by theory-guided autoencoders}, url = {https://doi.org/10.3389/fams.2022.904687}, year = {2022}, bdsk-url-1 = {https://doi.org/10.48550/arXiv.2102.13025}} @article{Sandu_2022_ETPF_shrinkage, author = {A.A. Popov and A. N. Subrahmanya and A. Sandu}, date-added = {2022-04-26 21:33:54 -0400}, date-modified = {2023-05-02 22:23:36 -0400}, doi = {10.5194/npg-29-241-2022}, institution = {Computational Science Laboratory}, journal = {Nonlinear Processes in Geophysics}, number = {2}, pages = {241--253}, subjects = {inverse-problems, statistical-computing}, techreport = {CSL-TR-21-4, \url{https://arxiv.org/abs/2109.09673}}, title = {A Stochastic Covariance Shrinkage Approach to Particle Rejuvenation in the Ensemble Transform Particle Filter}, url = {https://doi.org/10.5194/npg-29-241-2022}, volume = {29}, year = {2022}, bdsk-url-1 = {https://arxiv.org/abs/2003.00354}} @proceedings{Sandu_2021_IDETC-frictionSensitivity, abstract = {{Sensitivity analysis is one of the most prominent gradient based optimization techniques for mechanical systems. Model sensitivities are the derivatives of the generalized coordinates defining the motion of the system in time with respect to the system design parameters. These sensitivities can be calculated using finite differences, but the accuracy and computational inefficiency of this method limits its use. Hence, the methodologies of direct and adjoint sensitivity analysis have gained prominence. Recent research has presented computationally efficient methodologies for both direct and adjoint sensitivity analysis of complex multibody dynamic systems. The contribution of this article is in the development of the mathematical framework for conducting the direct sensitivity analysis of multibody dynamic systems with joint friction using the index-1 formulation. For modeling friction in multibody systems, the Brown and McPhee friction model has been used. This model incorporates the effects of both static and dynamic friction on the model dynamics. A case study has been conducted on a spatial slider-crank mechanism to illustrate the application of this methodology to real-world systems. Using computer models, with and without joint friction, effect of friction on the dynamics and model sensitivities has been demonstrated. The sensitivities of slider velocity have been computed with respect to the design parameters of crank length, rod length, and the parameters defining the friction model. Due to the highly non-linear nature of friction, the model dynamics are more sensitive during the transition phases, where the friction coefficient changes from static to dynamic and vice versa.}}, author = {Verulkar, Adwait and Sandu, Corina and Dopico, Daniel and Sandu, Adrian}, date-added = {2022-02-26 22:03:54 -0500}, date-modified = {2023-05-02 22:27:34 -0400}, doi = {10.1115/DETC2021-68777}, eprint = {https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings-pdf/IDETC-CIE2021/85468/V009T09A044/6800654/v009t09a044-detc2021-68777.pdf}, month = {08}, note = {V009T09A044}, series = {International Design Engineering Technical Conferences and Computers and Information in Engineering Conference}, subjects = {computational-engineering}, title = {Direct sensitivity analysis of spatial multibody systems with joint friction using Index-1 formulation}, url = {https://doi.org/10.1115/DETC2021-68777}, volume = {Volume 9: 17th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC)}, year = {2021}, bdsk-url-1 = {https://doi.org/10.1115/DETC2021-68777}} @article{Sandu_2021_Parallel-IMEX-GLM, abstract = {High-order discretizations of partial differential equations (PDEs) necessitate high-order time integration schemes capable of handling both stiff and nonstiff operators in an efficient manner. Implicit-explicit (IMEX) integration based on general linear methods (GLMs) offers an attractive solution due to their high stage and method order, as well as excellent stability properties. The IMEX characteristic allows stiff terms to be treated implicitly and nonstiff terms to be efficiently integrated explicitly. This work develops two systematic approaches for the development of IMEX GLMs of arbitrary order with stages that can be solved in parallel. The first approach is based on diagonally implicit multi-stage integration methods (DIMSIMs) of types 3 and 4. The second is a parallel generalization of IMEX Euler and has the interesting feature that the linear stability is independent of the order of accuracy. Numerical experiments confirm the theoretical rates of convergence and reveal that the new schemes are more efficient than serial IMEX GLMs and IMEX Runge--Kutta methods.}, author = {Roberts, Steven and Sarshar, Arash and Sandu, Adrian}, date = {2021/12/01}, date-added = {2022-02-26 22:00:18 -0500}, date-modified = {2023-05-02 22:39:57 -0400}, doi = {10.1007/s42967-020-00083-5}, id = {Roberts2021}, isbn = {2661-8893}, journal = {Communications on Applied Mathematics and Computation}, number = {4}, pages = {649--669}, subjects = {time-integration}, title = {Parallel implicit-explicit general linear methods}, url = {https://doi.org/10.1007/s42967-020-00083-5}, volume = {3}, year = {2021}, bdsk-url-1 = {https://doi.org/10.1007/s42967-020-00083-5}} @article{Sandu_2022_ALI3P-adjoint, author = {Daniel Dopico and Adrian Sandu and Corina Sandu}, date-added = {2022-02-26 21:57:12 -0500}, date-modified = {2022-02-26 21:57:12 -0500}, doi = {10.1080/15397734.2021.1890614}, eprint = {https://doi.org/10.1080/15397734.2021.1890614}, journal = {Mechanics Based Design of Structures and Machines}, number = {1}, pages = {48-78}, publisher = {Taylor & Francis}, subjects = {sensitivity-analysis. computational-engineering}, title = {Adjoint sensitivity index-3 augmented Lagrangian formulation with projections}, url = {https://doi.org/10.1080/15397734.2021.1890614}, volume = {50}, year = {2022}, bdsk-url-1 = {https://doi.org/10.1080/15397734.2021.1890614}} @article{Sandu_2022_MR-GARK-ROS, abstract = {Many complex applications require the solution of initial-value problems where some components change fast, while others vary slowly. Multirate schemes apply different step sizes to resolve different components of the system, according to their dynamics, in order to achieve increased computational efficiency. The stiff components of the system, fast or slow, are best discretized with implicit base methods in order to ensure numerical stability. To this end, linearly implicit methods are particularly attractive as they solve only linear systems of equations at each step. This paper develops the Multirate GARK-ROS/ROW (MR-GARK-ROS/ROW) framework for linearly-implicit multirate time integration. The order conditions theory considers both exact and approximative Jacobians. The effectiveness of implicit multirate methods depends on the coupling between the slow and fast computations; an array of efficient coupling strategies and the resulting numerical schemes are analyzed. Multirate infinitesimal step linearly-implicit methods, that allow arbitrarily small micro-steps and offer extreme computational flexibility, are constructed. The new unifying framework includes existing multirate Rosenbrock(-W) methods as particular cases, and opens the possibility to develop new classes of highly effective linearly implicit multirate integrators.}, author = {G{\"u}nther, Michael and Sandu, Adrian}, date = {2021/12/28}, date-added = {2022-02-26 21:55:09 -0500}, date-modified = {2023-05-02 22:38:47 -0400}, doi = {10.1007/s10543-021-00898-5}, isbn = {1572-9125}, journal = {BIT Numerical Mathematics}, pages = {869--901}, subjects = {time-integration, multimethods}, techreport = {CSL-TR-21-2}, title = {Multirate linearly-implicit {GARK} schemes}, url = {https://doi.org/10.1007/s10543-021-00898-5}, volume = {62}, year = {2022}, bdsk-url-1 = {https://doi.org/10.1007/s10543-021-00898-5}} @url{DATools, author = {A. Popov and A. Subrahmanya and A. Sandu}, date-added = {2021-12-19 13:49:57 -0500}, date-modified = {2021-12-19 13:50:20 -0500}, subjects = {inverse-problems,software}, title = {A Matlab set of tools for data assimilation}, url = {https://github.com/ComputationalScienceLaboratory/DATools}, urldate = {2021}, bdsk-url-1 = {https://github.com/ComputationalScienceLaboratory/DATools}} @techreport{Sandu_2023_FokkerPlanck, author = {Amit N Subrahmanya and Andrey A Popov and Adrian Sandu}, date-added = {2021-12-14 19:53:24 -0500}, date-modified = {2023-05-02 22:24:57 -0400}, institution = {Computational Science Laboratory, Virginia Tech}, subjects = {inverse-problems, statistical-computing}, techreport = {CSL-TR-21-10}, title = {Ensemble variational {Fokker-Planck} methods for data assimilation}, url = {https://arxiv.org/abs/2111.13926}, year = {2022}, bdsk-url-1 = {https://arxiv.org/abs/2111.13926}} @article{Sandu_2022_GARK_splittingSchemes, abstract = {Splitting-based time integration approaches such as fractional step, alternating direction implicit, operator splitting, and locally one dimensional methods partition the system of interest into components, and solve individual components implicitly in a cost-effective way. This work proposes a unified formulation of splitting time integration schemes in the framework of general-structure additive Runge--Kutta (GARK) methods. Specifically, we develop implicit-implicit (IMIM) GARK schemes, provide the order conditions for this class, and explain their application to partitioned systems of ordinary differential equations. We show that classical splitting methods belong to the IMIM GARK family, and therefore can be studied in this unified framework. New IMIM-GARK splitting methods are developed and tested using parabolic systems.}, author = {Severiano Gonz{\'a}lez-Pinto and Domingo Hern{\'a}ndez-Abreu and Maria S. P{\'e}rez-Rodr{\'\i}guez and Arash Sarshar and Steven Roberts and Adrian Sandu}, date-added = {2021-11-29 11:39:15 -0500}, date-modified = {2021-11-29 11:39:15 -0500}, doi = {10.1016/j.jcp.2021.110766}, issn = {0021-9991}, journal = {Journal of Computational Physics}, keywords = {General-structure additive Runge--Kutta methods, Alternating direction implicit, Implicit-explicit, Implicit-implicit methods}, pages = {110766}, subjects = {time-integration, multimethods}, techreport = {CSL-TR-21-3, http://arxiv.org/abs/2103.00757}, title = {A unified formulation of splitting-based implicit time integration schemes}, url = {https://www.sciencedirect.com/science/article/pii/S0021999121006616}, volume = {448}, year = {2022}, bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0021999121006616}, bdsk-url-2 = {https://doi.org/10.1016/j.jcp.2021.110766}} @techreport{Sandu_2021_AutoEncoder_4DVar, author = {A. Chennault and A.A. Popov and A.N. Subrahmanya and R.G. Cooper and A. Karpatne and A. Sandu}, date-added = {2021-06-10 08:43:24 -0400}, date-modified = {2022-05-04 18:24:35 -0400}, doi = {10.48550/arXiv.2111.08626}, institution = {Computational Science Laboratory, Virginia Tech}, number = {CSL-TR-21-7}, subjects = {machine-learning, surrogate-models}, title = {Adjoint-matching neural network surrogates for fast {4D-Var} data assimilation}, year = {2021}, bdsk-url-1 = {https://doi.org/10.48550/arXiv.2111.08626}} @conference{Sandu_2022_Polychaos_NN, address = {Arlington, VA}, author = {R.G. Cooper and A. Sandu}, booktitle = {AAAI 2022 Fall Symposium Series}, date-added = {2021-06-10 08:43:21 -0400}, date-modified = {2023-05-02 22:32:03 -0400}, editor = {A. Karpatne}, institution = {Computational Science Laboratory, Virginia Tech}, month = {Nov. 17--19}, subjects = {machine-learning, surrogate-models}, techreport = {CSL-TR-21-6}, title = {Basis-agnostic polynomial chaos expansions via a modified neural network architecture}, volume = {FS-22-04 Knowledge-Guided Machine Learning}, year = {2022}} @inproceedings{Sandu_2021_AutoEncoder_ROM, author = {R.G. Cooper and A.A. Popov and A. Sandu}, booktitle = {AAAI Fall Series Symposium 2021 on Science-guided AI}, date-added = {2021-06-10 08:40:51 -0400}, date-modified = {2022-05-04 18:22:47 -0400}, doi = {10.48550/arXiv.2108.12344}, institution = {Computational Science Laboratory, Virginia Tech}, publisher = {AAAI}, subjects = {machine-learning, surrogate-models}, techreport = {CSL-TR-21-5}, title = {Investigation of Nonlinear Model Order Reduction of the Quasigeostrophic Equations through a Physics-Informed Convolutional Autoencoder}, url = {https://doi.org/10.48550/arXiv.2108.12344}, year = {2021}, bdsk-url-1 = {https://doi.org/10.48550/arXiv.2108.12344}} @inproceedings{Sandu_2003_RosNystrom_DETC, author = {A. Sandu and D. Negrut and C. Sandu and E.J. Haug and F.A. Potra}, booktitle = {{Proceedings of ASME International (DETC-2003)}}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, location = {Chicago, Illinois}, month = {September 6-10}, number = {VIB-48329}, pages = {8}, subjects = {time-integration,computational-engineering}, title = {{Rosenbrock-Nystrom integrator for SSODE of mechanical systems}}, url = {http://dx.doi.org/10.1115/detc2003/vib-48329}, year = {2003}, bdsk-url-1 = {http://dx.doi.org/10.1115/detc2003/vib-48329}} @inproceedings{Sandu_2003_chemicalDA_ICCS, author = {G.R. Carmichael and D. Daescu and A. Sandu and T. Chai}, booktitle = {{International Conference for Computational Science (ICCS-2003)}}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, doi = {10.1007/3-540-44864-0_28}, location = {Melbourne, Australia}, month = {June}, number = {2660}, pages = {269--278}, series = {Springer Lecture Notes in Computer Science}, subjects = {inverse-problems,earth-sciences}, title = {{Computational aspects of chemical data assimilation into atmospheric models}}, url = {http://dx.doi.org/10.1007/3-540-44864-0_28}, year = {2003}, bdsk-url-1 = {http://dx.doi.org/10.1007/3-540-44864-0_28}} @inproceedings{Sandu_2003_bsplineAerosols_SAC, author = {A. Sandu and C. T. Borden}, booktitle = {ACM Symposium on Applied Computing (SAC-2003)}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, doi = {10.1145/952562.952572}, location = {Melbourne, Florida}, month = {March 13-18}, pages = {189--193}, subjects = {earth-sciences}, title = {Discretization of aerosol dynamics with {B-splines}}, url = {http://dx.doi.org/10.1145/952562.952572}, year = {2003}, bdsk-url-1 = {http://dx.doi.org/10.1145/952562.952572}} @inproceedings{Sandu_2003_editorial_SAC, author = {A. Sandu}, booktitle = {{ACM Symposium on Applied Computing (SAC-2003)}}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, doi = {10.1145/952562.952563}, location = {Melbourne, Florida}, month = {March 13-18}, pages = {141--142}, subjects = {other}, title = {{Computational Sciences track editorial}}, url = {http://dx.doi.org/10.1145/952562.952563}, year = {2003}, bdsk-url-1 = {http://dx.doi.org/10.1145/952562.952563}} @article{Sandu_2003_aerosolFramework, author = {A. Sandu and C. T. Borden}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, doi = {10.1016/S0168-9274(02)00251-9}, journal = {Applied Numerical Mathematics}, number = {4}, pages = {475--497}, subjects = {earth-sciences}, title = {A framework for the numerical treatment of aerosol dynamics}, url = {https://www.sciencedirect.com/science/article/abs/pii/S0168927402002519}, volume = {45}, year = {2003}, bdsk-url-1 = {http://dx.doi.org/10.1016/S0168-9274(02)00251-9}} @article{Sandu_2003_KPP-Sensitivity_p2, author = {D. Daescu and A. Sandu and G.R. Carmichael}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, journal = {Atmospheric Environment}, pages = {5097--5114}, subjects = {sensitivity-analysis,software}, title = {{Direct and adjoint sensitivity analysis of chemical kinetic systems with KPP: II -- Numerical validation and applications}}, url = {http://dx.doi.org/10.1016/j.atmosenv.2003.08.020}, volume = {37}, year = {2003}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.atmosenv.2003.08.020}} @article{Sandu_2003_KPP-Sensitivity_p1, author = {A. Sandu and D. Daescu and G.R. Carmichael}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, journal = {Atmospheric Environment}, pages = {5083--5096}, subjects = {sensitivity-analysis,software}, title = {{Direct and adjoint sensitivity analysis of chemical kinetic systems with KPP: I -- Theory and software tools}}, url = {http://dx.doi.org/10.1016/j.atmosenv.2003.08.019}, volume = {37}, year = {2003}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.atmosenv.2003.08.019}} @article{Sandu_2003_RosNystrom_p2, author = {D. Negrut and A. Sandu and E.J. Haug and F.A. Potra and C. Sandu}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, doi = {10.1243/146441903322683022}, journal = {Journal of Multibody Dynamics}, number = {K4}, pages = {273--281}, subjects = {time-integration,computational-engineering}, title = {{A Rosenbrock-Nystrom state space implicit method for the dynamic analysis of mechanical systems: II -- method and numerical examples}}, url = {http://dx.doi.org/10.1243/146441903322683022}, volume = {217}, year = {2003}, bdsk-url-1 = {http://dx.doi.org/10.1243/146441903322683022}} @article{Sandu_2003_RosNystrom_p1, author = {A. Sandu and D. Negrut and E.J. Haug and F.A. Potra and C. Sandu}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, doi = {10.1243/146441903322683013}, journal = {Journal of Multibody Dynamics}, number = {K4}, pages = {263--271}, subjects = {time-integration,computational-engineering}, title = {{A Rosenbrock-Nystrom state space implicit approach for the dynamic analysis of mechanical systems: I -- theoretical formulation}}, url = {http://dx.doi.org/10.1243/146441903322683013}, volume = {217}, year = {2003}, bdsk-url-1 = {http://dx.doi.org/10.1243/146441903322683013}} @article{Sandu_2002_NewtonCotes, author = {A. Sandu}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, doi = {10.1016/S1352-2310(01)00444-7}, journal = {Atmospheric Environment}, pages = {583--589}, subjects = {earth-sciences}, title = {A {Newton-Cotes} quadrature approach for solving the aerosol coagulation equation}, url = {http://dx.doi.org/10.1016/S1352-2310(01)00444-7}, volume = {36}, year = {2002}, bdsk-url-1 = {http://dx.doi.org/10.1016/S1352-2310(01)00444-7}} @article{Sandu_2002_PAQMSG, author = {P. Miehe and A. Sandu and G.R. Carmichael and Y. Tang and D. Daescu}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, doi = {10.1016/S1352-2310(02)00338-2}, journal = {Atmospheric Environment}, number = {24}, pages = {3917--3930}, subjects = {high-performance-computing,software}, title = {A communication library for the parallelization of air quality models on structured grids}, url = {http://dx.doi.org/10.1016/S1352-2310(02)00338-2}, volume = {36}, year = {2002}, bdsk-url-1 = {http://dx.doi.org/10.1016/S1352-2310(02)00338-2}} @inbook{Sandu_2002_aerosolsAdjoint_APMS, address = {Berlin, Heidelberg}, author = {A. Sandu and D. Daescu and G.R. Carmichael}, booktitle = {Air Pollution Modelling and Simulation: Proceedings Second Conference on Air Pollution Modelling and Simulation, APMS'01 Champs-sur-Marne, April 9--12, 2001}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, doi = {10.1007/978-3-662-04956-3_31}, editor = {Sportisse, Bruno}, location = {Paris, France}, pages = {319--331}, publisher = {Springer Berlin Heidelberg}, subjects = {inverse-problems,optimization,earth-sciences}, title = {Adjoint data assimilation for aerosol dynamics}, url = {http://dx.doi.org/10.1007/978-3-662-04956-3_31}, year = {2002}, bdsk-url-1 = {http://dx.doi.org/10.1007/978-3-662-04956-3_31}} @article{Sandu_2002_KPP, author = {V. Damian and A. Sandu and M. Damian and F. Potra and G.R. Carmichael}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, doi = {10.1016/S0098-1354(02)00128-X}, journal = {(Computers and Chemical Engineering)}, pages = {1567--1579}, subjects = {software,earth-sciences}, title = {{The Kinetic PreProcessor KPP -- a software environment for solving chemical kinetics}}, url = {http://dx.doi.org/10.1016/S0098-1354(02)00128-X}, volume = {26}, year = {2002}, bdsk-url-1 = {http://dx.doi.org/10.1016/S0098-1354(02)00128-X}} @techreport{Sandu_2001_spectralAerosols_TR, address = {1400 Townsend Drive, Houghton, MI 49931}, author = {A. Sandu}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, institution = {Department of Computer Science, Michigan Technological University}, number = {CSTR-01-04}, subjects = {earth-sciences}, title = {A spectral method for solving aerosol dynamics}, url = {http://www.mtu.edu/cs/research/papers/pdfs/aerosol-spectral-report.pdf}, year = {2001}, bdsk-url-1 = {http://www.mtu.edu/cs/research/papers/pdfs/aerosol-spectral-report.pdf}} @inproceedings{Sandu_2001_MD_SIAMPP, author = {J. F. Duff and P. Merkey and A. Sandu}, booktitle = {Proceedings of the 10th SIAM Conference on Parallel Processing for Scientific Computing}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:31:10 -0400}, location = {Portsmouth, Virginia}, note = {Link to abstract only.}, pages = {272--279}, subjects = {high-performance-computing,computational-biology}, title = {Parallel molecular dynamics using {MPI} on a {Scyld}-style {Beowulf} cluster}, url = {http://meetings.siam.org/sess/dsp_talk.cfm?p=680}, year = {2001}, bdsk-url-1 = {http://meetings.siam.org/sess/dsp_talk.cfm?p=680}} @article{Sandu_2001_positiveChemistry, author = {A. Sandu}, date-added = {2021-04-11 11:06:41 -0400}, date-modified = {2021-04-11 11:06:41 -0400}, doi = {10.1006/jcph.2001.6750}, journal = {Journal of Computational Physics}, pages = {1--14}, subjects = {time-integration}, title = {Positive numerical integration methods for chemical kinetic systems}, url = {http://dx.doi.org/10.1006/jcph.2001.6750}, volume = {170}, year = {2001}, bdsk-url-1 = {http://dx.doi.org/10.1006/jcph.2001.6750}} @article{Sandu_2022_MR-GARK_Surrogate, abstract = {This work considers multirate generalized-structure additively partitioned Runge--Kutta methods for solving stiff systems of ordinary differential equations with multiple time scales. These methods treat different partitions of the system with different timesteps for a more targeted and efficient solution compared to monolithic single rate approaches. With implicit methods used across all partitions, methods must find a balance between stability and the cost of solving nonlinear equations for the stages. In order to characterize this important trade-off, we explore multirate coupling strategies, problems for assessing linear stability, and techniques to efficiently implement Newton iterations for stage equations. Unlike much of the existing multirate stability analysis which is limited in scope to particular methods, we present general statements on stability and describe fundamental limitations for certain types of multirate schemes. New implicit multirate methods up to fourth order are derived, and their accuracy and efficiency properties are verified with numerical tests.}, author = {Steven Roberts and Andrey A Popov and Arash Sarshar and Adrian Sandu}, date-added = {2021-04-02 23:19:21 -0400}, date-modified = {2022-06-13 15:44:41 +0300}, doi = {10.1137/20M1386281}, institution = {Computational Science Laboratory}, journal = {SIAM Journal of Scientific Computing}, number = {3}, pages = {A1405-A1427}, subjects = {time-integration, surrogate-models, multimethods}, techreport = {CSL-TR-20-6, https://arxiv.org/abs/2011.03688}, title = {A fast time-stepping strategy for dynamical systems equipped with a surrogate model}, url = {https://doi.org/10.1137/20M1386281}, volume = {44}, year = {2022}, bdsk-url-1 = {https://doi.org/10.1007/s10915-020-01400-z}} @article{Sandu_2019_parallelCholeskyEnKF, abstract = {This paper discusses an efficient parallel implementation of the ensemble Kalman filter based on the modified Cholesky decomposition. The proposed implementation starts with decomposing the domain into sub-domains. In each sub-domain a sparse estimation of the inverse background error covariance matrix is computed via a modified Cholesky decomposition; the estimates are computed concurrently on separate processors. The sparsity of this estimator is dictated by the conditional independence of model components for some radius of influence. Then, the assimilation step is carried out in parallel without the need of inter-processor communication. Once the local analysis states are computed, the analysis sub-domains are mapped back onto the global domain to obtain the analysis ensemble. Computational experiments are performed using the Atmospheric General Circulation Model (SPEEDY) with the T-63 resolution on the Blueridge cluster at Virginia Tech. The number of processors used in the experiments ranges from 96 to 2048. The proposed implementation outperforms in terms of accuracy the well-known local ensemble transform Kalman filter (LETKF) for all the model variables. The computational time of the proposed implementation is similar to that of the parallel LETKF method (where no covariance estimation is performed). Finally, for the largest number of processors, the proposed parallel implementation is 400 times faster than the serial version of the proposed method.}, author = {Elias D. Nino-Ruiz and Adrian Sandu and Xinwei Deng}, date-added = {2021-04-03 00:39:27 -0400}, date-modified = {2021-04-11 15:54:08 -0400}, doi = {https://doi.org/10.1016/j.jocs.2017.04.005}, issn = {1877-7503}, journal = {Journal of Computational Science}, keywords = {Ensemble Kalman filter, Covariance matrix estimation, Local domain analysis}, pages = {100654}, subjects = {inverse-problems, high-performance-computing, statistical-computing}, title = {A parallel implementation of the ensemble {Kalman} filter based on modified Cholesky decomposition}, url = {https://www.sciencedirect.com/science/article/pii/S187775031730399X}, volume = {36}, year = {2019}, bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S187775031730399X}, bdsk-url-2 = {https://doi.org/10.1016/j.jocs.2017.04.005}} @article{Sandu_2021_GLM-ADI, abstract = {Alternating Directions Implicit (ADI) integration is an operator splitting approach to solve parabolic and elliptic partial differential equations in multiple dimensions based on solving sequentially a set of related one-dimensional equations. Classical ADI methods have order at most two, due to the splitting errors. Moreover, when the time discretization of stiff one-dimensional problems is based on Runge--Kutta schemes, additional order reduction may occur. This work proposes a new ADI approach based on the partitioned General Linear Methods framework. This approach allows the construction of high order ADI methods. Due to their high stage order, the proposed methods can alleviate the order reduction phenomenon seen with other schemes. Numerical experiments are shown to provide further insight into the accuracy, stability, and applicability of these new methods.}, author = {Arash Sarshar and Steven Roberts and Adrian Sandu}, date-added = {2021-04-03 00:00:25 -0400}, date-modified = {2021-04-11 10:41:19 -0400}, doi = {https://doi.org/10.1016/j.cam.2019.112619}, issn = {0377-0427}, journal = {Journal of Computational and Applied Mathematics}, keywords = {Initial value problems, Time integration, IMEX methods, Alternating directions}, note = {Numerical Solution of Differential and Differential-Algebraic Equations. Selected Papers from NUMDIFF-15}, pages = {112619}, subjects = {time-integration}, techreport = {CSL-TR-2019-1, https://arxiv.org/abs/1902.00622}, title = {Alternating directions implicit integration in a general linear method framework}, url = {https://www.sciencedirect.com/science/article/pii/S0377042719306247}, volume = {387}, year = {2021}, bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0377042719306247}, bdsk-url-2 = {https://doi.org/10.1016/j.cam.2019.112619}} @incollection{Sandu_2015_MBD-LQR-NATO, author = {C. Sandu and E. Blanchard and A. Sandu}, booktitle = {Advanced Autonomous Vehicle Design for Severe Environments, NATO Science for Peace and Security}, date-added = {2021-04-02 22:52:02 -0400}, date-modified = {2021-04-02 22:57:01 -0400}, doi = {10.3233/978-1-61499-576-0-200}, editor = {V.V. Vantsevich and M.V. Blundell}, number = {Volume 44: Advanced Autonomous Vehicle Design for Severe Environments}, publisher = {IOS Press, Amsterdam, Berlin, Tokyo, Washington DC}, series = {Series D: Information and Communication Security}, subjects = {uncertainty-quantification, optimization, computational-engineering}, title = {Application of the Generalized Polynomial Chaos to the {LQR} Control Problem with Uncertain Parameters in the Formulation}, url = {https://ebooks.iospress.nl/volumearticle/41197}, year = {2015}, bdsk-url-1 = {https://ebooks.iospress.nl/volumearticle/41196}, bdsk-url-2 = {https://doi.org/10.3233/978-1-61499-576-0-184}} @article{Sandu_2021_MR-Euler-DAE, abstract = {Systems of differential equations which consist of subsystems with widely different dynamical behaviour can be integrated by multirate time integration schemes to increase the efficiency. These schemes allow the usage of inherent step sizes according to the dynamical properties of the subsystem. In this paper, we extend the multirate implicit Euler method to semi-explicit differential--algebraic equations of index-1 where the algebraic constraints only occur in the slow changing subsystem. We discuss different coupling approaches and show that consistency and convergence order 1 can be reached. Numerical experiments validate the analytical results.}, author = {Christoph Hachtel and Andreas Bartel and Michael G{\"u}nther and Adrian Sandu}, date-added = {2021-04-03 00:05:09 -0400}, date-modified = {2021-04-03 00:05:47 -0400}, doi = {https://doi.org/10.1016/j.cam.2019.112499}, issn = {0377-0427}, journal = {Journal of Computational and Applied Mathematics}, keywords = {Numerical analysis, Differential--algebraic equations, Multirate time integration}, note = {Numerical Solution of Differential and Differential-Algebraic Equations. Selected Papers from NUMDIFF-15}, pages = {112499}, subjects = {time-integration, multimethods}, title = {Multirate implicit Euler schemes for a class of differential--algebraic equations of index-1}, url = {https://www.sciencedirect.com/science/article/pii/S0377042719305023}, volume = {387}, year = {2021}, bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0377042719305023}, bdsk-url-2 = {https://doi.org/10.1016/j.cam.2019.112499}} @article{Sandu_2019_incertaintyPower, author = {Y. {Xu} and L. {Mili} and A. {Sandu} and M. R. v. {Spakovsky} and J. {Zhao}}, date-modified = {2021-04-11 15:51:23 -0400}, doi = {10.1109/TPWRS.2018.2865548}, journal = {IEEE Transactions on Power Systems}, number = {1}, pages = {338-348}, subjects = {uncertainty-quantification, computational-engineering}, title = {Propagating uncertainty in power system dynamic simulations using polynomial chaos}, url = {https://ieeexplore.ieee.org/document/8437184}, volume = {34}, year = {2019}, bdsk-url-1 = {https://doi.org/10.1109/TPWRS.2018.2865548}} @article{Sandu_2021_Huber_norm_clarifications, author = {V. Rao and A. Sandu}, date-added = {2021-04-02 23:22:18 -0400}, date-modified = {2021-04-11 15:47:17 -0400}, institution = {Computational Science Laboratory}, journal = {Monthly Weather Review}, subjects = {inverse-problems}, title = {Clarifications on the use of {Huber} norm in robust data assimilation}, volume = {Submitted}, year = {2021}} @techreport{Sandu_2021_ETKF_shrinkage, author = {A.A. Popov and A. Sandu and E.D. Nino-Ruiz and G. Evensen}, date-added = {2021-04-02 23:14:01 -0400}, date-modified = {2021-04-11 15:48:01 -0400}, institution = {Computational Science Laboratory}, number = {CSL-TR-20-3}, subjects = {inverse-problems, statistical-computing}, title = {A stochastic covariance shrinkage approach in ensemble transform {Kalman} filtering}, url = {https://arxiv.org/abs/2003.00354}, year = {2021}, bdsk-url-1 = {https://arxiv.org/abs/2003.00354}} @techreport{Sandu_2021_GARK_symplectic, author = {M. G\"{u}nther and A. Sandu and A. Zanna}, date-added = {2021-04-02 23:00:58 -0400}, date-modified = {2021-04-02 23:03:00 -0400}, institution = {Computational Science Laboratory}, number = {CSL-TR-21-4}, subjects = {time-integration, multimethods}, title = {Symplectic {GARK} methods for partitioned {Hamiltonian} systems}, year = {2021}} @incollection{Sandu_2015_MBD-uncertainties-NATO, author = {C. Sandu and L. Li and A. Sandu}, booktitle = {Advanced Autonomous Vehicle Design for Severe Environments, NATO Science for Peace and Security}, date-added = {2021-04-02 22:46:12 -0400}, date-modified = {2021-04-02 22:49:15 -0400}, doi = {10.3233/978-1-61499-576-0-184}, editor = {V.V. Vantsevich and M.V. Blundell}, number = {Volume 44: Advanced Autonomous Vehicle Design for Severe Environments}, publisher = {IOS Press, Amsterdam, Berlin, Tokyo, Washington DC}, series = {Series D: Information and Communication Security}, subjects = {uncertainty-quantification, computational-engineering}, title = {Treatment of Uncertainties in Multibody Dynamic Systems Using a Generalized Polynomial Chaos Approach: Case Study on a Full Vehicle}, url = {https://ebooks.iospress.nl/volumearticle/41196}, year = {2015}, bdsk-url-1 = {https://ebooks.iospress.nl/volumearticle/41196}, bdsk-url-2 = {https://doi.org/10.3233/978-1-61499-576-0-184}} @incollection{Sandu_2014_MBD-sensitivity-book, author = {D. Dopico and A. Sandu and C. Sandu and Y. Zhu}, booktitle = {Multibody Dynamics: Computational Methods and Applications}, date-added = {2021-04-02 22:36:52 -0400}, date-modified = {2021-04-03 21:02:06 -0400}, doi = {10.1007%2F978-3-319-07260-9_1}, editor = {Z. Terze}, pages = {1--32}, publisher = {Springer Cham Heidelberg New York Dordrecht London}, series = {Computational Methods in Applied Sciences}, subjects = {sensitivity-analysis. computational-engineering}, title = {Sensitivity analysis of multibody dynamic systems modeled by {ODEs} and {DAEs}}, url = {http://link.springer.com/chapter/10.1007%2F978-3-319-07260-9_1}, volume = {35}, year = {2014}, bdsk-url-1 = {http://link.springer.com/chapter/10.1007%2F978-3-319-07260-9_1}, bdsk-url-2 = {https://doi.org/10.1007%252F978-3-319-07260-9_1}} @incollection{Sandu_2010_integration_book, author = {A. Sandu and T.F. Chai and G.R. Carmichael}, booktitle = {Modelling of Pollutants in Complex Environments}, date-added = {2021-04-02 22:15:38 -0400}, date-modified = {2021-04-02 22:17:46 -0400}, editor = {G. Hanrahan}, pages = {419--434}, publisher = {ILM Publications}, subjects = {inverse-problems, earth-sciences}, title = {Integration of Models and Observations: A Modern Paradigm for Air Quality}, url = {https://www.amazon.com/Modelling-Pollutants-Complex-Environmental-Advanced/dp/1906799016}, volume = {2}, year = {2010}, bdsk-url-1 = {https://www.amazon.com/Modelling-Pollutants-Complex-Environmental-Advanced/dp/1906799016}} @incollection{Sandu_2002_positivity-Favoring, author = {A. Sandu}, booktitle = {Atmospheric Modeling}, date-added = {2021-04-02 22:06:09 -0400}, date-modified = {2021-04-03 21:56:36 -0400}, doi = {ISBN-13: 978-0387954974}, editor = {D.P. Chock and G.R. Carmichael and P. Brick}, pages = {21--38}, publisher = {Springer-Verlag New York}, series = {The IMA Volumes in Mathematics and its Applications}, subjects = {earth-sciences, time-integration}, techreport = {ISBN-13: 978-0387954974, ISBN-10: 038795497X}, title = {Time-stepping methods that favor positivity for atmospheric chemistry modeling}, url = {http://www.springer.com/us/book/9780387954974?wt_mc=GoogleBooks.GoogleBooks.3.EN&token=gbgen}, volume = {130}, year = {2002}, bdsk-url-1 = {http://www.springer.com/us/book/9780387954974?wt_mc=GoogleBooks.GoogleBooks.3.EN&token=gbgen}} @incollection{Sandu_1996_sensitivity-AQM, author = {G.R. Carmichael and A. Sandu and F.A. Potra and V. Damian-Iordache}, booktitle = {Air Pollution IV - Monitoring, Simulation and Control}, date-added = {2021-04-02 21:52:06 -0400}, date-modified = {2021-04-02 21:56:33 -0400}, editor = {B. Caussade and H. Power and C.A. Brebbia}, number = {ISBN: 978-1-85312-422-8}, pages = {71-80}, publisher = {WIT Press}, series = {Computational Mechanics Publications, Southampton, Boston}, subjects = {sensitivity-analysis, earth-sciences}, title = {An overview of sensitivity analysis for atmospheric chemistry models via automatic differentiation}, url = {https://www.witpress.com/books/978-1-85312-422-8}, year = {1996}, bdsk-url-1 = {https://www.witpress.com/books/978-1-85312-422-8}} @article{Sandu_2021_ML-UQ-NWP, abstract = {Complex numerical weather prediction models incorporate a variety of physical processes, each described by multiple alternative physical schemes with specific parameters. The selection of the physical schemes and the choice of the corresponding physical parameters during model configuration can significantly impact the accuracy of model forecasts. There is no combination of physical schemes that works best for all times, at all locations, and under all conditions. It is therefore of considerable interest to understand the interplay between the choice of physics and the accuracy of the resulting forecasts under different conditions. This paper demonstrates the use of machine learning techniques to study the uncertainty in numerical weather prediction models due to the interaction of multiple physical processes. The first problem addressed herein is the estimation of systematic model errors in output quantities of interest at future times, and the use of this information to improve the model forecasts. The second problem considered is the identification of those specific physical processes that contribute most to the forecast uncertainty in the quantity of interest under specified meteorological conditions. In order to address these questions we employ two machine learning approaches, random forests and artificial neural networks. The discrepancies between model results and observations at past times are used to learn the relationships between the choice of physical processes and the resulting forecast errors. Numerical experiments are carried out with the Weather Research and Forecasting (WRF) model. The output quantity of interest is the model precipitation, a variable that is both extremely important and very challenging to forecast. The physical processes under consideration include various micro-physics schemes, cumulus parameterizations, short wave, and long wave radiation schemes. The experiments demonstrate the strong potential of machine learning approaches to aid the study of model errors.}, author = {Azam Moosavi and Vishwas Rao and Adrian Sandu}, date-added = {2021-03-31 17:39:14 -0400}, date-modified = {2021-04-03 22:05:21 -0400}, doi = {10.1016/j.jocs.2020.101295}, issn = {1877-7503}, journal = {Journal of Computational Science}, keywords = {Numerical weather prediction model, Precipitation prediction, Physical processes, Machine learning}, pages = {101295}, subjects = {machine-learning,uncertainty-quantification}, title = {Machine learning based algorithms for uncertainty quantification in numerical weather prediction models}, url = {https://www.sciencedirect.com/science/article/pii/S1877750320305895}, volume = {50}, year = {2021}, bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S1877750320305895}, bdsk-url-2 = {https://doi.org/10.1016/j.jocs.2020.101295}} @article{Sandu_2021_MF-EnKF, author = {Popov, Andrey A. and Mou, Changhong and Sandu, Adrian and Iliescu, Traian}, date-added = {2021-03-25 19:50:14 -0400}, date-modified = {2021-04-03 00:08:08 -0400}, doi = {10.1137/20M1349965}, eprint = {https://doi.org/10.1137/20M1349965}, journal = {SIAM Journal on Scientific Computing}, number = {2}, pages = {A1134-A1162}, subjects = {inverse-problems, surrogate-models, statistical-computing}, title = {A multifidelity ensemble {Kalman} filter with reduced order control variates}, url = {https://doi.org/10.1137/20M1349965}, volume = {43}, year = {2021}, bdsk-url-1 = {https://doi.org/10.1137/20M1349965}} @article{Sandu_2021_conservativeHydrodynamics, author = {A. Sandu and V. Tomov and L. Cervena and T. Kolev}, date-added = {2021-02-25 12:23:02 -0500}, date-modified = {2021-04-11 15:49:04 -0400}, doi = {10.1137/20M1314495}, eprint = {https://doi.org/10.1137/20M1314495}, journal = {SIAM Journal on Scientific Computing}, number = {1}, pages = {A221-A241}, subjects = {time-integration, computational-engineering}, title = {Conservative high-order time integration for {Lagrangian} hydrodynamics}, url = {https://doi.org/10.1137/20M1314495}, volume = {43}, year = {2021}, bdsk-url-1 = {https://doi.org/10.1137/20M1314495}} @article{Sandu_2021_MR-GARK_Implicit, abstract = {This work considers multirate generalized-structure additively partitioned Runge--Kutta methods for solving stiff systems of ordinary differential equations with multiple time scales. These methods treat different partitions of the system with different timesteps for a more targeted and efficient solution compared to monolithic single rate approaches. With implicit methods used across all partitions, methods must find a balance between stability and the cost of solving nonlinear equations for the stages. In order to characterize this important trade-off, we explore multirate coupling strategies, problems for assessing linear stability, and techniques to efficiently implement Newton iterations for stage equations. Unlike much of the existing multirate stability analysis which is limited in scope to particular methods, we present general statements on stability and describe fundamental limitations for certain types of multirate schemes. New implicit multirate methods up to fourth order are derived, and their accuracy and efficiency properties are verified with numerical tests.}, author = {S. Roberts and J. Loffeld and A. Sarshar and C.S. Woodward and A. Sandu}, da = {2021/02/17}, date-added = {2021-02-18 11:29:46 -0500}, date-modified = {2021-04-11 15:45:28 -0400}, doi = {10.1007/s10915-020-01400-z}, id = {Roberts2021}, isbn = {1573-7691}, journal = {Journal of Scientific Computing}, number = {1}, pages = {4}, subjects = {time-integration, multimethods}, title = {Implicit multirate {GARK} methods}, ty = {JOUR}, url = {https://doi.org/10.1007/s10915-020-01400-z}, volume = {87}, year = {2021}, bdsk-url-1 = {https://doi.org/10.1007/s10915-020-01400-z}} @incollection{Sandu_2021_DA-chapter, author = {A.A. Popov and A. Sandu}, booktitle = {Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications (Vol. IV)}, chapter = TBD, date-added = {2021-02-16 17:52:55 -0500}, date-modified = {2021-04-02 22:58:56 -0400}, editor = {Park, Seon Ki and Xu, Liang}, pages = {in press}, publisher = {Springer}, subjects = {inverse-problems, surrogate-models, statistical-computing}, title = {Multifidelity data assimilation for physical systems}, year = 2021} @misc{Sandu_2021_GARK-adjoint, author = {U. Romer and M. Narayanamurthi and A. Sandu}, date-added = {2021-02-16 11:02:02 -0500}, date-modified = {2021-04-03 22:05:58 -0400}, howpublished = {Submitted}, subjects = {sensitivity-analysis, error-analysis}, title = {Goal-oriented a posteriori estimation of numerical errors in the solution of multiphysics systems}, year = {2021}, bdsk-url-1 = {https://arxiv.org/pdf/1701.06528.pdf}} @article{Sandu_2021_AtmEnv-oil-contributions, abstract = {Recently, oil and natural gas (O&NG) production activities in the Denver-Julesburg Basin have expanded rapidly. Associated nonmethane hydrocarbon (NMHC) emissions contribute to photochemical formation of ground-level ozone and include benzene as well as other hazardous air pollutants. Using positive matrix factorization (PMF) and chemical mass balance (CMB) methods, we estimate how much O&NG activities and other sources contribute to morning NMHC mixing ratios measured from 2013 to mid-2016 at a site in Platteville, CO, in the Denver-Julesburg Basin, and at a contrasting site in downtown Denver. A novel adjoint sensitivity analysis method is then used to estimate corresponding contributions to ozone and ozone-linked mortality in the Denver region. Average 6--9 am NMHC mixing ratios in Platteville were seven times higher than those in Denver in 2013 but four times higher in 2016. CMB estimates that O&NG activities contributed to the Platteville (Denver) site an average of 96% (56%) of NMHC on a carbon basis while PMF indicated 92% (33%). Average vehicle-related contributions of NMHC are estimated as 41% by CMB and 53% by PMF in Denver. Estimates of the fractional contribution to potential ozone and ozone-linked mortality from O&NG activities are smaller while those from vehicles are larger than the NMHC contributions. CMB (PMF) indicate that greater than 78% (40%) of annual average benzene in Denver is attributable to vehicle emissions while greater than 75% (67%) of benzene in Platteville is attributable to O&NG activities.}, author = {Congmeng Lyu and Shannon L. Capps and Kent Kurashima and Daven K. Henze and Gordon Pierce and Amir Hakami and Shunliu Zhao and Jaroslav Resler and Gregory R. Carmichael and Adrian Sandu and Armistead G. Russell and Tianfeng Chai and Jana Milford}, date-added = {2020-12-27 22:31:52 -0500}, date-modified = {2021-04-03 22:06:43 -0400}, doi = {https://doi.org/10.1016/j.atmosenv.2020.118113}, issn = {1352-2310}, journal = {Atmospheric Environment}, keywords = {Oil and natural gas, Nonmethane hydrocarbon, Ground-level ozone, Premature mortality, Source apportionment, Adjoint sensitivity analysis}, pages = {118113}, subjects = {earth-sciences}, title = {Evaluating oil and gas contributions to ambient nonmethane hydrocarbon mixing ratios and ozone-related metrics in the Colorado Front Range}, url = {http://www.sciencedirect.com/science/article/pii/S1352231020308451}, volume = {246}, year = {2021}, bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S1352231020308451}, bdsk-url-2 = {https://doi.org/10.1016/j.atmosenv.2020.118113}} @book{Sandu_2020_WMO_book, author = {D. Aliaga and Y. Zhang and A. Sandu et al.}, date-added = {2020-11-29 20:29:22 -0500}, date-modified = {2021-04-11 15:49:50 -0400}, number = {ETR-26}, publisher = {World Meteorological Organization}, series = {Education and Training Program}, subjects = {earth-sciences}, title = {Training materials and best practices for chemical weather/air quality forecasting}, url = {https://library.wmo.int/doc_num.php?explnum_id=10439}, year = {2020}, bdsk-url-1 = {https://library.wmo.int/doc_num.php?explnum_id=10439}} @article{Sandu_2021_Partitioned-Exp_Classic, abstract = {Multiphysics problems involving two or more coupled physical phenomena are ubiquitous in science and engineering. This work develops a new partitioned exponential approach for the time integration of multiphysics problems. After a possible semi-discretization in space, the class of problems under consideration is modeled by a system of ordinary differential equations where the right-hand side is a summation of two component functions, each corresponding to a given set of physical processes. The partitioned-exponential methods proposed herein evolve each component of the system via an exponential integrator, and information between partitions is exchanged via coupling terms. The traditional approach to constructing exponential methods, based on the variation-of-constants formula, is not directly applicable to partitioned systems. Rather, our approach to developing new partitioned-exponential families is based on a general-structure additive formulation of the schemes. Two method formulations are considered, one based on a linear-nonlinear splitting of the right hand component functions, and another based on approximate Jacobians. The paper develops classical (non-stiff) order conditions theory for partitioned exponential schemes based on particular families of T-trees and B-series theory. Several practical methods of third order are constructed that extend the Rosenbrock-type and EPIRK families of exponential integrators. Several implementation optimizations specific to the application of these methods to reaction-diffusion systems are also discussed. Numerical experiments reveal that the new partitioned-exponential methods can perform better than traditional unpartitioned exponential methods on some problems.}, author = {M. Narayanamurthi and A. Sandu}, date-added = {2020-11-16 13:06:13 -0500}, date-modified = {2021-11-29 12:07:43 -0500}, doi = {10.1016/j.apnum.2020.10.020}, issn = {0168-9274}, journal = {Applied Numerical Mathematics}, keywords = {Multiphysics systems, Exponential time integration, Butcher series, Partitioned methods}, pages = {178 - 207}, subjects = {time-integration,multimethods}, techreport = {CSL-TR-19-6}, title = {Partitioned exponential methods for coupled multiphysics systems}, url = {http://www.sciencedirect.com/science/article/pii/S0168927420303275}, volume = {161}, year = {2021}, bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0168927420303275}, bdsk-url-2 = {https://doi.org/10.1016/j.apnum.2020.10.020}} @article{Sandu_2020_MRI-GARK_Coupled, author = {S. Roberts and A. Sarshar and A. Sandu}, date-added = {2020-10-31 22:16:31 -0400}, date-modified = {2021-04-03 22:07:36 -0400}, doi = {10.1137/19M1266952}, journal = {SIAM Journal on Scientific Computing}, keywords = {General-structure additive Runge-Kutta methods,Multirate time integration,Multiscale dynamics}, month = {May}, number = {3}, pages = {A1609--A1638}, subjects = {time-integration, multimethods}, title = {Coupled multirate infinitesimal {GARK} methods for stiff differential equations with multiple time scales}, url = {https://arxiv.org/abs/1808.02759}, volume = {42}, year = {2020}, bdsk-url-1 = {https://arxiv.org/abs/1808.02759}} @article{Sandu_2017_large-CFD, author = {Arash Sarshar and Paul Tranquilli and Brent Pickering and Andrew McCall and Christopher J. Roy and Adrian Sandu}, date-added = {2020-09-09 22:56:17 -0400}, date-modified = {2021-04-03 22:03:09 -0400}, doi = {10.1016/j.compfluid.2017.09.014}, issn = {0045-7930}, journal = {Computers \& Fluids}, pages = {53--63}, subjects = {time-integration, computational-engineering}, title = {A numerical investigation of matrix-free implicit time-stepping methods for large \{CFD\} simulations}, url = {http://www.sciencedirect.com/science/article/pii/S0045793017303493}, volume = {159}, year = {2017}, bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0045793017303493}, bdsk-url-2 = {https://doi.org/10.1016/j.compfluid.2017.09.014}} @article{Sandu_2019_MRI-GARK, author = {A. Sandu}, date-added = {2020-09-09 22:53:55 -0400}, date-modified = {2021-05-04 12:01:09 -0400}, doi = {10.1137/18M1205492}, journal = {SIAM Journal on Numerical Analysis}, number = {5}, pages = {2300-2327}, subjects = {time-integration, multimethods}, techreport = {CSL-TR-18-5}, title = {A class of multirate infinitesimal {GARK} methods}, url = {https://doi.org/10.1137/18M1205492}, volume = {57}, year = {2019}, bdsk-url-1 = {https://arxiv.org/abs/1808.02759}} @article{Sandu_2021_GARK-ROS, author = {A. Sandu and M. Guenther and S.B. Roberts}, date-added = {2020-09-07 21:56:42 -0400}, date-modified = {2021-04-11 10:39:44 -0400}, doi = {10.1016/j.apnum.2020.11.014}, journal = {Applied Numerical Mathematics}, pages = {286--310}, subjects = {time-integration, multimethods}, title = {Linearly implicit {GARK} schemes}, url = {https://doi.org/10.1016/j.apnum.2020.11.014}, volume = {161}, year = {2021}, bdsk-url-1 = {https://doi.org/10.1016/j.apnum.2020.11.014}} @article{Sandu_2020_Hybrid-MBD-ADJ, abstract = {Sensitivity analysis computes the derivatives of general cost functions that depend on the system solution with respect to parameters or initial conditions. This work develops adjoint sensitivity analysis for hybrid multibody dynamic systems. The adjoint sensitivity is commonly referred to as backward propagation. Hybrid systems are characterized by trajectories that are piecewise continuous in time, with finitely-many discontinuities being caused by events such as elastic/inelastic impacts or sudden changes in constraints. The corresponding direct and adjoint sensitivity variables are also discontinuous at the time of events. The framework discussed herein uses a jump sensitivity matrix to relate the jump conditions for the direct and adjoint sensitivities before and after the time event and provides analytical jump equations for the adjoint variables. The theoretical framework for sensitivities for hybrid systems is verified on a five-bar mechanism with non-smooth contacts.}, author = {S.M. Corner and C. Sandu and A. Sandu}, da = {2020/08/01}, date-added = {2020-09-07 21:42:26 -0400}, date-modified = {2021-04-03 00:13:47 -0400}, doi = {10.1007/s11044-020-09726-0}, isbn = {1573-272X}, journal = {Multibody System Dynamics}, number = {4}, pages = {395--420}, subjects = {sensitivity-analysis. computational-engineering}, title = {Adjoint sensitivity analysis of hybrid multibody dynamical systems}, url = {https://doi.org/10.1007/s11044-020-09726-0}, volume = {49}, year = {2020}, bdsk-url-1 = {https://doi.org/10.1007/s11044-020-09726-0}} @article{Sandu_2020_IMEX-GLM-Theory, author = {A. Sandu}, date-added = {2020-09-07 21:36:53 -0400}, date-modified = {2021-04-03 21:13:48 -0400}, doi = {10.1016/j.apnum.2020.04.005}, journal = {Applied Numerical Mathematics}, pages = {242-264}, subjects = {time-integration}, title = {Convergence results for implicit-explicit general linear methods}, url = {https://doi.org/10.1016/j.apnum.2020.04.005}, volume = {156}, year = {2020}, bdsk-url-1 = {https://doi.org/10.1016/j.apnum.2020.04.005}} @techreport{Sandu_2019_ODE-tests, author = {Roberts, Steven and Popov, Andrey A and Sandu, Adrian}, date-added = {2020-05-28 22:11:37 -0400}, date-modified = {2021-04-03 00:15:58 -0400}, doi = {arXiv:1901.04098}, institution = {Computational Science Laboratory, Virginia Tech}, number = {CSL-TR-19-1}, subjects = {software, time-integration}, title = {{ODE} Test Problems: a {M}atlab suite of initial value problems}, url = {https://github.com/ComputationalScienceLaboratory/ODE-Test-Problems}, year = {2019}, bdsk-url-1 = {https://github.com/ComputationalScienceLaboratory/ODE-Test-Problems}, bdsk-url-2 = {arXiv:1901.04098}} @article{Sandu_2021_ROK-adaptive, author = {P. Tranquilli and R. Glandon and A. Sandu}, date-added = {2020-05-28 15:29:12 -0400}, date-modified = {2021-04-03 00:07:16 -0400}, doi = {10.1016/j.cam.2020.113188}, journal = {Journal of Computational and Applied Mathematics}, pages = {113188}, subjects = {time-integration}, title = {Subspace adaptivity in {Rosenbrock-Krylov} methods for the time integration of initial value problems}, url = {https://doi.org/10.1016/j.cam.2020.113188}, volume = {385}, year = {2021}, bdsk-url-1 = {https://arxiv.org/pdf/1701.06528.pdf}} @article{Sandu_2019_emissions, author = {Congmeng Lyu and Shannon L Capps and Amir Hakami and Shunliu Zhao and Jaroslav Resler and Gregory R Carmichael and Adrian Sandu and Armistead G Russell and Tianfeng Chai and Daven K Henze}, date-added = {2020-02-08 19:31:02 -0500}, date-modified = {2021-04-03 21:12:52 -0400}, doi = {10.1088/1748-9326/ab5e05}, journal = {Environmental Research Letters}, month = {dec}, number = {12}, pages = {124093}, publisher = {{IOP} Publishing}, subjects = {earth-sciences}, title = {Elucidating emissions control strategies for ozone to protect human health and public welfare within the continental United States}, url = {https://doi.org/10.1088%2F1748-9326%2Fab5e05}, volume = {14}, year = 2019, bdsk-url-1 = {https://doi.org/10.1088%2F1748-9326%2Fab5e05}, bdsk-url-2 = {https://doi.org/10.1088/1748-9326/ab5e05}} @techreport{Sandu_2012_IMEX-TSRK_TR, author = {E. Zharovsky and A. Sandu}, date-added = {2019-11-23 18:11:46 -0500}, date-modified = {2021-04-11 10:42:07 -0400}, institution = {Computational Science Laboratory, Virginia Tech}, month = {February}, number = {CS TR-12-08}, subjects = {time-integration,multimethods}, title = {{IMEX} two-step {Runge-Kutta} methods}, url = {HTTP: // EPRINTS. CS. VT. EDU/ ARCHIVE/ 00001183}, year = {2012}, bdsk-url-1 = {http://eprints.cs.vt.edu/archive/00001183/}} @article{Sandu_2020_BOROK, author = {R. Glandon and P. Tranquilli and A. Sandu}, date-added = {2019-08-10 16:06:45 -0400}, date-modified = {2021-04-03 00:12:34 -0400}, doi = {10.1016/j.apnum.2019.09.003}, journal = {Applied Numerical Mathematics}, pages = {233--251}, subjects = {time-integration}, title = {Biorthogonal {Rosenbrock-Krylov} time discretization methods}, url = {https://doi.org/10.1016/j.apnum.2019.09.003}, volume = {150}, year = {2020}, bdsk-url-1 = {https://arxiv.org/pdf/1701.06528.pdf}} @techreport{Sandu_2018_ML-Krylov-tuning, author = {Z. Cooper and A.Z. Moosavi L. He and P. Windes and D. Tafti and A. Sandu}, date-added = {2018-07-28 18:29:01 +0000}, date-modified = {2021-04-03 22:03:25 -0400}, howpublished = {in preparation}, institution = {Virginia Polytechnic Institute and State University}, subjects = {computational-engineering}, title = {Supervised Machine Learning Assisted Precoditioning of {Kyrlov} Based Linear Solvers}, year = {2018}} @article{Sandu_2019_adaptive-localization, author = {A. Popov and A. Sandu}, date-added = {2018-04-30 06:20:27 +0000}, date-modified = {2021-04-03 00:22:38 -0400}, doi = {npg-26-109-2019}, journal = {Nonlinear Processes in Geophysics}, pages = {109--122}, subjects = {inverse-problems, machine-learning}, title = {A {Bayesian} approach to multivariate adaptive localization in ensemble-based data assimilation with time-dependent extensions}, url = {https://doi.org/10.5194/npg-26-109-2019}, volume = {26}, year = {2019}, bdsk-url-1 = {https://arxiv.org/abs/1808.02759}} @conference{Sandu_2015_Stable_IMEX-GLM, address = {Madrid, Spain}, author = {A. Cardone and Z. Jackiewicz and A. Sandu and H. Zhang}, booktitle = {AIMS proceedings}, date-added = {2018-02-26 04:07:59 +0000}, date-modified = {2021-04-11 00:18:03 -0400}, doi = {10.3934/proc.2015.0185}, editor = {M. de Leon and W. Feng and Z. Feng and J.L. Gomez and X. Lu and J.M. Martell and J. Parcet and D. Peralta-Salas and W. Ruan}, number = {0133-0189\_2015\_special\_185}, pages = {185--194}, series = {Dynamical Systems, Differential Equations, and Applications}, subjects = {time-integration}, title = {Construction of highly-stable implicit-explicit general linear methods}, year = {2015}, bdsk-url-1 = {https://dx.doi.org/10.3934/proc.2015.0185}} @article{Sandu_2019_DATES, author = {A. Attia and A. Sandu}, date-added = {2018-02-24 22:23:25 +0000}, date-modified = {2021-04-03 00:21:34 -0400}, doi = {10.5194/gmd-12-629-2019}, journal = {Geoscientific Model Development}, pages = {629--649}, subjects = {software, inverse-problems}, title = {{DATES:} {A} highly-extensible data assimilation testing suite}, url = {https://doi.org/10.5194/gmd-12-629-2019}, volume = {12}, year = {2019}, bdsk-url-1 = {https://arxiv.org/pdf/1801.00548.pdf}} @article{Sandu_2020_Partitioned-Exp_Stiff, address = {CSL-TR-19-9}, author = {M. Narayanamurthi and A. Sandu}, date-added = {2018-02-24 22:21:30 +0000}, date-modified = {2021-04-03 00:12:07 -0400}, doi = {10.1016/j.apnum.2020.01.010}, institution = {Computational Science Laboratory, Virginia Tech}, journal = {Applied Numerical Mathematics}, pages = {141-158}, subjects = {time-integration}, title = {Efficient implementation of partitioned stiff exponential {Runge-Kutta} methods}, url = {https://doi.org/10.1016/j.apnum.2020.01.010}, volume = {152}, year = {2020}, bdsk-url-1 = {https://arxiv.org/pdf/1701.06528.pdf}} @misc{Sandu_2018_adaptive-DEIM, author = {R. Stefanescu and A. Sandu}, date-added = {2018-02-24 22:14:03 +0000}, date-modified = {2021-04-03 22:10:10 -0400}, institution = {Submitted to SIAM Journal on Scientific Computing}, subjects = {error-analysis,surrogate-models}, title = {A goal-oriented adaptive discrete empirical interpolation method}, year = {2018}} @conference{Sandu_2019_ML-localization_ICCS, address = {Faro, Algarve, Portugal}, author = {A.S.Z. Moosavi and A. Attia and A. Sandu}, booktitle = {Machine Learning and Data Assimilation for Dynamical Systems track, International Conference on Computational Science ICCS 2019}, date-added = {2018-02-24 22:12:16 +0000}, date-modified = {2022-11-26 10:14:53 -0500}, doi = {10.1007/978-3-030-22747-0_16}, editor = {Rodrigues J. et al.}, number = {Paper 394}, pages = {199--212}, series = {Lecture Notes in Computer Science}, subjects = {machine-learning, inverse-problems}, title = {Tuning covariance localization using machine learning}, url = {https://doi.org/10.1007/978-3-030-22747-0_16}, volume = {11539}, year = {2019}, bdsk-url-1 = {https://arxiv.org/pdf/1801.00548.pdf}} @conference{Sandu_2019_ML-UQ-NWP_ICCS, address = {Faro, Algarve, Portugal}, author = {A.S.Z. Moosavi and V. Rao and A. Sandu}, booktitle = {Machine Learning and Data Assimilation for Dynamical Systems track, International Conference on Computational Science ICCS 2019}, date-added = {2018-02-24 22:10:14 +0000}, date-modified = {2021-04-03 00:17:56 -0400}, doi = {10.1007/978-3-030-22747-0_10}, editor = {Rodrigues J. et al.}, number = {Paper 445}, pages = {126-140}, series = {Lecture Notes in Computer Science}, subjects = {machine-learning, uncertainty-quantification}, title = {A learning-based approach for uncertainty analysis in numerical weather prediction}, url = {https://doi.org/10.1007/978-3-030-22747-0_10}, volume = {11539}, year = {2019}, bdsk-url-1 = {https://arxiv.org/abs/1802.08055}} @article{Sandu_2019_SoS, author = {J. Little and E. Hester and S. Elsawah and G. Filz and A. Sandu and C. Carey and T. Iwanaga and T. Jakeman}, date-added = {2018-02-24 22:05:09 +0000}, date-modified = {2021-04-03 22:04:19 -0400}, doi = {j.envsoft.2018.11.011}, journal = {Environmental Modelling and Software}, pages = {82--94}, subjects = {earth-sciences}, title = {A tiered, system-of-systems architecture to assess and enhance sustainability}, url = {https://doi.org/10.1016/j.envsoft.2018.11.011}, volume = {112}, year = {2019}, bdsk-url-1 = {https://doi.org/10.1016/j.envsoft.2018.11.011}, bdsk-url-2 = {https://doi.org/j.envsoft.2018.11.011}} @article{Sandu_2018_Hybrid-MBD-TLM, author = {S.M. Corner and C. Sandu and A. Sandu}, date-added = {2018-02-24 22:01:36 +0000}, date-modified = {2021-04-03 00:29:02 -0400}, doi = {10.1016/j.nahs.2018.07.003}, journal = {Nonlinear Analysis: Hybrid Systems}, pages = {19--40}, subjects = {sensitivity-analysis. computational-engineering}, title = {Modeling and Sensitivity Analysis Methodology for Hybrid Dynamical Systems}, url = {https://doi.org/10.1016/j.nahs.2018.07.003}, volume = {9}, year = {2018}, bdsk-url-1 = {https://doi.org/10.1016/j.nahs.2018.07.003}} @article{Sandu_2019_MR-GARK_High-Order, author = {A. Sarshar and S. Roberts and A. Sandu}, date-added = {2017-06-17 17:20:40 +0000}, date-modified = {2021-04-03 00:16:58 -0400}, doi = {10.1137/18M1182875}, journal = {SIAM Journal on Scientific Computing}, number = {2}, pages = {A816-A847}, subjects = {time-integration, multimethods}, title = {Design of high-order decoupled multirate {GARK} schemes}, url = {https://doi.org/10.1137/18M1182875}, volume = {41}, year = {2019}, bdsk-url-1 = {https://arxiv.org/abs/1804.07716}} @article{Sandu_2018_EPIRK-adjoint, author = {M. Narayanamurthi and U. Romer and A. Sandu}, date-added = {2017-06-17 17:18:43 +0000}, date-modified = {2021-04-03 00:33:20 -0400}, doi = {10.1080/10556788.2018.1448087}, journal = {Optimization Methods and Software}, number = {4--6}, pages = {750--770}, subjects = {time-integration, sensitivity-analysis, computational-engineering}, title = {Solving parameter estimation problems with discrete adjoint exponential integrators}, url = {https://doi.org/10.1080/10556788.2018.1448087}, volume = {33}, year = {2018}, bdsk-url-1 = {https://arxiv.org/pdf/1701.06528.pdf}} @article{Sandu_2018_MP-LROM-applications, author = {A.Z. Moosavi and R. Stefanescu and A. Sandu}, date-added = {2017-06-17 17:13:04 +0000}, date-modified = {2021-04-03 00:31:50 -0400}, doi = {10.1016/j.cam.2017.11.018}, journal = {Journal of Computational and Applied Mathematics}, pages = {629--644}, subjects = {surrogate-models, machine-learning}, title = {Parametric domain decomposition for accurate reduced order models: applications of {MP-LROM} methodology}, url = {https://doi.org/10.1016/j.cam.2017.11.018}, volume = {340}, year = {2018}, bdsk-url-1 = {https://doi.org/10.1016/j.cam.2017.11.018}} @article{Sandu_2018_vehicle-optimization, author = {Yitao Zhu and Corina Sandu and Daniel Dopico and Adrian Sandu}, date-added = {2017-06-17 17:03:55 +0000}, date-modified = {2021-04-03 00:36:09 -0400}, doi = {10.1080/15397734.2017.1338576}, journal = {Mechanics Based Design of Structures and Machines}, number = {2}, pages = {254-266}, subjects = {sensitivity-analysis. computational-engineering, optimization}, techreport = {LMBD-2016-0203}, title = {Benchmarking of adjoint sensitivity-based optimization techniques using a vehicle ride case study}, url = {http://dx.doi.org/10.1080/15397734.2017.1338576}, volume = {46}, year = {2018}, bdsk-url-1 = {http://dx.doi.org/10.1080/15397734.2017.1338576}} @conference{Sandu_2013_sensitivity_ODE-MBD, address = {Portland, USA}, author = {Y. Zhu and D. Dopico and A. Sandu and C. Sandu}, booktitle = {Proceedings of the ASME 2013 International Design Engineering Technical Conferences, Computers and Information in Engineering Conference}, date-added = {2017-03-11 01:00:57 +0000}, date-modified = {2021-04-11 10:39:21 -0400}, month = {August}, number = {DETC2013/AVT-13212}, organization = {ASME}, subjects = {sensitivity-analysis,computational-engineering}, title = {Computing sensitivity analysis of vehicle dynamics based on multibody models}, year = {2013}, bdsk-url-1 = {http://dx.doi.org/doi:10.1115/1.4026492}} @article{Sandu_2018_structural-uncertainty, author = {A.Z. Moosavi and A. Sandu}, date-added = {2017-02-13 16:03:28 +0000}, date-modified = {2021-04-03 00:31:25 -0400}, doi = {10.1088/1681-7575/aa8f53}, journal = {Metrologia}, number = {1}, pages = {S1--S12}, subjects = {uncertainty-quantification, machine-learning}, title = {A state-space approach to analyze structural uncertainty in physical models}, url = {http://iopscience.iop.org/10.1088/1681-7575/aa8f53}, volume = {55}, year = {2018}, bdsk-url-1 = {https://arxiv.org/abs/1511.02909}} @article{Sandu_2015_AMF-Rosenbrock, author = {H. Zhang and A. Sandu and P. Tranquilli}, date-added = {2017-02-13 04:45:52 +0000}, date-modified = {2021-04-11 00:17:44 -0400}, doi = {10.1016/j.cam.2015.03.005}, journal = {Journal of Computational and Applied Mathematics}, pages = {196--210}, subjects = {time-integration}, title = {Application of approximate matrix factorization to high-order linearly-implicit {Runge-Kutta} methods}, url = {http://dx.doi.org/10.1016/j.cam.2015.03.005}, volume = {286}, year = {2015}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.cam.2015.03.005}} @article{Sandu_2016_sampling-chemistry, author = {A.S.Z. Moosavi and P. Tranquilli and A. Sandu}, date-added = {2017-02-13 04:33:45 +0000}, date-modified = {2021-04-03 22:12:26 -0400}, doi = {10.11948/2016025}, journal = {Journal of Applied Analysis and Computation}, number = {2}, pages = {322-335}, subjects = {computational-biology}, title = {Solving stochastic chemical kinetics by {Metropolis-Hastings} sampling}, url = {http://dx.doi.org/10.11948/2016025}, volume = {6}, year = {2016}, bdsk-url-1 = {http://dx.doi.org/10.11948/2016025}} @article{Sandu_2019_EPIRKW, author = {M. Narayanamurthi and P. Tranquilli and A. Sandu and M. Tokman}, date-added = {2017-02-13 04:24:21 +0000}, date-modified = {2021-04-03 00:19:48 -0400}, doi = {10.1007/s10915-018-0761-3}, journal = {Journal of Scientific Computing}, number = {1}, pages = {167--201}, subjects = {time-integration}, title = {{EPIRK-W} and {EPIRK-K} time integration methods}, url = {https://doi.org/10.1007/s10915-018-0761-3}, volume = {78}, year = {2019}, bdsk-url-1 = {https://arxiv.org/pdf/1701.06528.pdf}} @article{Sandu_2018_MP-LROM, author = {A.Z. Moosavi and R. Stefanescu and A. Sandu}, date-added = {2017-02-13 04:20:49 +0000}, date-modified = {2021-04-03 00:32:17 -0400}, doi = {10.1002/nme.5624}, journal = {International Journal of Numerical Methods in Engineering}, number = {3}, pages = {512--533}, subjects = {machine-learning, uncertainty-quantification}, title = {Efficient construction of local parametric reduced order models using machine learning techniques}, url = {http://dx.doi.org/10.1002/nme.5624}, volume = {113}, year = {2018}, bdsk-url-1 = {https://arxiv.org/abs/1511.02909}} @article{Sandu_2018_Covariance-Cholesky, author = {E.D. Nino-Ruiz and A. Sandu}, date-added = {2017-02-13 04:15:17 +0000}, date-modified = {2021-04-03 00:34:12 -0400}, doi = {10.1137/16M1097031}, journal = {SIAM Journal on Scientific Computing}, number = {2}, pages = {A867--A886}, subjects = {inverse-problems, statistical-computing}, title = {An ensemble {Kalman} filter implementation based on modified {Cholesky} decomposition for inverse covariance matrix estimation}, url = {https://www.sciencedirect.com/science/article/pii/S0377042717305782?via%3Dihub}, volume = {40}, year = {2018}, bdsk-url-1 = {https://arxiv.org/abs/1605.08875}} @article{Sandu_2018_Cluster-HMC, author = {A. Attia and A.Z. Moosavi and A. Sandu}, date-added = {2017-02-03 14:23:17 +0000}, date-modified = {2021-04-03 00:29:39 -0400}, doi = {10.3390/atmos9060213}, journal = {Atmosphere}, number = {6}, subjects = {inverse-problems, statistical-computing}, title = {Cluster sampling filters for non-{Gaussian} data assimilation}, url = {https://doi.org/10.3390/atmos9060213}, volume = {9}, year = {2018}, bdsk-url-1 = {https://arxiv.org/abs/1607.03592}} @article{Sandu_2019_parallelCovariance, author = {E.D. Nino-Ruiz and A. Sandu}, date-added = {2017-02-03 14:21:08 +0000}, date-modified = {2021-04-11 15:51:56 -0400}, doi = {10.1007/s10586-017-1407-1}, journal = {Cluster Computing}, pages = {2211--2221}, subjects = {inverse-problems, high-performance-computing}, title = {Efficient parallel implementation of {DDDAS} inference using an ensemble {Kalman} filter with shrinkage covariance matrix estimation}, url = {https://doi.org/10.1007/s10586-017-1407-1}, volume = {22}, year = {2019}, bdsk-url-1 = {https://link.springer.com/article/10.1007/s10586-017-1407-1}} @article{Sandu_2017_analytical-JacVec, author = {P. Tranquilli and R. Glandon and A. Sarshar and A. Sandu}, date-added = {2016-11-27 16:56:33 +0000}, date-modified = {2021-04-03 22:10:43 -0400}, doi = {10.1016/j.cam.2016.05.002}, journal = {Journal of Computational and Applied Mathematics}, pages = {213--223}, subjects = {computational-engineering,time-integration}, title = {Analytical {J}acobian-vector products for matrix-free methods}, url = {http://www.sciencedirect.com/science/article/pii/S0377042716302199}, volume = {310}, year = {2017}, bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0377042716302199}} @article{Sandu_2016_IJNMF-editorial, author = {{\c S}tef{\u a}nescu, R{\u a}zvan and Noack, Bernd R. and Sandu, Adrian}, date-modified = {2021-04-03 22:12:43 -0400}, doi = {10.1002/fld.4290}, issn = {1097-0363}, journal = {International Journal for Numerical Methods in Fluids}, pages = {n/a--n/a}, subjects = {surrogate-models}, title = {Model reduction and inverse poblems and data assimilation with geophysical applications. {A} special issue in honor of {I. Michael Navon's} 75th birthday}, url = {http://dx.doi.org/10.1002/fld.4290}, year = {2016}, bdsk-url-1 = {http://dx.doi.org/10.1002/fld.4290}} @article{Sandu_2016_reducedSampling4DVar, author = {A. Attia and R. Stefanescu and A. Sandu}, date-added = {2016-04-28 00:31:16 +0000}, date-modified = {2021-04-11 15:26:34 -0400}, doi = {10.1002/fld.4255}, journal = {International Journal of Numerical Methods in Fluids}, number = {1}, pages = {28--51}, subjects = {inverse-problems,surrogate-models,statistical-computing}, title = {The reduced-order hybrid {Monte-Carlo} sampling smoother}, url = {http://dx.doi.org/10.1002/fld.4255}, volume = {83}, year = {2016}, bdsk-url-1 = {http://arxiv.org/abs/1403.7137}} @article{Sandu_2015_BC-health, author = {Matthew D. Turner and Daven K. Henze and Amir Hakami and Shunliu Zhao and Jaroslav Resler and Gregory R. Carmichael and Charles O. Stanier and Jaemeen Baek and Adrian Sandu and Armistead G. Russell and Athanasios Nenes and Gill-Ran Jeong and Shannon L. Capps and Peter B. Percell and Rob W. Pinder and Sergey L. Napelenok and Jesse O. Bash and Tianfeng Chai}, date-added = {2016-03-10 03:24:32 +0000}, date-modified = {2021-04-11 00:17:20 -0400}, doi = {10.1021/es505968b}, eprint = {http://dx.doi.org/10.1021/es505968b}, journal = {Environmental Science \& Technology}, note = {PMID: 25729920}, number = {7}, pages = {4362-4371}, subjects = {earth-sciences}, title = {Differences between magnitudes and health impacts of {BC} emissions across the {United States} using 12 km scale seasonal source apportionment}, url = {http://dx.doi.org/10.1021/es505968b}, volume = {49}, year = {2015}, bdsk-url-1 = {http://dx.doi.org/10.1021/es505968b}} @article{Sandu_2015_exponential-CMA, author = {A. Moosavi and A. Sandu}, date-added = {2016-03-10 03:18:26 +0000}, date-modified = {2021-04-11 00:17:03 -0400}, doi = {10.3846/13926292.2015.1048760}, journal = {Mathematical Modelling and Analysis}, number = {3}, pages = {382--395}, subjects = {time-integration,computational-biology}, title = {Approximate exponential algorithms to solve the chemical master equation}, url = {http://dx.doi.org/10.3846/13926292.2015.1048760}, volume = {20}, year = {2015}, bdsk-url-1 = {http://dx.doi.org/10.3846/13926292.2015.1048760}} @article{Sandu_2015_BC-emissions, abstract = {Recent studies have shown that exposure to particulate black carbon (BC) has significant adverse health effects and may be more detrimental to human health than exposure to PM 2.5 as a whole. Mobile source BC emission controls, mostly on diesel-burning vehicles, have successfully decreased mobile source BC emissions to less than half of what they were 30 years ago. Quantification of the benefits of previous emissions controls conveys the value of these regulatory actions and provides a method by which future control alternatives could be evaluated. In this study we use the adjoint of the Community Multiscale Air Quality (CMAQ) model to estimate highly-resolved spatial distributions of benefits related to emission reductions for six urban regions within the continental US. Emissions from outside each of the six chosen regions account for between 7% and 27% of the premature deaths attributed to exposure to BC within the region. While we estimate that nonroad mobile and onroad diesel emissions account for the largest number of premature deaths attributable to exposure to BC, onroad gasoline is shown to have more than double the benefit per unit emission relative to that of nonroad mobile and onroad diesel. Within the region encompassing New York City and Philadelphia, reductions in emissions from large industrial combustion sources that are not classified as EGUs (i.e., non-EGU) are estimated to have up to triple the benefits per unit emission relative to reductions to onroad diesel sectors, and provide similar benefits per unit emission to that of onroad gasoline emissions in the region. While onroad mobile emissions have been decreasing in the past 30 years and a majority of vehicle emission controls that regulate PM focus on diesel emissions, our analysis shows the most efficient target for stricter controls is actually onroad gasoline emissions.}, author = {Matthew D Turner and Daven K Henze and Shannon L Capps and Amir Hakami and Shunliu Zhao and Jaroslav Resler and Gregory R Carmichael and Charles O Stanier and Jaemeen Baek and Adrian Sandu and Armistead G Russell and Athanasios Nenes and Rob W Pinder and Sergey L Napelenok and Jesse O Bash and Peter B Percell and Tianfeng Chai}, date-added = {2016-03-10 03:09:47 +0000}, date-modified = {2021-04-11 00:16:45 -0400}, journal = {Environmental Research Letters}, number = {11}, pages = {114014}, subjects = {earth-sciences}, title = {Premature deaths attributed to source-specific BC emissions in six urban US regions}, url = {http://stacks.iop.org/1748-9326/10/i=11/a=114014}, volume = {10}, year = {2015}, bdsk-url-1 = {http://stacks.iop.org/1748-9326/10/i=11/a=114014}} @inproceedings{Sandu_2015_ModifiedCholesky-SCALA, address = {Austin, Texas}, author = {Nino-Ruiz, Elias D. and Sandu, Adrian and Deng, Xinwei}, booktitle = {Proceedings of the 6th Workshop on Latest Advances in Scalable Algorithms for Large-Scale Systems}, date-added = {2015-12-09 20:27:58 +0000}, date-modified = {2021-04-11 00:16:24 -0400}, doi = {10.1145/2832080.2832084}, series = {ScalA '15}, subjects = {inverse-problems,statistical-computing}, title = {A parallel ensemble {Kalman} filter implementation based on modified {Cholesky} decomposition}, url = {http://doi.acm.org/10.1145/2832080.2832084}, volume = {Supercomputing 2015}, year = {2015}, bdsk-url-1 = {http://doi.acm.org/10.1145/2832080.2832084}, bdsk-url-2 = {http://dx.doi.org/10.1145/2832080.2832084}} @misc{Sandu_2017_MATLODE, author = {A. D'Augustine and A. Sandu}, date-added = {2015-11-15 01:18:34 +0000}, date-modified = {2021-04-03 22:11:31 -0400}, journal = {ACM TOMS}, subjects = {software,time-integration}, title = {{MATLODE: A Matlab} suite for {ODE} integration and sensitivity analysis}, volume = {Submitted}, year = {2017}} @article{Sandu_2017_robust-DA, author = {V. Rao and A. Sandu and M. Ng and E.D. Nino-Ruiz}, date-added = {2015-11-01 02:09:28 +0000}, date-modified = {2021-04-03 22:11:54 -0400}, doi = {10.1137/15M1045910}, journal = {SIAM Journal on Scientific Computing}, number = {3}, pages = {B548---B570}, subjects = {inverse-problems}, title = {Robust data assimilation using {L}$_1$ and {H}uber norms}, url = {https://doi.org/10.1137/15M1045910}, volume = {39}, year = {2017}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.procs.2014.05.113}} @article{Sandu_2016_time-parallel-fdvar, author = {V. Rao and A. Sandu}, date-added = {2015-07-04 03:20:14 +0000}, date-modified = {2021-04-03 22:13:27 -0400}, doi = {10.1016/j.jcp.2016.02.040}, journal = {Journal of Computational Physics}, pages = {583--593}, subjects = {inverse-problems,sensitivity-analysis,optimization,high-performance-computing}, title = {A time-parallel approach to strong-constraint four-dimensional variational data assimilation}, url = {http://dx.doi.org/10.1016/j.jcp.2016.02.040}, volume = {313}, year = {2016}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.jcp.2016.02.040}} @conference{Sandu_2014_MR-GARK_multiphysics_SCEE, author = {M. G\"{u}nther and C. Hachtel and A. Sandu}, booktitle = {10th International Conference on Scientific Computing in Electrical Engineering}, date-added = {2015-06-30 23:46:35 +0000}, date-modified = {2021-04-11 15:57:50 -0400}, doi = {10.1007/978-3-319-30399-4_12}, subjects = {time-integration,multimethods}, title = {Multirate {GARK} schemes for multiphysics problems}, url = {http://dx.doi.org/10.1007/978-3-319-30399-4_12}, year = {2014}, bdsk-url-1 = {http://dx.doi.org/10.1007/978-3-319-30399-4_12}} @article{Sandu_2016_ROS-ExplicitFirstStage, author = {A. Sandu}, date-added = {2015-04-26 20:03:15 +0000}, date-modified = {2021-04-03 22:13:53 -0400}, doi = {10.1080/00207160.2015.1012837}, journal = {International Journal of Computer Mathematics}, number = {6}, pages = {995-1010}, subjects = {time-integration}, title = {Rosenbrock methods with an explicit first stage}, url = {http://dx.doi.org/10.1080/00207160.2015.1012837}, volume = {93}, year = {2016}, bdsk-url-1 = {http://dx.doi.org/10.1080/00207160.2015.1012837}} @inproceedings{Sandu_2009_ChemicalKineticsSIMD_ICCS, author = {J.C. Linford and A. Sandu}, booktitle = {{Proceedings of the 2009 International Conference on Computational Science (ICCS-2009)}}, date-modified = {2021-04-11 15:03:54 -0400}, subjects = {high-performance-computing}, title = {Chemical kinetics on multi-core {SIMD} architectures}, url = {http://www.iccs-meeting.org/iccs2009/PosterPapers/Poster-paper01.pdf}, year = {2009}, bdsk-url-1 = {%7Bhttp://www.iccs-meeting.org/iccs2009/PosterPapers/Poster-paper01.pdf%7D}} @article{Sandu_2016_derivative-Free-TR-DA, author = {E.D. Nino-Ruiz and A. Sandu}, date-added = {2015-04-15 20:03:15 +0000}, date-modified = {2021-04-03 22:14:30 -0400}, doi = {10.1016/j.cam.2015.02.033}, journal = {Journal of Computational and Applied Mathematics}, pages = {164--179}, subjects = {inverse-problems,optimization}, title = {A derivative-free trust region framework for variational data assimilation}, url = {http://dx.doi.org/10.1016/j.cam.2015.02.033}, volume = {293}, year = {2016}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.cam.2015.02.033}} @article{Sandu_2015_covarianceShrinkage, author = {E.D. Nino-Ruiz and A. Sandu}, date-added = {2015-04-15 19:57:51 +0000}, date-modified = {2021-04-11 00:15:49 -0400}, doi = {10.1007/s10236-015-0888-9}, journal = {Ocean Dynamics}, number = {11}, pages = {1423--1439}, subjects = {inverse-problems,statistical-computing}, title = {Ensemble {Kalman} filter implementations based on shrinkage covariance matrix estimation}, url = {http://dx.doi.org/10.1007/s10236-015-0888-9}, volume = {65}, year = {2015}, bdsk-url-1 = {http://dx.doi.org/10.1007/s10236-015-0888-9}} @book{Sandu_Book_IMEX, author = {A. Sandu and R. Spiteri}, date-added = {2015-04-13 16:52:18 +0000}, date-modified = {2021-04-03 22:16:23 -0400}, publisher = {SIAM}, subjects = {time-integration}, title = {Implicit-explicit time integration}, year = {2015}, bdsk-url-1 = {http://arxiv.org/abs/1310.5573}} @book{Sandu_Book_Multirate, author = {A. Sandu and M. G\"{u}nther}, date-added = {2015-04-13 16:49:54 +0000}, date-modified = {2021-04-03 22:08:33 -0400}, publisher = {SIAM}, subjects = {time-integration}, title = {Multirate time stepping methods}, year = {2018}, bdsk-url-1 = {http://arxiv.org/abs/1310.5573}} @url{FATODE_website, annote = {software, time-integration, sensitivity-analysis}, author = {Computational Science Laboratory}, date-added = {2015-02-01 01:43:11 +0000}, date-modified = {2021-04-02 16:28:03 -0400}, subjects = {software, time-integration, sensitivity-analysis}, title = {{FATODE: Forward, Adjoint and Tangent linear integration of ODEs}.}, url = {http://people.cs.vt.edu/~asandu/Software/FATODE}, urldate = {\the\year}, bdsk-url-1 = {http://people.cs.vt.edu/~asandu/Software/FATODE}} @article{Sandu_2015_fdvar-aposteriori, author = {V. Rao and A. Sandu}, date-added = {2015-01-31 20:20:51 +0000}, date-modified = {2021-04-11 00:15:22 -0400}, doi = {10.1137/140990036}, journal = {SIAM/ASA Journal on Uncertainty Quantification}, number = {1}, pages = {737--761}, subjects = {error-analysis,sensitivity-analysis,inverse-problems}, title = {A posteriori error estimates for inverse problems}, url = {http://dx.doi.org/10.1137/140990036}, volume = {3}, year = {2015}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.procs.2014.05.113}} @article{Sandu_2015_dynamicResponse, author = {Y. Zhu and D. Dopico and C. Sandu and A. Sandu}, date-added = {2015-01-31 13:12:47 +0000}, date-modified = {2021-04-11 00:14:59 -0400}, doi = {10.1115/1.4029601}, journal = {Journal of Computational and Nonlinear Dynamics}, number = {3}, pages = {031009}, subjects = {sensitivity-analysis,computational-engineering,optimization}, title = {Dynamic response optimization of complex multibody systems in a penalty formulation using adjoint sensitivity}, url = {http://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?articleid=2091925}, volume = {10}, year = {2015}, bdsk-url-1 = {http://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?articleid=2091925}, bdsk-url-2 = {http://dx.doi.org/10.1115/1.4029601}} @webpage{Sandu_2014_MBSVT, author = {Y, Zhu and D. Dopico and A. Sandu and C. Sandu}, date-added = {2015-01-31 13:05:44 +0000}, date-modified = {2021-04-03 21:46:01 -0400}, lastchecked = {January 2015}, subjects = {software, computational-engineering}, title = {MBSVT. A library for the simulation and optimization of multibody systems}, url = {http://people.cs.vt.edu/~asandu/Software/MBSVT}, year = {2014}, bdsk-url-1 = {http://people.cs.vt.edu/~asandu/Software/MBSVT}} @inproceedings{Sandu_2011_FATODE_HPC, author = {H. Zhang and A. Sandu}, booktitle = {{Proceedings of the 2011 Spring Simulation Multiconference (SpringSim'11), High Performance Computing Symposium (HPC-2011)}}, date-added = {2015-01-12 17:36:21 +0000}, date-modified = {2021-04-11 11:16:50 -0400}, location = {Boston, MA}, month = {April}, organization = {{Society for Modeling and Simulation International (SCS)}}, pages = {152--159}, subjects = {time-integration,sensitivity-analysis,software}, title = {{FATODE: A} library for forward, adjoint and tangent linear Integration of stiff systems}, url = {http://dl.acm.org/citation.cfm?id=2048596}, year = {2011}, bdsk-url-1 = {http://dl.acm.org/citation.cfm?id=2048596}} @article{Sandu_2014_POD-forward-SWE, author = {R. Stefanescu and A. Sandu and I.M. Navon}, date-added = {2015-01-07 04:16:28 +0000}, date-modified = {2021-04-11 00:37:07 -0400}, doi = {10.1002/fld.3946}, journal = {International Journal for Numerical Methods for Fluids}, number = {8}, pages = {497--521}, subjects = {surrogate-models,computational-engineering}, title = {Comparison of {POD} reduced order strategies for the nonlinear {2D} shallow water equations}, url = {http://onlinelibrary.wiley.com/doi/10.1002/fld.3946/abstract}, volume = {76}, year = {2014}, bdsk-url-1 = {http://onlinelibrary.wiley.com/doi/10.1002/fld.3946/abstract}} @article{Sandu_2015_samplingFilter, author = {A. Attia and A. Sandu}, date-added = {2015-01-07 01:50:36 +0000}, date-modified = {2021-04-11 00:14:33 -0400}, doi = {10.3934/geosci.2015.1.41}, journal = {AIMS Geosciences}, pages = {41-78}, subjects = {inverse-problems,statistical-computing}, title = {A hybrid {M}onte--{C}arlo sampling filter for non-{G}aussian data assimilation}, url = {http://dx.doi.org/10.3934/geosci.2015.1.41}, volume = {1}, year = {2015}, bdsk-url-1 = {http://arxiv.org/abs/1403.7137}} @inproceedings{Sandu_2010_LoadBalancing_ACM, author = {Tae-Hyuk Ahn and Adrian Sandu}, booktitle = {ACM International Conference on Bioinformatics and Computational Biology, ACM-BCB 2010}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:38:19 -0400}, doi = {10.1145/1854776.1854811}, editor = {Aidong Zhang and Mark Borodovsky and Gultekin {\"O}zsoyoglu and Armin R. Mikler}, location = {Niagara Falls, NY, USA}, pages = {237--246}, subjects = {high-performance-computing,computational-biology}, title = {Parallel stochastic simulations of budding yeast cell cycle: load balancing strategies and theoretical analysis}, url = {http://dx.doi.org/10.1145/1854776.1854811}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/10.1145/1854776.1854811}} @inproceedings{Sandu_2011_fullyImplicitSSA_HPC, author = {T.-H. Ahn and A. Sandu}, booktitle = {{Proceedings of the 2011 Spring Simulation Multiconference (SpringSim'11), High Performance Computing Symposium (HPC-2011)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:19:03 -0400}, location = {Boston, MA}, month = {April}, organization = {{Society for Modeling and Simulation International (SCS)}}, pages = {127--134}, subjects = {time-integration,computational-biology}, title = {Fully implicit tau-leaping methods for the stochastic simulation of chemical kinetics}, url = {http://dl.acm.org/citation.cfm?id=2048593}, year = {2011}, bdsk-url-1 = {http://dl.acm.org/citation.cfm?id=2048593}} @inproceedings{Sandu_2011_weakImplicitSSA_ICCS, author = {T.-H. Ahn and A. Sandu}, booktitle = {{International Conference on Computational Science (ICCS-2011)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:18:44 -0400}, doi = {10.1016/j.procs.2011.04.250}, month = {June}, subjects = {time-integration,computational-biology}, title = {Implicit second order weak Taylor tau-leaping methods for the stochastic simulation of chemical kinetics}, url = {http://dx.doi.org/10.1016/j.procs.2011.04.250}, year = {2011}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.procs.2011.04.250}} @article{Sandu_2015_implicit-SSA, author = {T.-H. Ahn and A. Sandu and X. Han}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:14:17 -0400}, doi = {10.11948/2015034}, journal = {Journal of Applied Analysis and Computation}, number = {3}, pages = {420--452}, subjects = {time-integration,computational-biology}, title = {Implicit simulation methods for stochastic chemical kinetics}, url = {http://dx.doi.org/10.11948/2015034}, volume = {5}, year = {2015}, bdsk-url-1 = {http://arxiv.org/abs/1303.3614}} @article{Sandu_2014_stochasticBalancing, author = {T.-H. Ahn and A. Sandu and L.T. Watson and C.A. Shaffer and Y. Cao and W.T. Baumann}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:36:40 -0400}, doi = {10.1007%2Fs10766-014-0309-6}, journal = {International Journal of Parallel Programming}, subjects = {high-performance-computing,computational-biology}, title = {A framework to analyze the performance of load balancing schemes for ensembles of stochastic simulations}, url = {http://link.springer.com/article/10.1007/s10766-014-0309-6/fulltext.html}, year = {2014}, bdsk-url-1 = {http://link.springer.com/article/10.1007/s10766-014-0309-6/fulltext.html}} @inproceedings{Sandu_2010_largeSOA_HPC, author = {M. Alexe and A. Cioaca and A. Sandu}, booktitle = {{Proceedings of the 2010 Spring Simulation Multiconference (SpringSim'10), High Performance Computing Symposium (HPC-2010)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:37:47 -0400}, doi = {10.1145/1878537.1878626}, editor = {Robert M. McGraw and Eric S. Imsand and Michael J. Chinni}, location = {Orlando, Florida, USA}, organization = {{Society for Modeling and Simulation International (SCS)}}, pages = {85:1--8}, subjects = {inverse-problems,sensitivity-analysis,high-performance-computing}, title = {Obtaining and using second order derivative information in the solution of large scale inverse problems}, url = {http://dx.doi.org/10.1145/1878537.1878626}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/10.1145/1878537.1878626}} @techreport{Sandu_2011_adaptiveInverseDADJ, address = {2202 Kraft Drive, Blacksburg, VA, 24061}, author = {M. Alexe and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:22:17 -0400}, institution = {Computer Science Department, Virginia Tech}, number = {TR-12-02}, subjects = {inverse-problems,sensitivity-analysis}, title = {A fully discrete framework for the adaptive solution of inverse problems}, url = {http://eprints.cs.vt.edu/archive/00001178/}, year = {2011}, bdsk-url-1 = {http://eprints.cs.vt.edu/archive/00001178/}} @inproceedings{Sandu_2011_adaptiveAdjoints_ICCS, author = {M. Alexe and A. Sandu}, booktitle = {International Conference on Computational Science (ICCS-2011)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:18:02 -0400}, doi = {10.1016/j.procs.2011.04.192}, month = {June}, pages = {1771--1781}, subjects = {sensitivity-analysis,time-integration}, title = {On the adaptive solution of space--time inverse problems with the adjoint method}, url = {http://dx.doi.org/10.1016/j.procs.2011.04.192}, volume = {4}, year = {2011}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.procs.2011.04.192}} @article{Sandu_2011_spaceTimeDADJ, author = {M. Alexe and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:21:37 -0400}, doi = {10.1016/j.jcp.2014.03.042}, journal = {Inverse Problems}, pages = {21--39}, subjects = {inverse-problems,sensitivity-analysis,optimization}, title = {Space-time adaptive solution of inverse problems with the discrete adjoint method}, url = {http://dx.doi.org/10.1016/j.jcp.2014.03.042}, volume = {270}, year = {2011}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.jcp.2014.03.042}} @article{Sandu_2009_dadjVariableStep, author = {M. Alexe and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:01:32 -0400}, doi = {10.1016/j.cam.2009.08.109}, journal = {Journal of Computational and Applied Mathematics}, number = {4}, pages = {1005--1020}, subjects = {sensitivity-analysis,time-integration}, title = {On the discrete adjoints of variable step time integrators}, url = {http://dx.doi.org/10.1016/j.cam.2009.08.109}, volume = {233}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/doi:10.1016/j.cam.2009.08.109}} @article{Sandu_2009_DENSERKS, author = {M. Alexe and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:00:47 -0400}, doi = {10.1016/j.amc.2008.11.035}, journal = {Applied Mathematics and Computation}, number = {2}, pages = {328--34}, subjects = {software,sensitivity-analysis}, title = {Forward and adjoint sensitivity analysis with continuous explicit {Runge-Kutta} schemes}, url = {http://dx.doi.org/10.1016/j.amc.2008.11.035}, volume = {208}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.amc.2008.11.035}} @inproceedings{Sandu_2007_dadjFuxLtd_ACMSE, address = {New York, NY, USA}, author = {M. Alexe and A. Sandu}, booktitle = {Proceedings of the 45th annual southeast regional conference}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:30:35 -0400}, doi = {10.1145/1233341.1233409}, location = {Winston-Salem, North Carolina}, numpages = {6}, pages = {373--378}, publisher = {ACM}, series = {ACM-SE 45}, subjects = {uncertainty-quantification,sensitivity-analysis}, title = {An investigation of discrete adjoints for flux-limited numerical schemes}, url = {http://dx.doi.org/10.1145/1233341.1233409}, year = {2007}, bdsk-url-1 = {http://doi.acm.org/10.1145/1233341.1233409}, bdsk-url-2 = {http://dx.doi.org/10.1145/1233341.1233409}} @article{Sandu_2016_sampling-smoother-fdvar, author = {A. Attia and V. Rao and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 22:15:11 -0400}, doi = {10.1002/fld.4259}, journal = {International Journal of Numerical Methods in Fluids}, number = {1}, pages = {90--112}, subjects = {inverse-problems,statistical-computing}, title = {A hybrid {Monte-Carlo} sampling smoother for four dimensional data assimilation}, url = {http://dx.doi.org/10.1002/fld.4259}, volume = {83}, year = {2016}, bdsk-url-1 = {http://arxiv.org/abs/1403.7137}} @inproceedings{Sandu_2004_adaptiveAQM_SAC, author = {C. Belwal and A. Sandu and E.M. Constantinescu}, booktitle = {{ACM Symposium on Applied Computing (SAC-2004)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:28:57 -0400}, doi = {10.1145/967900.967951}, location = {Nicosia, Cyprus}, month = {March}, pages = {235--239}, subjects = {high-performance-computing,earth-sciences}, title = {{Adaptive resolution modeling of air pollution}}, url = {http://dx.doi.org/10.1145/967900.967951}, year = {2004}, bdsk-url-1 = {http://dx.doi.org/10.1145/967900.967951}} @article{Sandu_2010_polychaoEstimationVehicles, author = {E. Blanchard and A. Sandu and C. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:36:57 -0400}, doi = {10.1243/14644193JMBD204}, journal = {Journal of Multi-body Dynamics}, pages = {59--81}, subjects = {inverse-problems,uncertainty-quantification}, title = {Polynomial chaos based parameter estimation methods for vehicle systems}, url = {http://dx.doi.org/10.1243/14644193JMBD204}, volume = {224}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/10.1243/14644193JMBD204}} @article{Sandu_2010_polychaosEKF, author = {E. Blanchard and A. Sandu and C. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:36:09 -0400}, doi = {10.1115/1.4002481}, journal = {Journal of Dynamic Systems, Measurement, and Control}, number = {6}, pages = {18}, subjects = {uncertainty-quantification,inverse-problems}, title = {{PSM: A polynomial chaos-based Kalman filter approach for parameter estimation of mechanical systems}}, url = {http://dx.doi.org/10.1115/1.4002481}, volume = {132}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/10.1115/1.4002481}} @article{Sandu_2009_parameterExplicitUQ, author = {E. Blanchard and A. Sandu and C. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 14:59:50 -0400}, doi = {10.1108/02644400910970185}, journal = {Engineering Computations. International Journal for Computer-Aided Engineering and Software}, number = {5}, pages = {541--569}, subjects = {uncertainty-quantification,inverse-problems}, title = {Parameter estimation for mechanical systems via an explicit representation of uncertainty}, url = {http://dx.doi.org/10.1108/02644400910970185}, volume = {26}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/10.1108/02644400910970185}} @inproceedings{Sandu_2007_polychaosEKF_ISTVS, author = {E.M. Blanchard and A. Sandu and C. Sandu}, booktitle = {{Proceedings of the 2007 Asia-Pacific and North America Regional ISTVS Conference, paper no. PI074, The International Society for Terrain-Vehicle Systems (ISTVS)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:21:48 -0400}, location = {Fairbanks, Alaska, USA}, month = {June}, organization = {{American Society of Automotive Engineers (ASME)}}, subjects = {uncertainty-quantification,inverse-problems}, title = {Parameter estimation method using an extended {Kalman} filter}, year = {2007}} @inproceedings{Sandu_2010_polychaosLQR, author = {E. Blanchard and C. Sandu and A. Sandu}, booktitle = {ASME 2010 IDETC, 12th Advanced Vehicle and Tire Technology Conference (AVTT)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:35:41 -0400}, doi = {10.1115/detc2010-28467}, location = {Montreal, Quebec, CA}, number = {DETC2010-28467}, pages = {10}, subjects = {uncertainty-quantification,optimization}, title = {Polynomial chaos based numerical method for the LQR problem with uncertain parameters in the formulation}, url = {http://dx.doi.org/10.1115/detc2010-28467}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/10.1115/detc2010-28467}} @inproceedings{Sandu_2009_polychaosEKF_AVTT, author = {E. Blanchard and C. Sandu and A. Sandu}, booktitle = {ASME 2009 IDETC, 11th International Conference on Advanced Vehicle and Tire Technology (AVTT)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 14:59:11 -0400}, doi = {10.1115/detc2009-86402}, location = {San Diego, CA, USA}, number = {DETC2009-86402}, pages = {12}, subjects = {uncertainty-quantification,computational-engineering}, title = {{Comparison between a polynomial-chaos-based Bayesian approach and a polynomial-chaos-based EKF approach for parameter estimation with applications to vehicle dynamics}}, url = {http://dx.doi.org/10.1115/detc2009-86402}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/10.1115/detc2009-86402}} @inproceedings{Sandu_2007_polychaosEKF_AVTT, author = {E.M. Blanchard and C. Sandu and A. Sandu}, booktitle = {{Proceedings of the ASME IDETC 2007, 9-th International Conference on Advanced Vehicle and Tire Technology (AVTT)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:28:48 -0400}, doi = {10.1115/detc2007-34600}, location = {Las Vegas, Nevada, USA}, month = {September}, organization = {{The American Society of Mechanical Engineers (ASME)}}, subjects = {sensitivity-analysis,computational-engineering}, title = {A polynomial chaos based {B}ayesian approach for estimating uncertain parameters of mechanical systems}, url = {http://dx.doi.org/10.1115/detc2007-34600}, year = {2007}, bdsk-url-1 = {http://dx.doi.org/10.1115/detc2007-34600}} @article{Sandu_2014_extrapolated_IMEX-RK, author = {A. Cardone and Z. Jackiewicz and A. Sandu and H. Zhang}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:36:08 -0400}, doi = {10.3846/13926292.2014.892903}, journal = {Mathematical Modelling and Analysis}, number = {2}, pages = {18--43}, subjects = {time-integration}, title = {Extrapolated {IMEX Runge-Kutta} methods}, volume = {19}, year = {2014}, bdsk-url-1 = {http://dx.doi.org/10.3846/13926292.2014.892903}} @article{Sandu_2014_IMEX_GLM-Extrap, author = {A. Cardone and Z. Jackiewicz and A. Sandu and H. Zhang}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:35:29 -0400}, doi = {10.1007/s11075-013-9759-y}, journal = {Numerical Algorithms}, number = {3}, pages = {377-399}, subjects = {time-integration}, title = {Extrapolation-based implicit-explicit general linear methods}, url = {http://dx.doi.org/10.1007/s11075-013-9759-y}, volume = {65}, year = {2014}, bdsk-url-1 = {http://dx.doi.org/10.1007/s11075-013-9759-y}} @article{Sandu_2008_predictingAQ, author = {G.R. Carmichael and T. Chai and A. Sandu and E.M. Constantinescu and D. Daescu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:10:54 -0400}, doi = {10.1016/j.jcp.2007.02.024}, journal = {Journal of Computational Physics}, number = {7}, pages = {3540--3571}, subjects = {inverse-problems,earth-sciences}, title = {Predicting air quality: improvements through advanced methods to integrate models and measurements}, url = {http://dx.doi.org/10.1016/j.jcp.2007.02.024}, volume = {227}, year = {2008}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.jcp.2007.02.024}} @inproceedings{Sandu_2004_chemicalDA_AMS, author = {G.R. Carmichael and A. Sandu and D. Daescu and T. Chai and J.H. Seinfeld and P. Hess and T. Anderson}, booktitle = {{Proceedings of the 84-th American Meteorological Society annual meeting}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:28:28 -0400}, location = {Seattle, Washington}, month = {January 11-15}, number = {2.1}, pages = {6}, subjects = {inverse-problems,earth-sciences}, title = {Chemical data assimilation in support of air quality forecasting}, url = {https://ams.confex.com/ams/84Annual/webprogram/Paper71211.html}, volume = {Session 2: Air quality modeling and forecasting}, year = {2004}, bdsk-url-1 = {https://ams.confex.com/ams/84Annual/webprogram/Paper71211.html}} @incollection{Sandu_1996_overview-AD-AQM, author = {G.R. Carmichael and A. Sandu and F.A. Potra and V. Damian-Iordache}, booktitle = {Air Pollution IV - Monitoring, Simulation and Control}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 21:48:28 -0400}, editor = {B. Caussade and H. Power and C.A. Brebbia}, keywords = {ISBN: 978-1-85312-422-8}, pages = {888}, publisher = {WIT Press}, subjects = {sensitivity-analysis, earth-sciences}, title = {An overview of sensitivity analysis for atmospheric chemistry models via automatic differentiation}, url = {http://www.witpress.com/books/978-1-85312-422-8}, year = {1996}, bdsk-url-1 = {http://www.witpress.com/books/978-1-85312-422-8}} @article{Sandu_1997_sensitivity-CTM-AD, author = {G.R. Carmichael and A.~ Sandu and F.A. Potra and V. Damian-Iordache}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 21:49:18 -0400}, doi = {10.1016/S1352-2310(96)00168-9}, journal = {Atmospheric Environment}, number = {3}, pages = {475--489}, subjects = {earth-sciences, time-integration, sensitivity-analysis}, title = {Sensitivity analysis for atmospheric chemistry models via automatic differentiation}, url = {http://dx.doi.org/10.1016/S1352-2310(96)00168-9}, volume = {31}, year = {1997}, bdsk-url-1 = {http://dx.doi.org/10.1016/S1352-2310(96)00168-9}} @incollection{Sandu_1996_current-state-AQMa, author = {G.R. Carmichael and A. Sandu and F.A. Potra and V. Damian-Iordache and M. Damian-Iordache}, booktitle = {Systems Analysis Modelling Simulation - Special issue on environmental modelling and simulation}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 21:48:42 -0400}, journal = {Systems Analysis Modelling Simulation}, pages = {75--105}, publisher = {Gordon and Breach Science Publishers, Inc. Newark, NJ, USA}, subjects = {earth-sciences}, title = {The current state and the future directions in air quality modeling}, url = {http://dl.acm.org/citation.cfm?id=243416.243419}, volume = {25}, year = {1996}, bdsk-url-1 = {http://dl.acm.org/citation.cfm?id=243416.243419}} @inproceedings{Sandu_1999_aerosols-NATO, author = {G.R. Carmichael and A. Sandu and C.H. Song and S. He and M. Phadnis and D. Daescu and V. Damian-Iordache and F.A. Potra}, booktitle = {{NATO Advanced Study Institute on Computational Challenges in Air Pollution Modeling}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-02 21:57:58 -0400}, editor = {Z. Zlatev}, pages = {99--136}, subjects = {earth-sciences}, title = {Computational challenges of modeling interactions between aerosol and gas phase processes}, url = {http://www.springer.com/environment/pollution+and+remediation/book/978-0-7923-5678-3?wt_mc=GoogleBooks.GoogleBooks.3.EN&token=gbgen}, volume = {ISBN 978-94-011-4570-1}, year = {1999}, bdsk-url-1 = {http://www.springer.com/environment/pollution+and+remediation/book/978-0-7923-5678-3?wt_mc=GoogleBooks.GoogleBooks.3.EN&token=gbgen}} @article{Sandu_1999_challenges-Interactions, author = {G.R. Carmichael and A.~ Sandu and C.H. Song and S. He and M. Phadnis and D. Daescu and V. Damian-Iordache and F.A. Potra}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 21:50:34 -0400}, doi = {10.1108/09566169910276157}, journal = {Environmental Management and Health}, number = {4}, pages = {224-235}, subjects = {earth-sciences}, title = {Computational challenges of modeling interactions between aerosol and gas phase processes in large scale air pollution models}, url = {http://dx.doi.org/10.1108/09566169910276157}, volume = {10}, year = {1999}, bdsk-url-1 = {http://dx.doi.org/10.1108/09566169910276157}} @inproceedings{Sandu_2004_tracep_AMS, author = {T. Chai and G.R. Carmichael and D. Daescu and A. Sandu}, booktitle = {{Proceedings of the 84-th American Meteorological Society annual meeting}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:27:56 -0400}, location = {Seattle, Washington}, month = {January 11-15}, number = {8.4}, pages = {6}, series = {Session 8: Assimilation of observations (ocean, atmosphere, and land surface) into models}, subjects = {earth-sciences,inverse-problems}, title = {{Analysis of Trace-P observations using a 4D-Var data assimilation technique}}, url = {https://ams.confex.com/ams/84Annual/webprogram/Paper74110.html}, year = {2004}, bdsk-url-1 = {https://ams.confex.com/ams/84Annual/webprogram/Paper74110.html}} @article{Sandu_2006_TRACEP, author = {T. Chai and G.R. Carmichael and A. Sandu and Y. Tang and D.N. Daescu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:32:50 -0400}, doi = {10.1029/2005JD005883}, journal = {Journal of Geophysical Research}, number = {D02301}, subjects = {inverse-problems,earth-sciences}, title = {{Chemical data assimilation of Transport and Chemical Evolution over the Pacific (TRACE-P) aircraft measurements}}, url = {http://dx.doi.org/10.1029/2005JD005883}, volume = {111}, year = {2006}, bdsk-url-1 = {http://dx.doi.org/10.1029/2005JD005883}} @article{Sandu_2009_inverseEmissions, author = {T. Chai and G.R. Carmichael and Y. Tang and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 14:58:39 -0400}, doi = {10.1016/j.atmosenv.2009.06.052}, journal = {Atmospheric Environment}, number = {32}, pages = {5046-5055}, subjects = {inverse-problems,earth-sciences}, title = {{Regional $NO_X$ emission inversion through a four-dimensional variational approach using SCIAMACHY tropospheric $NO_2$ column observations}}, url = {http://dx.doi.org/doi:10.1016/j.atmosenv.2009.06.052}, volume = {43}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.atmosenv.2009.06.05}, bdsk-url-2 = {http://dx.doi.org/doi:10.1016/j.atmosenv.2009.06.052}, bdsk-url-3 = {http://dx.doi.org/10.1016/j.atmosenv.2009.06.052}} @article{Sandu_2007_ICARTT, author = {T. Chai and G.R. Carmichael and Y. Tang and A. Sandu and M. Hardesty and P. Pilewskie and S. Whitlow and E.V. Browell and M.A. Avery and V. Thouret and P. Nedelec and J.T. Merrill and and A.M. Thomson}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:23:28 -0400}, doi = {10.1029/2006JD007763}, journal = {Journal of Geophysical Research}, number = {D12S15}, subjects = {inverse-problems,earth-sciences}, title = {{Four dimensional data assimilation experiments with ICARTT (International Consortium for Atmospheric Transport and Transformation) ozone measurements}}, url = {http://dx.doi.org/10.1029/2006JD007763}, volume = {112}, year = {2007}, bdsk-url-1 = {http://dx.doi.org/10.1029/2006JD007763}} @article{Sandu_2010_hybridCovariance, author = {H. Cheng and M. Jardak and M. Alexe and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:27:05 -0400}, doi = {10.1111/j.1600-0870.2010.00442.x}, journal = {Tellus A}, number = {3}, pages = {288--297}, subjects = {uncertainty-quantification,statistical-computing}, title = {A hybrid approach to estimating error covariances in variational data assimilation}, url = {http://dx.doi.org/10.1111/j.1600-0870.2010.00442.x}, volume = {62A}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/10.1111/j.1600-0870.2010.00442.x}} @inproceedings{Sandu_2010_polychaosCollocation_HPC, author = {H. Cheng and A. Sandu}, booktitle = {{Proceedings of the 2010 Spring Simulation Multiconference (SpringSim'10), High Performance Computing Symposium (HPC-2010)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:33:51 -0400}, doi = {10.1145/1878537.1878621}, editor = {Robert M. McGraw and Eric S. Imsand and Michael J. Chinni}, location = {Orlando, Florida, USA}, organization = {{Society for Modeling and Simulation International (SCS)}}, pages = {80:1--6}, subjects = {uncertainty-quantification}, title = {Collocation least-squares polynomial chaos method}, url = {http://dx.doi.org/10.1145/1878537.1878621}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/10.1145/1878537.1878621}} @article{Sandu_2009_polychaosAQM, author = {H. Cheng and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 14:57:45 -0400}, doi = {10.1016/j.envsoft.2008.12.005}, journal = {Environmental Modeling and Software}, subjects = {uncertainty-quantification,earth-sciences}, title = {Uncertainty quantification and apportionment in air quality models using the polynomial chaos method}, url = {http://dx.doi.org/10.1016/j.envsoft.2008.12.005}, volume = {in print}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.envsoft.2008.12.005}} @article{Sandu_2009_polychaosStiff, author = {H. Cheng and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 14:57:12 -0400}, doi = {10.1016/j.matcom.2009.05.002}, journal = {Mathematics and Computers in Simulation}, number = {11}, pages = {3278--3295}, subjects = {uncertainty-quantification}, title = {Efficient uncertainty quantification with the polynomial chaos method for stiff systems}, url = {http://dx.doi.org/10.1016/j.matcom.2009.05.002}, volume = {79}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.matcom.2009.05.002}} @inproceedings{Sandu_2009_uncertaintyApportionment_SAC, author = {H. Cheng and A. Sandu}, booktitle = {Proceedings of the 2009 ACM symposium on Applied Computing (SAC'09)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 14:56:48 -0400}, doi = {10.1145/1529282.1529492}, location = {Honolulu, Hawaii}, numpages = {5}, organization = {ACM SIGPLAN}, pages = {956--960}, subjects = {uncertainty-quantification,earth-sciences}, title = {Uncertainty apportionment for air quality forecast models}, url = {http://dx.doi.org/10.1145/1529282.1529492}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/10.1145/1529282.1529492}} @inproceedings{Sandu_2007_uncertaintyStiff_ACMSE, address = {New York, NY, USA}, author = {H. Cheng and A. Sandu}, booktitle = {Proceedings of the 45th annual southeast regional conference}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:29:44 -0400}, doi = {10.1145/1233341.1233408}, location = {Winston-Salem, North Carolina}, numpages = {6}, pages = {367--372}, publisher = {ACM}, series = {ACM-SE 45}, subjects = {uncertainty-quantification}, title = {Numerical study of uncertainty quantification techniques for implicit stiff systems}, url = {http://doi.acm.org/10.1145/1233341.1233408}, year = {2007}, bdsk-url-1 = {http://doi.acm.org/10.1145/1233341.1233408}} @article{Sandu_2012_optimizationSOA, author = {A. Cioaca and M. Alexe and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:15:41 -0400}, doi = {10.1080/10556788.2011.610455}, journal = {Optimization Methods and Software}, number = {4--5}, pages = {625--653}, subjects = {inverse-problems,sensitivity-analysis,optimization}, title = {Second order adjoints for solving {PDE}-constrained optimization problems}, url = {http://dx.doi.org/10.1080/10556788.2011.610455}, volume = {27}, year = {2012}, bdsk-url-1 = {http://dx.doi.org/10.1080/10556788.2011.610455}} @article{Sandu_2014_observations_lowRank, author = {Cioaca, Alexandru and Sandu, Adrian}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:35:30 -0400}, doi = {10.1016/j.camwa.2014.01.024}, journal = {Computers and Mathematics with Applications}, keywords = {Variational data assimilation; Sensitivity analysis; Observation impact; Matrix-free solvers; Preconditioners}, number = {12}, pages = {2112--2126}, subjects = {sensitivity-analysis,inverse-problems}, title = {Low-rank approximations for observation impact in {4D-Var} data assimilation}, url = {http://www.sciencedirect.com/science/article/pii/S0898122114000650}, volume = {67}, year = {2014}, bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0898122114000650}} @article{Sandu_2014_fdvar_system_optimization, author = {A. Cioaca and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:35:03 -0400}, doi = {10.1016/j.jcp.2014.07.005}, journal = {Journal of Computational Physics}, keywords = {Data assimilation; Sensitivity analysis; Optimal sensor design; Adaptive observations}, pages = {377--389}, subjects = {inverse-problems,optimization}, title = {An optimization framework to improve {4D-Var} data assimilation system performance}, url = {http://dx.doi.org/10.1016/j.jcp.2014.07.005}, volume = {275}, year = {2014}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.jcp.2014.07.005}} @article{Sandu_2013_observationImpact, author = {A. Cioaca and A. Sandu and E. de Sturler}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:20:10 -0400}, doi = {10.1007/s10596-013-9370-2}, issn = {1420-0597}, journal = {Computational Geosciences}, keywords = {Variational data assimilation; Sensitivity analysis; Observation impact; Matrix-free solvers; Preconditioners}, language = {English}, number = {6}, pages = {975-990}, publisher = {Springer Netherlands}, subjects = {inverse-problems,sensitivity-analysis}, title = {Efficient methods for computing observation impact in {4D-Var} data assimilation}, url = {http://dx.doi.org/10.1007/s10596-013-9370-2}, volume = {17}, year = {2013}, bdsk-url-1 = {http://dx.doi.org/10.1007/s10596-013-9370-2}} @conference{Sandu_2012_observationImpact_IFIP, author = {A. Cioaca and A. Sandu and E. de Sturler and E.M. Constantinescu}, booktitle = {Uncertainty Quantification in Scientific Computing}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:20:49 -0400}, doi = {10.1007/978-3-642-32677-6_16}, editor = {Dienstfrey, Andrew and Boisvert, Ronald}, organization = {10th IFIP WG 2.5 Working Conference, WoCoUQ 2011, Boulder, Colorado}, publisher = {Springer}, subjects = {inverse-problems, sensitivity-analysis,optimization}, title = {Efficient computation of observation impact in {4D-Var} data assimilation}, url = {http://www.springer.com/computer/theoretical+computer+science/book/978-3-642-32676-9}, year = {2012}, bdsk-url-1 = {http://www.springer.com/computer/theoretical+computer+science/book/978-3-642-32676-9}} @inproceedings{Sandu_2005_meshRefinement_HPC, author = {E.M. Constantinescu and W. Liao and A. Sandu}, booktitle = {High Performance Computing Symposium (HPC 2005)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:37:45 -0400}, editor = {M. Parashar and L. Watson}, organization = {High Performance Computing Symposium}, pages = {158--163}, publisher = {SCS Press}, subjects = {earth-sciences}, title = {Mesh refinement strategies in air quality modeling}, volume = {37}, year = {2005}} @inproceedings{Sandu_2009_monotonicGLM_ICCS, author = {E.M. Constantinescu and A. Sandu}, booktitle = {{International Conference on Computational Science (ICCS-2009)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 14:56:08 -0400}, doi = {10.1007/978-3-642-01973-9_33}, editor = {G. Allen and J. Nabrzyski and E. Seidel and G.D. van Albada and J. Dongarra and P.M.A. Sloot}, location = {Baton Rouge, LA, USA}, organization = {International Conference on Computational Science}, pages = {293--301}, subjects = {time-integration}, title = {Explicit time stepping methods with high stage order and monotonicity properties}, url = {http://dx.doi.org/10.1007/978-3-642-01973-9_33}, volume = {5545}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/10.1007/978-3-642-01973-9_33}} @incollection{Sandu_2010_MR-extrapolation_ECMI, author = {E.M. Constantinescu and A. Sandu}, booktitle = {Progress in Industrial Mathematics at ECMI 2008}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:57:08 -0400}, doi = {10.1007/978-3-642-12110-4_52}, editor = {Bock, Hans-Georg and Hoog, Frank and Friedman, Avner and Gupta, Arvind and Neunzert, Helmut and Pulleyblank, William R. and Rusten, Torgeir and Santosa, Fadil and Tornberg, Anna-Karin and Capasso, Vincenzo and Mattheij, Robert and Neunzert, Helmut and Scherzer, Otmar and Fitt, Alistair D. and Norbury, John and Ockendon, Hilary and Wilson, Eddie}, pages = {341-347}, publisher = {Springer Berlin Heidelberg}, series = {Mathematics in Industry}, subjects = {time-integration}, title = {On extrapolated multirate methods}, url = {http://dx.doi.org/10.1007/978-3-642-12110-4_52}, volume = {15}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/10.1007/978-3-642-12110-4_52}} @article{Sandu_2013_MR-extrapolation, author = {E.M. Constantinescu and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:56:52 -0400}, doi = {10.1007/s10915-012-9662-z}, journal = {Journal of Scientific Computing}, number = {1}, pages = {28-44}, subjects = {time-integration,multimethods}, title = {Extrapolated multirate methods for differential equations with multiple time scales}, url = {http://dx.doi.org/10.1007/s10915-012-9662-z}, volume = {56}, year = {2013}, bdsk-url-1 = {http://dx.doi.org/10.1007/s10915-012-9662-z}} @article{Sandu_2010_extrapolatedIMEX, author = {E.M. Constantinescu and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:32:51 -0400}, doi = {10.1137/080732833}, journal = {SIAM Journal on Scientific Computing}, number = {6}, pages = {4452--4477}, subjects = {time-integration}, title = {Extrapolated implicit-explicit time stepping}, volume = {31}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/10.1137/080732833}} @article{Sandu_2010_SSP-GLM, author = {E.M. Constantinescu and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:32:33 -0400}, doi = {10.1137/090766206}, journal = {SIAM Journal on Scientific Computing}, number = {5}, pages = {3130--3150}, subjects = {time-integration}, title = {Optimal explicit strong stability preserving general linear methods}, url = {http://dx.doi.org/10.1137/090766206}, volume = {32}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/doi:10.1137/090766206}} @article{Sandu_2007_MR-monotonic-RK2, author = {E.M. Constantinescu and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:58:43 -0400}, doi = {10.1007/s10915-007-9151-y}, journal = {Journal on Scientific Computing}, number = {3}, pages = {239--278}, subjects = {time-integration,multimethods}, title = {Multirate timestepping methods for hyperbolic conservation laws}, url = {http://dx.doi.org/10.1007/s10915-007-9151-y}, volume = {33}, year = {2007}, bdsk-url-1 = {http://dx.doi.org/10.1007/s10915-007-9151-y}} @inproceedings{Sandu_2005_AMR_ICCS, author = {E.M. Constantinescu and A. Sandu}, booktitle = {Lecture Notes in Computer Science}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:40:28 -0400}, doi = {10.1007/11428848_102}, organization = {International Conference on Computational Science}, pages = {798--806}, subjects = {earth-sciences}, title = {{On adaptive mesh refinement for atmospheric pollution models}}, url = {http://dx.doi.org/10.1007/11428848_102}, volume = {3515}, year = {2005}, bdsk-url-1 = {http://dx.doi.org/10.1007/11428848_102}} @article{Sandu_2008_AMR-AQM, author = {E.M. Constantinescu and A. Sandu and G.R. Carmichael}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:10:23 -0400}, doi = {10.1007/s10596-007-9065-7}, journal = {Computational Geosciences}, number = {2}, pages = {133--151}, subjects = {software,earth-sciences}, title = {Modeling atmospheric chemistry and transport with dynamic adaptive resolution}, url = {http://dx.doi.org/10.1007/s10596-007-9065-7}, volume = {12}, year = {2008}, bdsk-url-1 = {http://dx.doi.org/10.1007/s10596-007-9065-7}} @article{Sandu_2007_ARMA, author = {E.M. Constantinescu and A. Sandu and T. Chai and G.R. Carmichael}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:29:15 -0400}, doi = {10.1029/2006JD008103}, journal = {Journal of Geophysical Research}, number = {D12309}, subjects = {uncertainty-quantification,statistical-computing}, title = {Autoregressive models of background errors for chemical data assimilation}, url = {http://dx.doi.org/10.1029/2006JD008103}, volume = {112}, year = {2007}, bdsk-url-1 = {http://dx.doi.org/10.1029/2006JD008103}} @article{Sandu_2007_EnKF-localization, author = {E.M. Constantinescu and A. Sandu and T. Chai and G.R. Carmichael}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 22:18:22 -0400}, doi = {10.1002/qj.77}, issn = {0035-9009}, journal = {Quarterly Journal of the Royal Meteorological Society}, month = {July}, number = {626}, pages = {1245--1256}, subjects = {inverse-problems,statistical-computing}, title = {{Ensemble-based chemical data assimilation. II: Covariance localization}}, url = {http://dx.doi.org/10.1002/qj.77}, volume = {133}, year = {2007}, bdsk-url-1 = {http://dx.doi.org/10.1002/qj.77}} @article{Sandu_2007_EnKF-general, author = {E.M. Constantinescu and A. Sandu and T. Chai and G.R. Carmichael}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 22:18:35 -0400}, doi = {10.1002/qj.76}, issn = {0035-9009}, journal = {Quarterly Journal of the Royal Meteorological Society}, month = {July}, number = {626}, pages = {1229--1243}, subjects = {inverse-problems,statistical-computing}, title = {{Ensemble-based chemical data assimilation. I: General approach}}, url = {http://dx.doi.org/10.1002/qj.76}, volume = {133}, year = {2007}, bdsk-url-1 = {http://dx.doi.org/10.1002/qj.76}} @article{Sandu_2007_EnKF-idealized, author = {E.M. Constantinescu and A. Sandu and T. Chai and G.R. Carmichael}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:31:01 -0400}, doi = {10.1016/j.atmosenv.2006.08.006}, journal = {Atmospheric Environment}, number = {1}, pages = {18-36}, subjects = {inverse-problems,statistical-computing,earth-sciences}, title = {Assessment of ensemble-based chemical data assimilation in an idealized setting}, url = {http://dx.doi.org/10.1016/j.atmosenv.2006.08.006}, volume = {41}, year = {2007}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.atmosenv.2006.08.006}} @incollection{Sandu_2000_RosAdjoint_book, author = {D. Daescu and G.R. Carmichael and A. Sandu}, booktitle = {Air Pollution Modeling and its Application XIV}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-02 22:01:55 -0400}, doi = {10.1007/0-306-47460-3_36}, editor = {S.E. Gryning and F.A. Schiermeier}, pages = {361--369}, publisher = {Springer}, subjects = {time-integration, inverse-problems, sensitivity-analysis}, title = {Adjoint implementation of {Rosenbrock} methods applied to variational data assimilation}, url = {http://dx.doi.org/10.1007/0-306-47460-3_36}, year = {2000}, bdsk-url-1 = {http://dx.doi.org/10.1007/0-306-47460-3_36}} @article{Sandu_2000_RosAdjoint, author = {D. Daescu and G.R. Carmichael and A.~ Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 21:50:59 -0400}, doi = {10.1006/jcph.2000.6622}, journal = {Journal of Computational Physics}, pages = {496--510}, subjects = {time-integration, inverse-problems, sensitivity-analysis, optimization}, title = {Adjoint implementation of {Rosenbrock} methods applied to variational data assimilation problems}, url = {http://dx.doi.org/10.1006/jcph.2000.6622}, volume = {165}, year = {2000}, bdsk-url-1 = {http://dx.doi.org/10.1006/jcph.2000.6622}} @article{Sandu_2014_sensitivity_ODE_multibody, author = {D. Dopico and A. Sandu and Y. Zhu and C. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:34:18 -0400}, doi = {10.1115/1.4026492}, journal = {Journal of Computational and Nonlinear Dynamics}, number = {1}, pages = {011012 (7 pages)}, subjects = {sensitivity-analysis,computational-engineering}, title = {Direct and adjoint sensitivity analysis of {ODE} multibody formulations}, url = {http://dx.doi.org/10.1115/1.4026492}, volume = {10}, year = {2014}, bdsk-url-1 = {http://dx.doi.org/doi:10.1115/1.4026492}} @inproceedings{Sandu_2010_GeosChemSolvers_HPC, author = {P. Eller and K. Singh and A. Sandu}, booktitle = {{Proceedings of the 2010 Spring Simulation Multiconference (SpringSim'10), High Performance Computing Symposium (HPC-2010)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:44:49 -0400}, editor = {Robert M. McGraw and Eric S. Imsand and Michael J. Chinni}, location = {Orlando, Florida, USA}, organization = {{Society for Modeling and Simulation International (SCS)}}, pages = {90:1--8}, subjects = {time-integration,earth-sciences}, title = {Testing chemical solvers in {GEOS-Chem}}, year = {2010}} @conference{Sandu_2010_accelerateCTM_HPC, author = {P. Eller and K. Singh and A. Sandu}, booktitle = {Proceedings of the 2010 Spring Simulation Multiconference (SpringSim'10), High Performance Computing Symposium (HPC-2010)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:44:10 -0400}, doi = {10.1145/1878537.1878631}, subjects = {high-performance-computing,earth-sciences}, title = {Development and acceleration of parallel chemical transport models}, url = {http://dx.doi.org/10.1145/1878537.1878631}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/10.1145/1878537.1878631}} @article{Sandu_2009_KPP_GeosChem, author = {P. Eller and K. Singh and A. Sandu and K. Bowman and D.K. Henze and M. Lee}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 14:55:28 -0400}, doi = {10.5194/gmd-2-89-2009}, journal = {Geophysical Model Development}, pages = {1--7}, subjects = {software,time-integration}, title = {Implementation and evaluation of an array of chemical solvers in a global chemical transport model}, url = {http://www.geosci-model-dev.net/2/89/2009}, volume = {2}, year = {2009}, bdsk-url-1 = {http://www.geosci-model-dev-discuss.net/2/185/2009/gmdd-2-185-2009.html}} @article{Sandu_2011_advectionCMAQ, author = {T.Y. Gou and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:52:04 -0400}, doi = {10.1016/j.atmosenv.2011.06.015}, journal = {Atmospheric Environment}, number = {28}, pages = {4868--4881}, subjects = {sensitivity-analysis,earth-sciences}, title = {Continuous versus discrete advection adjoints in chemical data assimilation with CMAQ}, url = {http://dx.doi.org/10.1016/j.atmosenv.2011.06.015}, volume = {45}, year = {2011}, bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S135223101100608X}} @inproceedings{Sandu_2009_DA_CMAQ_ICCS, author = {T.Y. Gou and K. Singh and A. Sandu}, booktitle = {Lecture Notes on Computational Science}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 14:54:38 -0400}, doi = {10.1007/978-3-642-01973-9_35}, editor = {G. Allen and J. Nabrzyski and E. Seidel and G.D. van Albada and J. Dongarra and P.M.A. Sloot}, location = {Baton Rouge, LA, USA}, organization = {International Conference on Computational Science}, pages = {312--321}, subjects = {inverse-problems,sensitivity-analysis}, title = {Chemical data assimilation with {CMAQ}: continuous vs. discrete advection adjoints}, url = {http://dx.doi.org/10.1007/978-3-642-01973-9_35}, volume = {5545}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/10.1007/978-3-642-01973-9_35}} @article{Sandu_2016_MR-GARK, author = {M. G\"{u}nther and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:57:34 -0400}, doi = {10.1007/s00211-015-0756-z}, journal = {Numerische Mathematik}, number = {3}, pages = {497-524}, subjects = {time-integration,multimethods}, title = {Multirate generalized additive {Runge-Kutta} methods}, url = {http://dx.doi.org/10.1007/s00211-015-0756-z}, volume = {133}, year = {2016}, bdsk-url-1 = {http://arxiv.org/abs/1310.6055}} @article{Sandu_2005_inverseBC, author = {A. Hakami and D.K. Henze and J.H. Seinfeld and T. Chai and Y. Tang and G.R. Carmichael and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:38:42 -0400}, doi = {10.1029/2004JD005671}, journal = {Journal of Geophysical Research}, number = {D14}, subjects = {sensitivity-analysis,earth-sciences}, title = {{Adjoint inverse modeling of black carbon during the Asian Pacific regional aerosol characterization experiment}}, url = {http://dx.doi.org/10.1029/2004JD005671}, volume = {110}, year = {2005}, bdsk-url-1 = {http://dx.doi.org/10.1029/2004JD005671}} @article{Sandu_2007_adjointCMAQ, author = {A. Hakami and D.K. Henze and J.H. Seinfeld and K. Singh and A. Sandu and S. Kim and D. Byun and Q. Li}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:28:02 -0400}, doi = {10.1021/es070944p}, journal = {Environmental Science and Technology}, number = {22}, pages = {7807--7817}, subjects = {sensitivity-analysis,software,earth-sciences}, title = {The adjoint of {CMAQ}}, url = {http://dx.doi.org/10.1021/es070944p}, volume = {41}, year = {2007}, bdsk-url-1 = {http://dx.doi.org/10.1021/es070944p}} @article{Sandu_2006_nonAttainment, author = {A. Hakami and J.H. Seinfeld and T. Chai and Y. Tang and G.R. Carmichael and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:34:06 -0400}, doi = {10.1021/es052135g}, journal = {Environmental Science and Technology}, subjects = {sensitivity-analysis,earth-sciences}, title = {{Adjoint sensitivity analysis of ozone nonattainment over the continental United States}}, url = {http://dx.doi.org/10.1021/es052135g}, year = {2006}, bdsk-url-1 = {http://dx.doi.org/10.1021/es052135g}} @inproceedings{Sandu_2010_optRobot_IDETC, author = {J. Hays and D. Hong and C. Sandu and A. Sandu}, booktitle = {ASME 2010 IDETC, 34th Annual Mechanisms and Robotics Conference (MR)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:43:43 -0400}, doi = {10.1115/detc2010-28134}, location = {Montreal, Quebec, CA}, number = {DETC2010-28134}, pages = {9}, subjects = {optimization,computational-engineering}, title = {Design optimization for minimizing actuation energy of a dynamic tripedal walking robot-revisiting the double pendulum}, url = {http://dx.doi.org/10.1115/detc2010-28134}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/10.1115/detc2010-28134}} @inproceedings{Sandu_2011_planningForward_ASME, author = {J. Hays and A. Sandu and C. Sandu}, booktitle = {ASME IDETC/CIE Conference}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:51:34 -0400}, doi = {10.1115/detc2011-48233}, location = {Washington, DC, USA}, note = {submitted}, subjects = {uncertainty-quantification,optimization,computational-engineering}, title = {Motion planning of uncertain fully-actuated dynamical systems-- {A} forward dynamics formulation}, url = {http://dx.doi.org/10.1115/detc2011-48233}, year = {2011}, bdsk-url-1 = {http://dx.doi.org/10.1115/detc2011-48233}} @inproceedings{Sandu_2011_planningInverse_ASME, author = {J. Hays and A. Sandu and C. Sandu}, booktitle = {ASME IDETC/CIE Conference}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:50:38 -0400}, doi = {10.1115/detc2011-48229}, location = {Washington, DC, USA}, subjects = {uncertainty-quantification,optimization,computational-engineering}, title = {Motion planning of uncertain fully-actuated dynamical systems-- {An} inverse dynamics formulation}, url = {http://dx.doi.org/10.1115/detc2011-48229}, year = {2011}, bdsk-url-1 = {http://dx.doi.org/10.1115/detc2011-48229}} @article{Sandu_2014_uncertainOptimization, author = {J. Hays and A. Sandu and C. Sandu and D. Hong}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:33:57 -0400}, doi = {ISSN 2278 – 0149}, journal = {International Journal of Mechanical Engineering and Robotics Research}, month = {January}, number = {1}, pages = {216--240}, subjects = {inverse-problems,computational-engineering,optimization}, title = {Simultaneous optimal uncertainty apportionment and robust design optimization of systems governed by ordinary differential equations}, url = {http://www.ijmerr.com/v3n1/ijmerr_v3n1_25.pdf}, volume = {3}, year = {2014}, bdsk-url-1 = {http://ijmerr.com/ijmerradmin/upload/ijmerr_52d576378b32c.pdf}} @article{Sandu_2012_parametricDesign-ODE, author = {J. Hays and A. Sandu and C. Sandu and D. Hong}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:15:17 -0400}, doi = {10.1115/1.4006950}, journal = {ASME Journal of Mechanical Design}, number = {8}, pages = {081003 (14 pages)}, subjects = {optimization,computational-engineering,uncertainty-quantification}, title = {Parametric design optimization of uncertain ordinary differential equation systems}, url = {http://dx.doi.org/10.1115/1.4006950}, volume = {134}, year = {2012}, bdsk-url-1 = {http://dx.doi.org/10.1115/1.4006950}} @inproceedings{Sandu_2011_planningHybrid_ASME, author = {J. Hays and A. Sandu and C. Sandu and D. Hong}, booktitle = {Proceedings of the ASME 2011 International Mechanical Engieneering Congress \& Exposition}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:49:31 -0400}, doi = {10.1115/imece2011-62694}, location = {Denver, CO, USA}, subjects = {uncertainty-quantification,optimization,computational-engineering}, title = {Motion planning of uncertain under-actuated dynamical systems--{A} hybrid dynamics formulation}, url = {http://dx.doi.org/10.1115/imece2011-62694}, year = {2011}, bdsk-url-1 = {http://dx.doi.org/10.1115/imece2011-62694}} @article{Sandu_2011_planningUncertainODEs, author = {J. Hays and A. Sandu and C. Sandu and D. Hong}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:48:17 -0400}, doi = {10.1115/1.4026994}, journal = {ASME Journal of Computational and Nonlinear Dynamics}, subjects = {uncertainty-quantification,optimization,computational-engineering}, title = {Motion planning of uncertain ordinary differential equation systems}, url = {http://dx.doi.org/10.1115/1.4026994}, volume = {9}, year = {2011}, bdsk-url-1 = {http://dx.doi.org/doi:10.1115/1.4026994}} @article{Sandu_2000_ADIFOR, author = {S.~He and G.R.~ Carmichael and A.~ Sandu, B.~ Hotchkiss and V.~ Damian-Iordache}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 21:51:11 -0400}, doi = {10.1016/S1364-8152(00)00052-9}, journal = {Environmental Modeling and Software}, pages = {549--557}, subjects = {earth-sciences, sensitivity-analysis}, title = {Application of {ADIFOR} for air pollution model sensitivity studies}, url = {http://dx.doi.org/10.1016/S1364-8152(00)00052-9}, volume = {15}, year = {2000}, bdsk-url-1 = {http://dx.doi.org/10.1016/S1364-8152(00)00052-9}} @article{Sandu_2004_inverseCondensation, author = {D.K. Henze and J.H. Seinfeld and W. Liao and A. Sandu and G.R. Carmichael}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:27:33 -0400}, doi = {10.1029/2004JD004593}, journal = {Journal of Geophysical Research}, number = {D14}, subjects = {inverse-problems,earth-sciences}, title = {Inverse modeling of aerosol dynamics: condensational growth}, url = {http://dx.doi.org/10.1029/2004JD004593}, volume = {109}, year = {2004}, bdsk-url-1 = {http://dx.doi.org/10.1029/2004JD004593}} @inproceedings{Sandu_1996_ICIAM-efficient, author = {L.O. Jay and A. Sandu and F.A. Potra and G.R. Carmichael}, booktitle = {{Third international congress on industrial and applied mathematics (ICIAM-1995)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 21:47:44 -0400}, editor = {E. Kreuzer and O. Mahrenholtz}, location = {Hamburg, Germany}, note = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.7.5487}, number = {4}, pages = {450--453}, series = {Special issue of ZAMM: Applied sciences}, subjects = {earth-sciences, time-integration}, title = {Efficient numerical integration for atmospheric chemistry}, url = {http://www.amazon.com/Hamburg-Zeitschrift-Angewandte-Mathematik-Mechanik/dp/3527401466}, year = {1996}, bdsk-url-1 = {http://www.amazon.com/Hamburg-Zeitschrift-Angewandte-Mathematik-Mechanik/dp/3527401466}} @article{Sandu_1997_QSSA, author = {L.O. Jay and A. Sandu and F.A. Potra and G.R. Carmichael}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 21:49:33 -0400}, doi = {10.1137/S1064827595283033}, journal = {SIAM Journal on Scientific Computing}, number = {1}, pages = {182--202}, subjects = {earth-sciences, time-integration}, title = {Improved {QSSA} methods for atmospheric chemistry integration}, url = {http://dx.doi.org/10.1137/S1064827595283033}, volume = {18}, year = {1997}, bdsk-url-1 = {http://dx.doi.org/10.1137/S1064827595283033}} @inproceedings{Sandu_2008_SOX_ECMI, author = {M. Lee and R. Weidner and K. Bowman and A. Sandu and K. Singh}, booktitle = {{IEEE ECMI 2008}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:13:31 -0400}, location = {London}, month = {September}, subjects = {inverse-problems,earth-sciences}, title = {Sensor-web operations explorer {(SOX)} for integrated air quality campaign}, url = {http://esto.nasa.gov/conferences/estc2008/papers/Lee_Meemong_A9P1.pdf}, year = {2008}, bdsk-url-1 = {http://esto.nasa.gov/conferences/estc2008/papers/Lee_Meemong_A9P1.pdf}} @inproceedings{Sandu_2010_pararealAdaptive_HPC, author = {B. Lepsa and A. Sandu}, booktitle = {{Proceedings of the 2010 Spring Simulation Multiconference (SpringSim'10), High Performance Computing Symposium (HPC-2010)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:43:18 -0400}, doi = {10.1145/1878537.1878628}, editor = {Robert M. McGraw and Eric S. Imsand and Michael J. Chinni}, location = {Orlando, Florida, USA}, organization = {{Society for Modeling and Simulation International (SCS)}}, pages = {87:1--7}, subjects = {time-integration,high-performance-computing}, title = {{An efficient error control mechanism for the adaptive 'parareal' time discretization algorithm}}, url = {http://dx.doi.org/10.1145/1878537.1878628}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/10.1145/1878537.1878628}} @inbook{Sandu_2005_TESV_ICCS, author = {W. Liao and A. Sandu}, booktitle = {Computational Science -- ICCS 2005: 5th International Conference, Atlanta, GA, USA, May 22-25, 2005. Proceedings, Part II}, chapter = {ISBN 978-3-540-32114-9}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:36:56 -0400}, doi = {10.1007/11428848_103}, editor = {Vaidy S. Sunderam and Geert Dick van Albada and Peter M. A. Sloot and Jack J. Dongarra}, pages = {806--813}, publisher = {Springer Berlin Heidelberg}, subjects = {sensitivity-analysis,earth-sciences}, title = {Total energy singular vector analysis for atmospheric chemical transport models}, url = {http://dx.doi.org/10.1007/11428848_103}, volume = {International Conference for Computational Science (ICCS-2005)}, year = {2005}, bdsk-url-1 = {%7Bhttp://link.springer.com/chapter/10.1007/11428848_103%7D}, bdsk-url-2 = {http://link.springer.com/chapter/10.1007/11428848_103}} @article{Sandu_2006_TESV, author = {W. Liao and A. Sandu and T. Chai and G.R. Carmichael}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:33:15 -0400}, doi = {10.1175/MWR3158.1}, journal = {Monthly Weather Review}, number = {9}, pages = {2443--2465}, subjects = {inverse-problems,sensitivity-analysis,earth-sciences}, title = {Total energy singular vector analysis for atmospheric chemical transport models}, url = {http://dx.doi.org/10.1175/MWR3158.1}, volume = {134}, year = {2006}, bdsk-url-1 = {http://journals.ametsoc.org/doi/abs/10.1175/MWR3158.1}} @conference{Sandu_2005_uncertainVehicle, author = {L. Lin and C. Sandu and A. Sandu}, booktitle = {Proceedings of the 2005 ASME International Mechanical Engineering Congress and Exposition, 7th Vehicle Dynamics and Controls Annual Symposium on Advanced Vehicle Technologies, Session 4: Advances in Vehicle Systems Modeling and Simulation}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:36:22 -0400}, doi = {10.1115/imece2005-82101}, subjects = {uncertainty-quantification,computational-engineering}, title = {Modeling and simulation of a full vehicle with parametric and external uncertainties}, url = {http://dx.doi.org/10.1115/imece2005-82101}, year = {2005}, bdsk-url-1 = {http://dx.doi.org/10.1115/imece2005-82101}} @article{Sandu_2011_multicoreChemKinetics, author = {J.C. Linford and J. Michalakes and M. Vaccharajani and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:47:22 -0400}, doi = {10.1109/TPDS.2010.106}, journal = {IEEE Transactions on Parallel and Distributed Systems}, number = {1}, pages = {119--131}, subjects = {high-performance-computing,software,earth-sciences}, title = {Automatic generation of multi-core chemical kernels}, url = {http://dx.doi.org/10.1109/TPDS.2010.106}, volume = {22}, year = {2011}, bdsk-url-1 = {http://dx.doi.org/10.1109/TPDS.2010.106}} @inproceedings{Sandu_2009_multicoreChemistry_SC, author = {J.C. Linford and J. Michalakes and M. Vachharajani and A. Sandu}, booktitle = {Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis (SC'09)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 14:53:49 -0400}, doi = {10.1145/1654059.1654067}, location = {Portland, Oregon, USA}, pages = {7:1--7:11}, subjects = {high-performance-computing}, title = {Multi-core acceleration of chemical kinetics for simulation and prediction}, url = {http://doi.acm.org/10.1145/1654059.1654067}, year = {2009}, bdsk-url-1 = {http://doi.acm.org/10.1145/1654059.1654067}} @article{Sandu_2010_scalableParallelism, author = {J. Linford and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:42:49 -0400}, doi = {10.1007/s11227-010-0380-8}, journal = {The Journal of Supercomputing}, pages = {1--28}, subjects = {high-performance-computing,earth-sciences}, title = {Scalable heterogeneous parallelism for atmospheric modeling and simulation}, url = {http://dx.doi.org/10.1007/s11227-010-0380-8}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/10.1007/s11227-010-0380-8}} @inproceedings{Sandu_2009_heterogeneousParallelism_SAC, author = {J.C. Linford and A. Sandu}, booktitle = {Proceedings of the 2009 ACM symposium on Applied Computing (SAC'09)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 14:52:36 -0400}, doi = {10.1145/1529282.1529496}, location = {Honolulu, Hawaii}, numpages = {5}, organization = {ACM SIGPLAN}, pages = {976--980}, subjects = {high-performance-computing}, title = {Vector stream processing for effective application of heterogeneous parallelism}, url = {http://dx.doi.org/10.1145/1529282.1529496}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/10.1145/1529282.1529496}} @inproceedings{Sandu_2008_multicoreAQM_HPC, author = {J.C. Linford and A. Sandu}, booktitle = {Proceedings of the 2010 Spring Simulation Multiconference (SpringSim'10), High Performance Computing Symposium (HPC-2010)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:09:43 -0400}, location = {Ottawa, Canada}, numpages = {8}, organization = {Society for Modeling and Simulation International (SCS)}, pages = {369--376}, publisher = {Springer-Verlag Heidelberg, Dordrecht, London, New York}, series = {Progress in Industrial Mathematics at ECMI 2008}, subjects = {high-performance-computing}, title = {Optimizing large scale chemical transport models for multicore platforms}, url = {http://dl.acm.org/citation.cfm?id=1400549.1400605}, year = {2008}, bdsk-url-1 = {http://dl.acm.org/citation.cfm?id=1400549.1400605}} @article{Sandu_2008_advectionAdjoint, author = {Z. Liu and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:08:54 -0400}, doi = {10.1002/fld.1547}, journal = {International Journal for Numerical Methods in Fluids}, number = {7}, pages = {769--803}, subjects = {sensitivity-analysis,computational-engineering}, title = {On the properties of discrete adjoints of numerical methods for the advection equation}, url = {http://dx.doi.org/10.1002/fld.1547}, volume = {56}, year = {2008}, bdsk-url-1 = {http://dx.doi.org/10.1002/fld.1547}} @conference{Sandu_2005_dadjUpwind, author = {Z. Liu and A. Sandu}, booktitle = {Springer Lecture Notes in Computer Science (LNCS)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:41:14 -0400}, doi = {10.1007/11428848_106}, subjects = {sensitivity-analysis}, title = {Analysis of discrete adjoints for upwind numerical schemes}, url = {http://dx.doi.org/10.1007/11428848_106}, volume = {International Conference for Computational Science (ICCS-2005)}, year = {2005}, bdsk-url-1 = {http://dx.doi.org/10.1007/11428848_106}} @inproceedings{Sandu_2006_KPP22_ICCS, author = {P. Miehe and A. Sandu}, booktitle = {{International Conference on Computational Science (ICCS 2006)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:34:58 -0400}, doi = {10.1007/11758532_18}, editor = {V. Alexandrov et al.}, location = {Reading, U.K.}, pages = {120--127}, series = {Lecture Notes in Computer Science}, subjects = {software,sensitivity-analysis,time-integration}, title = {{Forward, tangent linear, and adjoint Runge Kutta methods in KPP-2.2}}, url = {http://dx.doi.org/10.1007/11758532_18}, volume = {3993}, year = {2006}, bdsk-url-1 = {http://dx.doi.org/10.1007/11758532_18}} @inproceedings{Sandu_2012_WRF-parareal, author = {V. Rao and A. Cioaca and A. Sandu}, booktitle = {{High Performance Computing, Networking, Storage and Analysis (SCC), 2012 SC Companion:}}, date-modified = {2021-04-11 10:43:05 -0400}, doi = {10.1109/SC.Companion.2012.85}, keywords = {Adjoints;Parallel time integration;Parareal;Sensitivity analysis}, month = {Nov}, pages = {609-616}, subjects = {earth-sciences,high-performance-computing}, title = {A highly scalable approach for time parallelization of long range forecasts}, url = {http://dx.doi.org/10.1109/SC.Companion.2012.85}, year = {2012}, bdsk-url-1 = {http://dx.doi.org/10.1109/SC.Companion.2012.85}} @article{Sandu_2014_adjoint-parareal, author = {V. Rao and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:31:48 -0400}, doi = {10.1016/j.jocs.2013.03.004}, issn = {1877-7503}, journal = {Journal of Computational Science}, keywords = {Sensitivity analysis}, note = {Empowering Science through Computing + BioInspired Computing}, number = {2}, pages = {76 - 84}, subjects = {time-integration,sensitivity-analysis,optimization}, title = {An adjoint-based scalable algorithm for time-parallel integration}, url = {http://www.sciencedirect.com/science/article/pii/S1877750313000380}, volume = {5}, year = {2014}, bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S1877750313000380}, bdsk-url-2 = {http://dx.doi.org/10.1016/j.jocs.2013.03.004}} @inproceedings{Sandu_2014_fdvar_error_ICCS, author = {V. Rao and A. Sandu}, booktitle = {{International Conference on Computational Science (ICCS-2014)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:31:29 -0400}, doi = {10.1016/j.procs.2014.05.113}, editor = {David Abramson and Michael Lees and Valeria Krzhizhanovskaya and Jack Dongarra and Peter M.A. Sloot}, pages = {1256--1265}, subjects = {inverse-problems,sensitivity-analysis,optimization}, title = {A posteriori error estimates for {DDDAS} inference problems}, url = {http://dx.doi.org/10.1016/j.procs.2014.05.113}, volume = {29}, year = {2014}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.procs.2014.05.113}} @article{Sandu_2014_EnKF_SMF, author = {E.D. Nino Ruiz and A. Sandu and J.L. Anderson}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:30:53 -0400}, doi = {10.1007/s11222-014-9454-4}, issn = {0960-3174}, journal = {Statistics and Computing}, keywords = {Ensemble Kalman filter; Matrix inversion; Sherman--Morrison formula; Matrix decomposition}, language = {English}, pages = {1-17}, publisher = {Springer US}, subjects = {inverse-problems,statistical-computing}, title = {An efficient implementation of the ensemble {Kalman} filter based on an iterative {Sherman--Morrison} formula}, url = {http://dx.doi.org/10.1007/s11222-014-9454-4}, year = {2014}, bdsk-url-1 = {http://dx.doi.org/10.1007/s11222-014-9454-4}} @article{Sandu_2011_MECCA, author = {R. Sander and A. Baumgaertner and S. Gromov and H. Harder and P. Jockel and A. Kerkweg and D. Kubistin and E. Regelin and H. Riede and A. Sandu and D. Taraborrelli and H. Tost and Z.-Q. Xie}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:46:55 -0400}, doi = {10.5194/gmd-4-373-2011}, journal = {Geoscientific Model Development}, pages = {373--380}, subjects = {earth-sciences}, title = {The atmospheric chemistry box model {CAABA/MECCA-3.0}}, url = {http://dx.doi.org/10.5194/gmd-4-373-2011}, volume = {4}, year = {2011}, bdsk-url-1 = {http://dx.doi.org/10.5194/gmd-4-373-2011}} @inproceedings{Sandu_2006_targetedObs_ICCS, author = {A. Sandu}, booktitle = {{International Conference on Computational Science (ICCS 2006)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:35:27 -0400}, doi = {10.1007/11758501_95}, editor = {V. Alexandrov et al.}, location = {Reading, U.K.}, pages = {712--719}, series = {Lecture Notes in Computer Science}, subjects = {sensitivity-analysis,inverse-problems,earth-sciences}, title = {{Targeted observations for atmospheric chemistry and transport models}}, url = {http://dx.doi.org/10.1007/11758501_95}, volume = {3991}, year = {2006}, bdsk-url-1 = {http://dx.doi.org/10.1007/11758501_95}} @incollection{Sandu_2010_inverseDADJ, author = {A. Sandu}, booktitle = {{Large Scale Inverse Problems and Quantification of Uncertainty}}, chapter = {12}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-02 22:29:32 -0400}, doi = {10.1002/9780470685853.ch16}, editor = {L. Biegler and G. Biros and O. Ghattas and M. Heinkenschloss and D. Keyes and B. Mallick and L. Tenorio and B. van Bloemen Waanders and K. Willcox}, pages = {345--364}, publisher = {John Wiley \& Sons}, subjects = {sensitivity-analysis, inverse-problems, optimization}, title = {Solution of inverse {ODE} problems using discrete adjoints}, url = {http://dx.doi.org/10.1002/9780470685853.ch16}, year = {2010}, bdsk-url-1 = {http://dx.doi.org/10.1002/9780470685853.ch16}} @incollection{Sandu_2008_dadjLMM, author = {A. Sandu}, booktitle = {Advances in Automatic Differentiation}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:11:16 -0400}, doi = {10.1007/978-3-540-68942-3_1}, editor = {C.H. Bischof and H.M. Bucker and P. Hovland and U. Naumann and J. Utke}, pages = {1--12}, publisher = {Springer, XVIII, 370 p. 111 illus. ISBN: 978-3-540-68935-5}, series = {Lecture Notes in Computational Science and Engineering}, subjects = {sensitivity-analysis, time-integration}, title = {Reverse automatic differentiation of linear multistep methods}, url = {http://dx.doi.org/10.1007/978-3-540-68942-3_1}, volume = {64}, year = {2008}, bdsk-url-1 = {http://dx.doi.org/10.1007/978-3-540-68942-3_1}} @article{Sandu_2013_CMA-Markov, author = {A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:37:55 -0400}, doi = {10.1007/s11075-013-9758-z}, journal = {Numerical Algorithms}, number = {3}, pages = {485--498}, subjects = {statistical-computing,computational-biology}, title = {A new look at the chemical master equation}, url = {http://dx.doi.org/10.1007/s11075-013-9758-z}, volume = {65}, year = {2013}, bdsk-url-1 = {http://dx.doi.org/10.1007/s11075-013-9758-z}} @inproceedings{Sandu_2008_chemicalDA_ICHE, author = {A. Sandu}, booktitle = {Proceedings of the 8th International Conference on HydroScience and Engineering (ICHE 2008)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:08:24 -0400}, location = {Nagoya Hydraulic Research Institute for River Basin Management, Department of Civil Engineering, Nagoya University}, numpages = {10}, subjects = {inverse-problems,earth-sciences}, title = {Chemical data assimilation: computational tools and applications}, year = {2008}} @techreport{Sandu_2007_dadjLMM_report, author = {A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:19:10 -0400}, institution = {Computer Science Department, Virginia Tech}, number = {CS-TR-07-40}, subjects = {sensitivity-analysis,time-integration}, title = {On consistency properties of discrete adjoint linear multistep methods}, url = {http://vtechworks.lib.vt.edu/handle/10919/19773}, year = {2007}, bdsk-url-1 = {http://vtechworks.lib.vt.edu/handle/10919/19773}} @article{Sandu_2006_ppAerosols, author = {A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:33:49 -0400}, doi = {10.1080/02786820500543274}, journal = {Aerosol Science and Technology}, pages = {1--13}, subjects = {earth-sciences}, title = {Piecewise polynomial solutions of aerosol dynamics}, url = {http://dx.doi.org/10.1080/02786820500543274}, volume = {40}, year = {2006}, bdsk-url-1 = {http://dx.doi.org/10.1080/02786820500543274}} @inproceedings{Sandu_2006_dadjRK, author = {A. Sandu}, booktitle = {Lecture Notes in Computer Science}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:18:45 -0400}, doi = {10.1007/11758549_76}, organization = {International Conference on Computational Science}, pages = {550--557}, subjects = {sensitivity-analysis,time-integration}, title = {On the properties of {Runge-Kutta} discrete adjoints}, url = {http://dx.doi.org/10.1007/11758549_76}, volume = {LNCS 3994, Part IV}, year = {2006}, bdsk-url-1 = {http://dx.doi.org/10.1007/11758549_76}} @misc{Sandu_2004_parallelAQMs, author = {A. Sandu and C. Belwal and E.M. Constantinescu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:27:12 -0400}, note = {{No Proceedings}}, organization = {SIAM Conference on Parallel Processing for Scientific Computing}, subjects = {high-performance-computing,earth-sciences}, title = {{Parallel adaptive simulations of regional air quality}}, year = {2004}} @inproceedings{Sandu_1995_AD-CTM, author = {A. Sandu and G.R. Carmichael and F.A. Potra}, booktitle = {{SAMO-95: Theory and applications of sensitivity analysis of model output in computer simulation}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-02 16:25:14 -0400}, location = {Louxembourg}, number = {L--2985}, pages = {49--51}, series = {Office for Official Publications of the European Communities}, subjects = {sensitivity-analysis, earth-sciences}, title = {Using automatic differentiation for sensitivity analysis of atmospheric chemistry models}, year = {1995}} @article{Sandu_2011_assimilationOverview, author = {A. Sandu and T.F. Chai}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:46:20 -0400}, doi = {10.3390/atmos2030426}, journal = {Atmosphere}, number = {3}, pages = {426--463}, subjects = {inverse-problems,earth-sciences}, title = {Chemical data assimilation---{An} overview}, url = {http://www.mdpi.com/2073-4433/2/3/426}, volume = {2}, year = {2011}, bdsk-url-1 = {http://www.mdpi.com/2073-4433/2/3/426}} @incollection{Sandu_2010_paradigmAQM, author = {A. Sandu and T. Chai and G.R. Carmichael}, booktitle = {Modelling of Pollutants in Complex Environments}, chapter = {15}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:42:28 -0400}, editor = {G. Hanrahan}, keywords = {ISBN-10: 1906799016, ISBN-13: 978-1906799014}, pages = {419--434}, publisher = {ILM Publications}, series = {Advanced Topics in Environmental Science}, subjects = {inverse-problems,earth-sciences}, title = {Integration of models and observations: A modern paradigm for air quality}, url = {http://www.amazon.com/Modelling-Pollutants-Complex-Environmental-Advanced/dp/1906799016}, volume = {2}, year = {2010}, bdsk-url-1 = {http://www.amazon.com/Modelling-Pollutants-Complex-Environmental-Advanced/dp/1906799016}} @article{Sandu_2015_subspace-DA, author = {A. Sandu and H. Cheng}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:13:58 -0400}, doi = {10.1615/Int.J.UncertaintyQuantification.2015009880}, journal = {International Journal for Uncertainty Quantification}, number = {6}, pages = {491--510}, subjects = {inverse-problems}, title = {An error subspace perspective on data assimilation}, volume = {5}, year = {2015}, bdsk-url-1 = {http://dx.doi.org/10.1615/Int.J.UncertaintyQuantification.2015009880}} @inproceedings{Sandu_2009_MR-hyperbolic_ICNAAM, author = {A. Sandu and E.M. Constantinescu}, booktitle = {International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2009)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:56:08 -0400}, doi = {10.1063/1.3241354}, location = {Rethymno, Crete, Greece}, pages = {1411--1414}, series = {American Institute of Physics (AIP) Conference Proceedings}, subjects = {time-integration}, title = {Multirate time discretizations for hyperbolic partial differential equations}, url = {http://dx.doi.org/10.1063/1.3241354}, volume = {1168-1}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/10.1063/1.3241354}} @article{Sandu_2009_MR-monotonic-LMM, author = {A. Sandu and E.M. Constantinescu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:55:53 -0400}, doi = {doi:10.1007/s10915-008-9235-3}, journal = {Journal of Scientific Computing}, number = {2}, pages = {229--249}, subjects = {time-integration}, title = {Multirate {A}dams methods for hyperbolic equations}, url = {http://dx.doi.org/10.1007/s10915-008-9235-3}, volume = {38}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/10.1007/s10915-008-9235-3}} @inproceedings{Sandu_2008_multimethods_Copper, author = {A. Sandu and E.M. Constantinescu}, booktitle = {Tenth Copper Mountain conference on iterative methods}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:12:09 -0400}, location = {Copper Mountain, Colorado}, month = {April}, pages = {70}, subjects = {time-integration,multimethods}, title = {Multirate, multimethod time stepping techniques for {PDEs}}, year = {2008}} @article{Sandu_2011_EnKF-DDDAS, annote = {doi:10.1260/1748-3018.5.4.667 }, author = {A. Sandu and E.M. Constantinescu and G.R. Carmichael and T. Chai and D. Daescu and J.H. Seinfeld}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:45:57 -0400}, doi = {10.1260/1748-3018.5.4.667}, journal = {Journal of Algorithms and Computational Technology}, number = {4}, pages = {667--692}, subjects = {inverse-problems,statistical-computing,earth-sciences}, title = {Ensemble methods for dynamic data assimilation of chemical observations in atmospheric models}, url = {http://dx.doi.org/10.1260/1748-3018.5.4.667}, volume = {5}, year = {2011}, bdsk-url-1 = {http://dx.doi.org/10.1260/1748-3018.5.4.667}} @inproceedings{Sandu_2007_LEnKF_ICCS, author = {A. Sandu and E.M. Constantinescu and G. Carmichael and T. Chai and J. Seinfeld and D. Daescu}, booktitle = {{International Conference on Computational Science (ICCS 2007)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:22:31 -0400}, doi = {10.1007/978-3-540-72584-8_134}, editor = {Y. Shi and G. van Albada and J. Dongarra and P. Sloot}, location = {Beijing, China}, pages = {1418--1025}, series = {Lecture Notes in Computer Science}, subjects = {inverse-problems,statistical-computing,earth-sciences}, title = {Localized ensemble {Kalman} dynamic data assimilation for atmospheric chemistry}, url = {http://dx.doi.org/10.1007/978-3-540-72584-8_134}, volume = {4487}, year = {2007}, bdsk-url-1 = {http://dx.doi.org/10.1007/978-3-540-72584-8_134}} @inproceedings{Sandu_2005_EnKF-AQM_ICCS, author = {A. Sandu and E.M. Constantinescu and W. Liao and G.R. Carmichael and T. Chai and J.H. Seinfeld and D. Daescu}, booktitle = {International Conference on Computational Science (ICCS05)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:39:39 -0400}, doi = {10.1007/11428848_84}, organization = {International Conference on Computational Science}, pages = {648--656}, subjects = {inverse-problems,statistical-computing,earth-sciences}, title = {Ensemble--based data assimilation for atmospheric chemical transport models}, url = {http://dx.doi.org/10.1007/11428848_84}, year = {2005}, bdsk-url-1 = {http://dx.doi.org/10.1007/11428848_84}} @article{Sandu_2005_adjointAQM, author = {A. Sandu and D. Daescu and G.R. Carmichael and T. Chai}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:41:35 -0400}, doi = {10.1016/j.jcp.2004.10.011}, journal = {Journal of Computational Physics}, pages = {222--252}, subjects = {sensitivity-analysis,earth-sciences}, title = {Adjoint sensitivity analysis of regional air quality models}, url = {http://dx.doi.org/10.1016/j.jcp.2004.10.011}, volume = {204}, year = {2005}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.jcp.2004.10.011}} @misc{Sandu_2004_parallelDA_SIAMPP, author = {A. Sandu and D. Daescu and G.R. Carmichael and T. Chai}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:26:03 -0400}, journal = {SIAM Conference on Parallel Processing PP04}, pages = {San Francisco}, subjects = {inverse-problems,high-performance-computing}, title = {Parallel chemical data assimilation in atmospheric models}, volume = {Session CP4}, year = {2004}} @incollection{Sandu_2004_fdvarAQM_ICCS, address = {Berlin--Heidelberg}, author = {A. Sandu and D.N. Daescu and T. Chai and G.R. Carmichael and J.H. Seinfeld and P.G. Hess and T.L. Anderson}, booktitle = {Computational Science --- ICCS 2004: 4th International Conference on Computational Science}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:25:14 -0400}, editor = {Marian Bubak, Geert Dick van Albada, Peter M.A. Sloot, Jack Dongarra}, pages = {709--717}, publisher = {Springer}, subjects = {inverse-problems,sensitivity-analysis,optimization,earth-sciences}, title = {{Computational aspects of 4D-Var chemical data assimilation in atmospheric models}}, url = {https://books.google.com/books?id=VZH1BwAAQBAJ&pg=PA716&dq=Computational+aspects+of+4D-Var+chemical+data+assimilation+in+atmospheric+models&hl=en&sa=X&ved=0ahUKEwiMiPiU1MLSAhUKy2MKHaERBbwQ6AEIHDAA#v=onepage&q=Computational%20aspects%20of%204D-Var%20chemical%20data%20assimilation%20in%20atmospheric%20models&f=false}, volume = {LLNCS 3038}, year = {2004}, bdsk-url-1 = {https://books.google.com/books?id=VZH1BwAAQBAJ&pg=PA716&dq=Computational+aspects+of+4D-Var+chemical+data+assimilation+in+atmospheric+models&hl=en&sa=X&ved=0ahUKEwiMiPiU1MLSAhUKy2MKHaERBbwQ6AEIHDAA#v=onepage&q=Computational%20aspects%20of%204D-Var%20chemical%20data%20assimilation%20in%20atmospheric%20models&f=false}} @article{Sandu_2015_GARK, author = {A. Sandu and M. G\"{u}nther}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:13:28 -0400}, doi = {10.1137/130943224}, journal = {SIAM Journal on Numerical Analysis}, number = {1}, pages = {17--42}, subjects = {time-integration,multimethods}, title = {A generalized-structure approach to additive {Runge-Kutta} methods}, url = {http://dx.doi.org/10.1137/130943224}, volume = {53}, year = {2015}, bdsk-url-1 = {http://arxiv.org/abs/1310.5573}} @article{Sandu_2005_inverseAerosols, author = {A. Sandu and W. Liao and G.R. Carmichael and D.K. Henze and J.H. Seinfeld}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:39:02 -0400}, doi = {10.1080/02786820500182289}, journal = {Aerosol Science and Technology}, pages = {1--18}, subjects = {inverse-problems,sensitivity-analysis,earth-sciences}, title = {Inverse modeling of aerosol dynamics using adjoints -- theoretical and numerical considerations}, url = {http://dx.doi.org/10.1080/02786820500182289}, volume = {39}, year = {2005}, bdsk-url-1 = {http://dx.doi.org/10.1080/02786820500182289}} @inproceedings{Sandu_2004_aerosolDA_ICCS, author = {A. Sandu and W. Liao and G.R. Carmichael and D. Henze and J.H. Seinfeld and T. Chai and D. Daescu}, booktitle = {{International Conference for Computational Science (ICCS-2004)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:29:16 -0400}, doi = {10.1007/978-3-540-24688-6_92}, location = {Krakow, Poland}, month = {June}, pages = {709--716}, publisher = {Springer-Verlag GmbH}, series = {Lecture Notes in Computer Science}, subjects = {inverse-problems,earth-sciences}, title = {{Computational aspects of data assimilation for aerosol dynamics}}, url = {http://dx.doi.org/10.1007/978-3-540-24688-6_92}, volume = {3038}, year = {2004}, bdsk-url-1 = {http://dx.doi.org/10.1007/978-3-540-24688-6_92}} @article{Sandu_2010_KPP22_TLM_ADJ, author = {A. Sandu and P. Miehe}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 14:45:12 -0400}, doi = {10.1080/00207160802676562}, journal = {International Journal of Computer Mathematics}, number = {11}, pages = {2458--2479}, subjects = {software,sensitivity-analysis,time-integration}, title = {Forward, tangent linear, and adjoint {Runge Kutta} methods in {KPP--2.2} for efficient chemical kinetic simulations}, url = {http://dl.acm.org/citation.cfm?id=1868060}, volume = {87}, year = {2010}, bdsk-url-1 = {http://dl.acm.org/citation.cfm?id=1868060}} @article{Sandu_1996_efficient-Implementation, author = {A.~ Sandu and F.A. Potra and V. Damian-Iordache and G.R. Carmichael}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 21:49:02 -0400}, doi = {10.1006/jcph.1996.0236}, journal = {Journal of Computational Physics}, pages = {101--110}, subjects = {earth-sciences, time-integration}, title = {Efficient implementation of fully implicit methods for atmospheric chemistry}, url = {http://dx.doi.org/10.1006/jcph.1996.0236}, volume = {129}, year = {1996}, bdsk-url-1 = {http://dx.doi.org/10.1006/jcph.1996.0236}} @article{Sandu_2006_KPP21, author = {A. Sandu and R. Sander}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:34:26 -0400}, doi = {1680-7324/acp/2006-6-187}, journal = {Atmospheric Chemistry and Physics}, pages = {187--195}, subjects = {software}, title = {{Modeling chemical kinetic systems in Fortran90 and Matlab with KPP-2.1}}, url = {http://dx.doi.org/10.5194/acp-6-187-2006}, volume = {6}, year = {2006}, bdsk-url-1 = {http://dx.doi.org/10.5194/acp-6-187-2006}, bdsk-url-2 = {http://dx.doi.org/1680-7324/acp/2006-6-187}} @article{Sandu_2006_uncertainMultibody_p1, author = {A. Sandu and C. Sandu and M. Ahmadian}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:32:25 -0400}, doi = {10.1007/s11044-006-9007-5}, journal = {Multibody System Dynamics}, number = {4}, pages = {369--391}, subjects = {uncertainty-quantification,computational-engineering}, title = {{Modeling multibody systems with uncertainties. Part I: theoretical and computational aspects}}, url = {http://dx.doi.org/10.1007/s11044-006-9007-5}, volume = {15}, year = {2006}, bdsk-url-1 = {http://dx.doi.org/10.1007/s11044-006-9007-5}} @inproceedings{Sandu_2004_controlMBD_IMECHE, author = {A. Sandu and C. Sandu and B. Chan and M. Ahmadian}, booktitle = {{Proceedings of the ASME IMECHE 2004}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:30:44 -0400}, doi = {10.1115/imece2004-60844}, location = {Annaheim, California}, month = {November 14-19}, number = {IMECHE-2004-60484}, pages = {9}, series = {Sixth annual symposium on advanced vehicle technology}, subjects = {computational-engineering,uncertainty-quantification}, title = {Control of mechanical systems using a parameterized spectral decomposition approach}, url = {http://dx.doi.org/10.1115/imece2004-60844}, year = {2004}, bdsk-url-1 = {http://dx.doi.org/10.1115/imece2004-60844}} @article{Sandu_1999_MD-resonance, author = {A.~ Sandu and T. Schlick}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 21:50:47 -0400}, doi = {10.1006/jcph.1999.6202}, journal = {Journal of Computational Physics}, number = {1}, pages = {74-113}, subjects = {computational-biology, time-integration}, title = {Masking resonance artifacts in force-splitting methods for biomolecular simulations by extrapolative {Langevin} dynamics}, url = {http://dx.doi.org/10.1006/jcph.1999.6202}, volume = {151}, year = {1999}, bdsk-url-1 = {http://dx.doi.org/10.1006/jcph.1999.6202}} @inproceedings{Sandu_2012_matrixFree_DD20, address = {La Jolla, California}, author = {A. Sandu and A. St-Cyr}, booktitle = {Domain Decomposition Conference DD'20}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:14:24 -0400}, doi = {10.1007/978-3-642-35275-1_47}, subjects = {time-integration}, title = {Stability analysis of the matrix-free linearly implicit {Euler} method}, url = {http://dx.doi.org/10.1007/978-3-642-35275-1_47}, year = {2012}, bdsk-url-1 = {http://dx.doi.org/10.1007/978-3-642-35275-1_47}} @article{Sandu_1997_benchmarking-II, author = {A.~ Sandu and J.G. Verwer and J.G. Blom and E.J. Spee and G.R. Carmichael and F.A. Potra}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 21:49:48 -0400}, doi = {10.1016/s1352-2310(97)83212-8}, journal = {Atmospheric Environment}, pages = {3459--3472}, subjects = {earth-sciences, time-integration}, title = {{Benchmarking stiff ODE solvers for atmospheric chemistry problems. II: Rosenbrock solvers}}, url = {http://dx.doi.org/10.1016/s1352-2310(97)83212-8}, volume = {31}, year = {1997}, bdsk-url-1 = {http://dx.doi.org/10.1016/s1352-2310(97)83212-8}} @article{Sandu_1997_benchmarking-I, author = {A.~ Sandu and J.G. Verwer and M. van Loon and G.R. Carmichael and F.A. Potra and D. Dabdub and J.H. Seinfeld}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 21:49:59 -0400}, doi = {10.1016/S1352-2310(97)00059-9}, journal = {Atmospheric Environment}, pages = {3151-3166}, subjects = {earth-sciences, time-integration}, title = {{Benchmarking stiff ODE solvers for atmospheric chemistry problems. I: implicit versus explicit}}, url = {http://dx.doi.org/10.1016/S1352-2310(97)00059-9}, volume = {31}, year = {1997}, bdsk-url-1 = {http://dx.doi.org/10.1016/S1352-2310(97)00059-9}} @article{Sandu_2008_SOA-AQM, author = {A. Sandu and L. Zhang}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:07:51 -0400}, doi = {10.1016/j.jcp.2008.02.011}, journal = {Jurnal of Computational Physics}, number = {12}, pages = {5949--5983}, subjects = {sensitivity-analysis,earth-sciences}, title = {Discrete second order adjoints in atmospheric chemical transport modeling}, url = {http://dx.doi.org/10.1016/j.jcp.2008.02.011}, volume = {227}, year = {2008}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.jcp.2008.02.011}} @conference{Sandu_2008_SOA_IDETC, author = {A. Sandu and L. Zhang}, booktitle = {ASME 2008 International Design Engineering Technical Conferences \& Computers and Information in Engineering Conference IDETC/CIE 2008}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:07:19 -0400}, subjects = {sensitivity-analysis,inverse-problems,computational-engineering}, title = {Obtaining and using second order information in the solution of inverse problems}, year = {2008}} @article{Sandu_2006_uncertainMultibody_p2, author = {C. Sandu and A. Sandu and M. Ahmadian}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:32:04 -0400}, doi = {10.1007/s11044-006-9008-4}, journal = {Multibody System Dynamics}, number = {3}, pages = {245--266}, subjects = {uncertainty-quantification,computational-engineering}, title = {{Modeling multibody dynamic systems with uncertainties. Part II: numerical applications}}, url = {http://dx.doi.org/10.1007/s11044-006-9008-4}, volume = {15}, year = {2006}, bdsk-url-1 = {http://dx.doi.org/10.1007/s11044-006-9008-4}} @article{Sandu_2008_spectralControl, author = {C. Sandu and A. Sandu and B. Chan and M. Ahmadian}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:06:42 -0400}, doi = {10.1504/ijhvs.2008.017982}, journal = {International Journal of Heavy Vehicle Systems}, number = {1}, pages = {26}, subjects = {optimization,computational-engineering}, title = {A response spectral decomposition approach for the control of nonlinear mechanical systems}, url = {http://dx.doi.org/10.1504/ijhvs.2008.017982}, volume = {15}, year = {2008}, bdsk-url-1 = {http://dx.doi.org/10.1504/ijhvs.2008.017982}} @inproceedings{Sandu_2005_constrainedMBS, author = {C. Sandu and A. Sandu and B. Chan and M. Ahmadian}, booktitle = {Proceedings of the SAE Congress 2005}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-02 22:45:33 -0400}, doi = {10.4271/2005-01-0936}, number = {2005-01-0936}, publisher = {SAE International}, subjects = {uncertainty-quantification, computational-engineering}, title = {Treatment of constrained multibody dynamic systems with uncertainties}, url = {http://dx.doi.org/10.4271/2005-01-0936}, year = {2005}, bdsk-url-1 = {http://dx.doi.org/10.4271/2005-01-0936}} @inproceedings{Sandu_2004_uncertainMBD-PC_IMECHE, author = {C. Sandu and A. Sandu and B. Chan and M. Ahmadian}, booktitle = {{Proceedings of the ASME IMECHE 2004}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:29:58 -0400}, doi = {10.1115/imece2004-60842}, location = {Annaheim, California}, month = {November 14-19}, number = {IMECHE-2004-60482}, pages = {9}, series = {Sixth annual symposium on advanced vehicle technology}, subjects = {uncertainty-quantification,computational-engineering}, title = {Treating uncertainties in multi-body dynamic systems using a polynomial chaos spectral decomposition}, url = {http://dx.doi.org/10.1115/imece2004-60842}, year = {2004}, bdsk-url-1 = {http://dx.doi.org/10.1115/imece2004-60842}} @article{Sandu_2006_stochasticTerrain, author = {C. Sandu and A. Sandu and and L. Li}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:33:30 -0400}, doi = {10.4271/2005-01-3559}, journal = {SAE 2005 Transactions -- Journal of Commercial Vehicles}, number = {2}, pages = {211--220}, subjects = {uncertainty-quantification,computational-engineering}, title = {Stochastic modeling of terrain profiles and soil parameters}, url = {http://dx.doi.org/10.4271/2005-01-3559}, volume = {114}, year = {2006}, bdsk-url-1 = {http://dx.doi.org/10.4271/2005-01-3559}} @conference{Sandu_2005_stochasticSoil, author = {C. Sandu and A. Sandu and L. Lin}, booktitle = {Proceedings of the SAE Commercial Vehicle Engineering Congress and Exhibition}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:37:12 -0400}, doi = {10.4271/2005-01-3559}, subjects = {uncertainty-quantification,computational-engineering}, title = {Stochastic modeling of terrain profiles and soil parameters}, url = {http://dx.doi.org/10.4271/2005-01-3559}, year = {2005}, bdsk-url-1 = {http://dx.doi.org/10.4271/2005-01-3559}} @inproceedings{Sandu_2009_memoryHierarchy_PPoPP, author = {S. Schneider and J.-S. Yeom and B. Rose and J.C. Linford and A. Sandu and D.S. Nikolopoulos}, booktitle = {Proceedings of the 14th ACM SIGPLAN symposium on Principles and practice of parallel programming (PPoPP '09)}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 14:49:05 -0400}, doi = {10.1145/1594835.1504197}, location = {Raleigh, NC, USA}, numpages = {10}, organization = {ACM SIGPLAN}, pages = {131--140}, subjects = {high-performance-computing}, title = {A comparison of programming models for multiprocessors with explicitly managed memory hierarchies}, url = {http://dx.doi.org/10.1145/1594835.1504197}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/10.1145/1594835.1504197}} @inproceedings{Sandu_1998_exploring-aerosols, author = {H. Shan and G.R. Carmichael and A. Sandu and B. Hotchkis}, booktitle = {{Proceedings of the First International Conference on Air Pollution Modeling and Simulation (APMS-1998)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 21:50:14 -0400}, location = {Champs-sur-Marne, France}, pages = {12}, subjects = {earth-sciences, sensitivity-analysis}, title = {Exploring the effects of aerosols and photochemistry and radiative processes in the troposphere using automatic differentiation}, year = {1998}} @inproceedings{Sandu_2009_GeosChem-TES_ICCS, author = {K. Singh and P. Eller and A. Sandu and K. Bowman and D.B. Jones and M. Lee}, booktitle = {Lecture Notes on Computational Science}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 14:48:27 -0400}, doi = {10.1007/978-3-642-01973-9_34}, editor = {G. Allen and J. Nabrzyski and E. Seidel and G.D. van Albada and J. Dongarra and P.M.A. Sloot}, location = {Baton Rouge, LA, USA}, organization = {International Conference on Computational Science}, pages = {302--311}, subjects = {inverse-problems,earth-sciences}, title = {Improving {GEOS-Chem} model tropospheric ozone through assimilation of pseudo {Tropospheric Emission Spectrometer} profile retrievals}, url = {http://dx.doi.org/10.1007/978-3-642-01973-9_34}, volume = {5545}, year = {2009}, bdsk-url-1 = {http://dx.doi.org/10.1007/978-3-642-01973-9_34}} @inproceedings{Sandu_2009_GeosChemAdjoint_HPC, author = {K. Singh and P. Eller and A. Sandu and D. Henze and K. Bowman and M. Kopacz and M. Lee}, booktitle = {{Proceedings of the 2009 Spring Simulation Multiconference (SpringSim'09), High Performance Computing Symposium (HPC-2009)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:04:26 -0400}, editor = {C. Ribbens and A. Sandu and W.I. Thacker}, month = {March}, organization = {{Society for Modeling and Simulation International (SCS)}}, pages = {8}, subjects = {sensitivity-analysis,software}, title = {Towards the construction of a standard adjoint {GEOS-Chem} model}, url = {http://dl.acm.org/citation.cfm?id=1639809.1639925}, year = {2009}, bdsk-url-1 = {http://dl.acm.org/citation.cfm?id=1639809.1639925}} @article{Sandu_2011_nonDiagonalCovariance, author = {K. Singh and M. Jardak and A. Sandu and K. Bowman and M. Lee and D. Jones}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:45:25 -0400}, doi = {10.5194/gmd-4-299-2011}, journal = {Geoscientific Model Development}, pages = {299--314}, subjects = {statistical-computing,inverse-problems,earth-sciences}, title = {Construction of non-diagonal background error covariance matrices for global chemical data assimilation}, url = {http://dx.doi.org/10.5194/gmd-4-299-2011}, volume = {4}, year = {2011}, bdsk-url-1 = {http://dx.doi.org/10.5194/gmd-4-299-2011}} @article{Sandu_2012_quasiFdvar, annote = {http://dx.doi.org/10.1016/j.cageo.2011.07.003}, author = {K. Singh and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:13:58 -0400}, doi = {10.1016/j.cageo.2011.07.003}, journal = {Computers \& Geosciences}, pages = {10--18}, subjects = {inverse-problems,optimization}, title = {Variational chemical data assimilation with approximate adjoints}, url = {http://dx.doi.org/10.1016/j.cageo.2011.07.003}, volume = {40}, year = {2012}, bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0098300411002317}, bdsk-url-2 = {http://dx.doi.org/10.1016/j.cageo.2011.07.003}} @article{Sandu_2011_DA-comparison, author = {K. Singh and A. Sandu and K. Bowman and M. Parrington and D.B. Jones and M. Lee}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:44:54 -0400}, doi = {10.5194/acpd-11-22247-2011}, journal = {Atmospheric Chemistry and Physics Discussions}, pages = {22247--22300}, subjects = {inverse-problems,earth-sciences}, title = {Ozone data assimilation with {GEOS-Chem}: a comparison between {3D-Var}, {4D-Var}, and suboptimal {Kalman} filter approaches}, url = {http://www.atmos-chem-phys-discuss.net/11/22247/2011/acpd-11-22247-2011.html}, volume = {11}, year = {2011}, bdsk-url-1 = {http://www.atmos-chem-phys-discuss.net/11/22247/2011/acpd-11-22247-2011.html}} @article{Sandu_2013_informationTheory, author = {K. Singh and A. Sandu and M. Jardak and K. W. Bowman and M. Lee}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:37:34 -0400}, doi = {10.1137/120884523}, journal = {SIAM/ASA Journal of Uncertainty Quantification}, number = {1}, pages = {106--138}, publisher = {SIAM}, subjects = {inverse-problems,statistical-computing,optimization}, title = {A practical method to estimate information content in the context of {4D-Var} data assimilation}, url = {http://dx.doi.org/10.1137/120884523}, volume = {1}, year = {2013}, bdsk-url-1 = {http://dx.doi.org/10.1137/120884523}} @article{Sandu_2012_informationMetrics_ICCS, author = {K. Singh and A. Sandu and M. Jardak and M. Lee and K. Bowman}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:26:51 -0400}, doi = {10.1016/j.procs.2012.04.113}, journal = {Procedia Computer Science}, pages = {1047--1055}, publisher = {Elsevier}, subjects = {inverse-problems,statistical-computing}, title = {Information theoretic metrics to characterize observations in variational data assimilation}, url = {http://dx.doi.org/10.1016/j.procs.2012.04.113}, volume = {9}, year = {2012}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.procs.2012.04.113}} @inproceedings{Sandu_2007_stabilizedRKC_HPC, address = {San Diego, CA, USA}, author = {A. Srivastava and J.C. Linford and A. Sandu}, booktitle = {Proceedings of the 2007 spring simulation multiconference - Volume 2}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:24:03 -0400}, location = {Norfolk, Virginia, USA}, numpages = {7}, pages = {350--356}, publisher = {Society for Computer Simulation International}, series = {SpringSim '07}, subjects = {time-integration,earth-sciences}, title = {Performance of stabilized explicit time integration methods for parallel air quality models}, url = {http://portal.acm.org/citation.cfm?id=1404680.1404734}, volume = {ISBN:1-56555-313-6}, year = {2007}, bdsk-url-1 = {http://portal.acm.org/citation.cfm?id=1404680.1404734}} @article{Sandu_2017_SMDEIM, author = {R. Stefanescu and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 22:12:12 -0400}, doi = {10.1002/fld.4260}, journal = {International Journal of Numerical Methods in Fluids}, number = {2}, pages = {175-204}, subjects = {surrogate-models}, title = {Efficient approximation of sparse {J}acobians for time-implicit reduced order models}, url = {http://dx.doi.org/10.1002/fld.4260}, volume = {83}, year = {2017}, bdsk-url-1 = {http://onlinelibrary.wiley.com/doi/10.1002/fld.3946/abstract}} @article{Sandu_2015_POD-inverse-problems, author = {R. Stefanescu and A. Sandu and I.M. Navon}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:13:12 -0400}, doi = {10.1016/j.jcp.2015.04.030}, journal = {Journal of Computational Physics}, pages = {569--595}, subjects = {inverse-problems,surrogate-models}, title = {{POD/DEIM} strategies for reduced data assimilation systems}, url = {http://dx.doi.org/10.1016/j.jcp.2015.04.030}, volume = {295}, year = {2015}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.jcp.2015.04.030}} @article{Sandu_2004_multiscaleTroposheric, author = {Y. Tang and G.R. Carmichael and L.W. Horowitz and I. Uno and J.H. Woo and D.G. Streets and D. Dabdub and G. Kurata and A. Sandu and J. Allan and E. Atlas and F. Flocke and L.G. Huey and R.O. Jakoubek and D.B. Millet and D.D. Parrish and P.K. Quinn and J.M. Roberts and T.B. Ryerson and E. Williams and J.B. Nowak and D. Worsnop and A. Goldstein and S. Donnelly and S. Schauffler and V. Stroud and K. Johnson and M.A. Avery and H.B. Singh and E.C. Apel}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:23:44 -0400}, doi = {10.1029/2004JD004513}, journal = {Journal of Geophysical Research - Atmospheres}, number = {D23}, subjects = {earth-sciences}, title = {{Multi-scale simulations of tropospheric chemistry in the Eastern Pacific and U.S. West coast during spring 2002}}, url = {http://dx.doi.org/10.1029/2004JD004513}, volume = {109}, year = {2004}, bdsk-url-1 = {http://dx.doi.org/10.1029/2004JD004513}} @article{Sandu_2004_3dStudies, author = {Y. Tang and G.R. Carmichael and J.H. Seinfeld and D. Dabdub and R.J. Weber and B. Huebert and A.D. Clarke and S.A. Guazzotti and D.A. Sodeman and K.A. Prather and I. Uno and J.H. Woo and D.G. Streets and P. K. Quinn and J.E. Johnson and C.H. Song and A. Sandu and R.W. Talbot and J.E. Dibb}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 11:23:16 -0400}, doi = {D19S23, 10.1029/2003JD004201}, journal = {Journal of Geophysical Research}, number = {D19}, subjects = {earth-sciences}, title = {{Three-dimensional studies of aerosol ions and their size distribution in East Asia during spring 2001}}, url = {http://dx.doi.org/10.1029/2003JD004201}, volume = {109}, year = {2004}, bdsk-url-1 = {http://dx.doi.org/10.1029/2003JD004201}, bdsk-url-2 = {http://dx.doi.org/19S23,%2010.1029/2003JD004201}} @inproceedings{Sandu_2013_ROK-supercomputing, author = {P. Tranquilli and R. Glandon and A. Sandu}, booktitle = {ScalA13: Proceedings of the workshop on latest advances in scalable algorithms for large-scale systems}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:36:53 -0400}, doi = {10.1145/2530268.2530273}, organization = {SC13: The International Conference for High Performance Computing, Networking, Storage and Analysis}, subjects = {time-integration,high-performance-computing}, title = {{CUDA} acceleration of a matrix-free {Rosenbrock-K} method applied to the shallow water equations}, url = {http://dx.doi.org/10.1145/2530268.2530273}, year = {2013}, bdsk-url-1 = {http://dx.doi.org/10.1145/2530268.2530273}} @article{Sandu_2014_Rosenbrock-Krylov, author = {P. Tranquilli and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:19:39 -0400}, doi = {10.1137/130923336}, journal = {SIAM Journal on Scientific Computing}, keywords = {Mathematics - Numerical Analysis, 65L05}, number = {3}, pages = {A1313--A1338}, subjects = {time-integration}, title = {{R}osenbrock-{K}rylov methods for large systems of differential equations}, url = {http://dx.doi.org/10.1137/130923336}, volume = {36}, year = {2014}, bdsk-url-1 = {http://dx.doi.org/10.1137/130923336}} @article{Sandu_2014_exponential-Krylov, author = {P. Tranquilli and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:19:15 -0400}, doi = {10.1016/j.jcp.2014.08.013}, journal = {Journal of Computational Physics}, pages = {31--46}, subjects = {time-integration}, title = {Exponential-{Krylov} methods for ordinary differential equations}, url = {http://dx.doi.org/10.1016/j.jcp.2014.08.013}, volume = {278}, year = {2014}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.jcp.2014.08.013}} @article{Sandu_2011_chemSolverOverview, author = {H. Zhang and J.C. Linford and A. Sandu and R. Sander}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:44:25 -0400}, doi = {10.3390/atmos2030510}, journal = {Atmosphere}, number = {3}, pages = {510--532}, subjects = {time-integration,earth-sciences}, title = {Chemical mechanism solvers in air quality models}, url = {http://www.mdpi.com/2073-4433/2/3/510}, volume = {2}, year = {2011}, bdsk-url-1 = {http://www.mdpi.com/2073-4433/2/3/510}} @inproceedings{Sandu_2012_IMEX-GLM-ICCS, author = {H. Zhang and A. Sandu}, booktitle = {Proceedings of the International Conference on Computational Science ICCS 2012}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:42:37 -0400}, doi = {10.1016/j.procs.2012.04.112}, location = {Boston, MA}, month = {April}, pages = {1039--1046}, subjects = {time-integration,multimethods}, title = {A second-order diagonally-implicit-explicit multi-stage integration method}, url = {http://dx.doi.org/10.1016/j.procs.2012.04.112}, volume = {9}, year = {2012}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.procs.2012.04.112}} @article{Sandu_2014_FATODE, author = {H. Zhang and A. Sandu}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:18:53 -0400}, doi = {10.1137/130912335}, journal = {SIAM Journal on Scientific Computing}, number = {5}, pages = {C504--C523}, subjects = {time-integration,sensitivity-analysis,software}, title = {{FATODE: A} library for forward, adjoint and tangent linear Integration of stiff systems}, url = {http://dx.doi.org/10.1137/130912335}, volume = {36}, year = {2014}, bdsk-url-1 = {http://dl.acm.org/citation.cfm?id=2048596}} @article{Sandu_2014_IMEX-GLM, author = {H. Zhang and A. Sandu and S. Blaise}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 10:36:05 -0400}, doi = {10.1007/s10915-014-9819-z}, journal = {Journal of Scientific Computing}, number = {1}, pages = {119--144}, subjects = {time-integration,multimethods}, title = {Partitioned and implicit-explicit general linear methods for ordinary differential equations}, volume = {61}, year = {2014}, bdsk-url-1 = {http://dx.doi.org/10.1007/s10915-014-9819-z}} @article{Sandu_2016_highOrder-IMEX-GLM, author = {H. Zhang and A. Sandu and S. Blaise}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-03 22:15:46 -0400}, doi = {10.1137/15M1018897}, journal = {SIAM Journal on Scientific Computing}, number = {3}, pages = {A1430-A1453}, subjects = {time-integration}, title = {High order implicit--explicit general linear methods with optimized stability regions}, volume = {38}, year = {2016}, bdsk-url-1 = {http://arxiv.org/abs/1407.2337}} @article{Sandu_2008_fdvarTexas, author = {L. Zhang and E.M. Constantinescu and A. Sandu and Y. Tang and T. Chai and G.R. Carmichael and D. Byun and E. Olaguer}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:06:12 -0400}, doi = {10.1016/j.atmosenv.2008.03.048}, journal = {Atmospheric Environment}, number = {23}, pages = {5787--5804}, subjects = {inverse-problems,earth-sciences}, title = {An adjoint sensitivity analysis and {4D-Var} data assimilation study of {Texas} air quality}, url = {http://dx.doi.org/10.1016/j.atmosenv.2008.03.048}, volume = {42}, year = {2008}, bdsk-url-1 = {http://dx.doi.org/10.1016/j.atmosenv.2008.03.048}} @inproceedings{Sandu_2007_dataAssimilation_ICCS, author = {L. Zhang and A. Sandu}, booktitle = {{International Conference on Computational Science (ICCS 2007)}}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 15:23:04 -0400}, doi = {10.1007/978-3-540-72584-8_135}, editor = {Y. Shi and G. van Albada and J. Dongarra and P. Sloot}, location = {Beijing, China}, pages = {1026--1033}, series = {Lecture Notes in Computer Science}, subjects = {inverse-problems,earth-sciences}, title = {Data assimilation in multiscale chemical transport models}, url = {http://dx.doi.org/10.1007/978-3-540-72584-8_135}, volume = {4487}, year = {2007}, bdsk-url-1 = {http://dx.doi.org/10.1007/978-3-540-72584-8_135}} @article{Sandu_2015_IMEX-TSRK, author = {E. Zharovsky and A. Sandu and H. Zhang}, date-added = {2014-10-29 14:15:47 +0000}, date-modified = {2021-04-11 00:12:42 -0400}, doi = {10.1137/130937883}, journal = {SIAM Journal on Numerical Analysis}, number = {1}, pages = {321--341}, subjects = {time-integration,multimethods}, title = {A class of {IMEX} two-step {Runge-Kutta} methods}, url = {http://dx.doi.org/10.1137/130937883}, volume = {53}, year = {2015}, bdsk-url-1 = {http://eprints.cs.vt.edu/archive/00001183/}}