Edit Profile (opens in new tab) Sandu, Adrian Co-Author Distance Author ID: sandu.adrian Published as: Sandu, Adrian; Sandu, A. Documents Indexed: 116 Publications since 1996, including 22 Additional arXiv Preprints Co-Authors: 83 Co-Authors with 107 Joint Publications 1,660 Co-Co-Authors all top 5 Co-Authors 9 single-authored 11 Popov, Andrey A. 11 Tranquilli, Paul 10 Constantinescu, Emil M. 10 Sarshar, Arash 10 Zhang, Hong 9 Roberts, Steven P. 8 Carmichael, Gregory R. 8 Günther, Michael 6 Narayanamurthi, Mahesh 6 Nino-Ruiz, Elias David 6 Sandu, Corina 5 Cioaca, Alexandru 5 Ştefănescu, Răzvan 4 Alexe, Mihai 4 Daescu, Dacian N. 3 Cardone, Angelamaria 3 Chai, Tianfeng 3 Glandon, Ross 3 Jackiewicz, Zdzislaw 3 Potra, Florian-Alexandru 3 Rao, Vishwas 3 Subrahmanya, Amit N 2 Ahmadian, Mehdi 2 Blaise, Sébastien 2 Cheng, Haiyan 2 Corner, Sebastien 2 de Sturler, Eric 2 Hachtel, Christoph 2 Iliescu, Traian 2 Jay, Laurent-Olivier 2 Liu, Zheng 2 Miehe, Philipp 2 Mooasvi, Azam 2 Mou, Changhong 2 Navon, Ionel Michael 2 Römer, Ulrich 2 Schäfers, Kevin 1 Ahn, Tae-Hyuk 1 Bamberger, Alain 1 Barry-Straume, Jostein 1 Bartel, Andreas 1 Benjelloun-Dabaghi, Zakia 1 Billette, Emmanuel 1 Blanchard, Emmanuel 1 Borden, Christian 1 Bowman, K. W. 1 Cervena, Lenka 1 Chennault, Austin 1 Cooper, Rachel 1 Damian, Valeriu 1 Deng, Xinwei 1 Dopico, Daniel Dopico 1 Evensen, Geir 1 Glandon, S. Ross 1 Glandon, Steven R. 1 González-Pinto, Severiano 1 Han, Xiaoying 1 Hernandez-Abreu, Domingo 1 Jaecker-Voirol, Anne 1 Jardak, M. 1 Karpatne, Anuj 1 Kolev, Tzanio V. 1 Lee, Meemong 1 Liu, Honghu 1 McCall, Andrew 1 Moosavi, Azam 1 Ng, Michael Kwok-Po 1 Park, Dylan 1 Pérez-Rodríguez, Maria S. 1 Pickering, Brent P. 1 Pulch, Roland 1 Quandalle, Philippe 1 Rafid, Ali Haisam Muhammad 1 Roy, Christopher J. 1 Schlick, Tamar 1 Tang, Youhua 1 Tokman, Mayya 1 Tomov, Vladimir Z. 1 Verulkar, Adwait 1 Woodward, Carol S. 1 Zanna, Antonella 1 Zhang, Lin 1 Zharovsky, Evgeniy all top 5 Serials 14 SIAM Journal on Scientific Computing 13 Journal of Computational Physics 9 Journal of Computational and Applied Mathematics 6 Applied Numerical Mathematics 6 Journal of Scientific Computing 3 SIAM Journal on Numerical Analysis 3 Multibody System Dynamics 2 Numerical Algorithms 2 International Journal of Computer Mathematics 2 Optimization Methods & Software 2 Computational Geosciences 2 Mathematical Modelling and Analysis 2 Journal of Applied Analysis and Computation 2 SIAM/ASA Journal on Uncertainty Quantification 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Fluids 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Computation 1 BIT 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Discrete and Continuous Dynamical Systems 1 Engineering Computations 1 Nonlinear Analysis. Hybrid Systems 1 Statistics and Computing 1 International Journal for Uncertainty Quantification 1 Communications on Applied Mathematics and Computation all top 5 Fields 82 Numerical analysis (65-XX) 25 Ordinary differential equations (34-XX) 15 Geophysics (86-XX) 14 Statistics (62-XX) 10 Partial differential equations (35-XX) 9 Biology and other natural sciences (92-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Fluid mechanics (76-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Probability theory and stochastic processes (60-XX) 5 Systems theory; control (93-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 4 Operations research, mathematical programming (90-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 890 times in 443 Documents Cited by ▼ Year ▼ Multirate timestepping methods for hyperbolic conservation laws. Zbl 1127.76033 Constantinescu, Emil M.; Sandu, Adrian 68 2007 Partitioned and implicit-explicit general linear methods for ordinary differential equations. Zbl 1308.65122 Zhang, Hong; Sandu, Adrian; Blaise, Sebastien 44 2014 Extrapolation-based implicit-explicit general linear methods. Zbl 1291.65217 Cardone, Angelamaria; Jackiewicz, Zdzislaw; Sandu, Adrian; Zhang, Hong 40 2014 POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation. Zbl 1349.76535 Ştefănescu, R.; Sandu, A.; Navon, I. M. 35 2015 A generalized-structure approach to additive Runge-Kutta methods. Zbl 1327.65132 Sandu, Adrian; Günther, Michael 33 2015 Extrapolated implicit-explicit time stepping. Zbl 1209.65069 Constantinescu, Emil M.; Sandu, Adrian 31 2010 Multirate generalized additive Runge Kutta methods. Zbl 1344.65064 Günther, Michael; Sandu, Adrian 29 2016 Multirate explicit Adams methods for time integration of conservation laws. Zbl 1203.65112 Sandu, Adrian; Constantinescu, Emil M. 26 2009 A class of implicit-explicit two-step Runge-Kutta methods. Zbl 1327.65133 Zharovsky, Evgeniy; Sandu, Adrian; Zhang, Hong 26 2015 Optimal explicit strong-stability-preserving general linear methods. Zbl 1217.65179 Constantinescu, Emil M.; Sandu, Adrian 25 2010 Adjoint sensitivity analysis of regional air quality models. Zbl 1061.92061 Sandu, Adrian; Daescu, Dacian N.; Carmichael, Gregory R.; Chai, Tianfeng 20 2005 High order implicit-explicit general linear methods with optimized stability regions. Zbl 1337.65008 Zhang, Hong; Sandu, Adrian; Blaise, Sébastien 20 2016 Extrapolated multirate methods for differential equations with multiple time scales. Zbl 1269.65069 Constantinescu, Emil M.; Sandu, Adrian 20 2013 A class of multirate infinitesimal GARK methods. Zbl 1435.65109 Sandu, Adrian 19 2019 Modeling multibody systems with uncertainties. II: Numerical applications. Zbl 1146.70331 Sandu, Corina; Sandu, Adrian; Ahmadian, Mehdi 17 2006 Construction of highly stable implicit-explicit general linear methods. Zbl 1335.65060 Zhang, Hong; Sandu, Adrian; Jackiewicz, Zdzisław; Cardone, Angelamaria 17 2015 Extrapolated implicit-explicit Runge-Kutta methods. Zbl 1488.65174 Cardone, Angelamaria; Jackiewicz, Zdzisław; Sandu, Adrian; Zhang, Hong 17 2014 Positive numerical integration methods for chemical kinetic systems. Zbl 0984.65070 Sandu, Adrian 16 2001 Rosenbrock-Krylov methods for large systems of differential equations. Zbl 1320.65108 Tranquilli, Paul; Sandu, Adrian 16 2014 Modeling multibody systems with uncertainties. I: Theoretical and computational aspects. Zbl 1146.70330 Sandu, Adrian; Sandu, Corina; Ahmadian, Mehdi 14 2006 A framework for the numerical treatment of aerosol dynamics. Zbl 1022.76040 Sandu, Adrian; Borden, Christian 14 2003 On the properties of Runge-Kutta discrete adjoints. Zbl 1157.65421 Sandu, Adrian 13 2006 Second-order adjoints for solving PDE-constrained optimization problems. Zbl 1260.49060 Cioaca, Alexandru; Alexe, Mihai; Sandu, Adrian 13 2012 Coupled multirate infinitesimal GARK schemes for stiff systems with multiple time scales. Zbl 1441.65055 Roberts, Steven; Sarshar, Arash; Sandu, Adrian 12 2020 Exponential-Krylov methods for ordinary differential equations. Zbl 1349.65228 Tranquilli, Paul; Sandu, Adrian 11 2014 Parameter estimation for mechanical systems via an explicit representation of uncertainty. Zbl 1303.93165 Blanchard, Emmanuel; Sandu, Adrian; Sandu, Corina 11 2009 EPIRK-\(W\) and EPIRK-\(K\) time discretization methods. Zbl 1410.65255 Narayanamurthi, Mahesh; Tranquilli, Paul; Sandu, Adrian; Tokman, Mayya 11 2019 A multifidelity ensemble Kalman filter with reduced order control variates. Zbl 1467.62153 Popov, Andrey A.; Mou, Changhong; Sandu, Adrian; Iliescu, Traian 11 2021 On the discrete adjoints of adaptive time stepping algorithms. Zbl 1177.65098 Alexe, Mihai; Sandu, Adrian 10 2009 Design of high-order decoupled multirate GARK schemes. Zbl 1411.65091 Sarshar, Arash; Roberts, Steven; Sandu, Adrian 10 2019 On the properties of discrete adjoints of numerical methods for the advection equation. Zbl 1134.65057 Liu, Zheng; Sandu, Adrian 9 2008 A posteriori error estimates for the solution of variational inverse problems. Zbl 1327.65135 Rao, Vishwas; Sandu, Adrian 9 2015 An optimization framework to improve 4D-Var data assimilation system performance. Zbl 1349.90887 Cioaca, Alexandru; Sandu, Adrian 9 2014 Discrete second order adjoints in atmospheric chemical transport modeling. Zbl 1144.92043 Sandu, Adrian; Zhang, Lin 9 2008 Efficient implementation of fully implicit methods for atmospheric chemical kinetics. Zbl 0864.65047 Sandu, A.; Potra, F. A.; Carmichael, G. R.; Damian, V. 8 1996 Improved quasi-steady-state-approximation methods for atmospheric chemistry integration. Zbl 0869.65045 Jay, L. O.; Sandu, A.; Potra, F. A.; Carmichael, G. R. 8 1997 An efficient implementation of the ensemble Kalman filter based on an iterative Sherman-Morrison formula. Zbl 1331.62357 Nino Ruiz, Elias D.; Sandu, Adrian; Anderson, Jeffrey 8 2015 Parametric domain decomposition for accurate reduced order models: applications of MP-LROM methodology. Zbl 1433.65186 Stefanescu, Razvan; Moosavi, Azam; Sandu, Adrian 8 2018 Implicit multirate GARK methods. Zbl 1471.65084 Roberts, Steven; Loffeld, John; Sarshar, Arash; Woodward, Carol S.; Sandu, Adrian 8 2021 FATODE: a library for forward, adjoint, and tangent linear integration of ODEs. Zbl 1307.65104 Zhang, Hong; Sandu, Adrian 7 2014 An ensemble Kalman filter implementation based on modified Cholesky decomposition for inverse covariance matrix estimation. Zbl 1454.62278 Nino-Ruiz, Elias D.; Sandu, Adrian; Deng, Xinwei 6 2018 Forward and adjoint sensitivity analysis with continuous explicit Runge-Kutta schemes. Zbl 1159.65071 Alexe, Mihai; Sandu, Adrian 6 2009 A derivative-free trust region framework for variational data assimilation. Zbl 1326.65070 Nino Ruiz, Elias D.; Sandu, Adrian 6 2016 A time-parallel approach to strong-constraint four-dimensional variational data assimilation. Zbl 1349.62455 Rao, Vishwas; Sandu, Adrian 6 2016 Reverse automatic differentiation of linear multistep methods. Zbl 1152.65441 Sandu, Adrian 6 2008 Implicit simulation methods for stochastic chemical kinetics. Zbl 07246332 Ahn, Tae-Hyuk; Han, Xiaoying; Sandu, Adrian 6 2015 Efficient methods for computing observation impact in 4D-Var data assimilation. Zbl 1393.86018 Cioaca, Alexandru; Sandu, Adrian; de Sturler, Eric 6 2013 Space-time adaptive solution of inverse problems with the discrete adjoint method. Zbl 1349.65409 Alexe, Mihai; Sandu, Adrian 5 2014 On extrapolated multirate methods. Zbl 1220.65087 Constantinescu, Emil M.; Sandu, Adrian 5 2010 Time-stepping methods that favor positivity for atmospheric chemistry modeling. Zbl 1108.80331 Sandu, Adrian 5 2002 Application of approximate matrix factorization to high order linearly implicit Runge-Kutta methods. Zbl 1315.65067 Zhang, Hong; Sandu, Adrian; Tranquilli, Paul 5 2015 Multirate implicit Euler schemes for a class of differential-algebraic equations of index-1. Zbl 1458.65103 Hachtel, Christoph; Bartel, Andreas; Günther, Michael; Sandu, Adrian 5 2021 A numerical investigation of matrix-free implicit time-stepping methods for large CFD simulations. Zbl 1390.76688 Sarshar, Arash; Tranquilli, Paul; Pickering, Brent; McCall, Andrew; Roy, Christopher J.; Sandu, Adrian 5 2017 Predicting air quality: Improvements through advanced methods to integrate models and measurements. Zbl 1133.62373 Carmichael, Gregory R.; Sandu, Adrian; Chai, Tianfeng; Daescu, Dacian N.; Constantinescu, Emil M.; Tang, Youhua 4 2008 Efficient uncertainty quantification with the polynomial chaos method for stiff systems. Zbl 1169.65005 Cheng, Haiyan; Sandu, Adrian 4 2009 A practical method to estimate information content in the context of 4D-Var data assimilation. Zbl 1283.65009 Singh, K.; Sandu, A.; Jardak, M.; Bowman, K. W.; Lee, Meemong 4 2013 Modeling and sensitivity analysis methodology for hybrid dynamical system. Zbl 1453.93070 Corner, Sebastien; Sandu, Corina; Sandu, Adrian 4 2019 Forward, tangent linear, and adjoint Runge-Kutta methods for stiff chemical kinetic simulations. Zbl 1202.65090 Sandu, Adrian; Miehe, Philipp 4 2010 Masking resonance artifacts in force-splitting methods for biomolecular simulations by extrapolative Langevin dynamics. Zbl 0977.92012 Sandu, Adrian; Schlick, Tamar 3 1999 Multirate time discretizations for hyperbolic partial differential equations. Zbl 1182.65146 Sandu, Adrian; Constantinescu, Emil M. 3 2009 Adjoint implementation of Rosenbrock methods applied to variational data assimilation problems. Zbl 1043.76051 Daescu, Dacian; Carmichael, Gregory R.; Sandu, Adrian 3 2000 Forward, tangent linear, and adjoint Runge-Kutta methods in KPP-2.2. Zbl 1157.80405 Miehe, Philipp; Sandu, Adrian 3 2006 Multirate GARK schemes for multiphysics problems. Zbl 1387.65070 Günther, Michael; Hachtel, Christoph; Sandu, Adrian 3 2016 Robust data assimilation using \(L_1\) and Huber norms. Zbl 1368.65018 Rao, Vishwas; Sandu, Adrian; Ng, Michael; Nino-Ruiz, Elias D. 3 2017 Low-rank approximations for computing observation impact in 4D-Var data assimilation. Zbl 1368.65015 Cioaca, Alexandru; Sandu, Adrian 3 2014 Linearly implicit GARK schemes. Zbl 1475.65077 Sandu, Adrian; Günther, Michael; Roberts, Steven 3 2021 Adjoint sensitivity analysis of hybrid multibody dynamical systems. Zbl 1456.70011 Corner, Sebastien; Sandu, Adrian; Sandu, Corina 3 2020 Alternating directions implicit integration in a general linear method framework. Zbl 1458.65079 Sarshar, Arash; Roberts, Steven; Sandu, Adrian 3 2021 A unified formulation of splitting-based implicit time integration schemes. Zbl 07516837 González-Pinto, Severiano; Hernández-Abreu, Domingo; Pérez-Rodríguez, Maria S.; Sarshar, Arash; Roberts, Steven; Sandu, Adrian 3 2022 Analytical Jacobian-vector products for the matrix-free time integration of partial differential equations. Zbl 1348.65109 Tranquilli, Paul; Glandon, S. Ross; Sarshar, Arash; Sandu, Adrian 3 2017 A new look at the chemical master equation. Zbl 1291.65023 Sandu, Adrian 3 2014 Convergence results for implicit-explicit general linear methods. Zbl 1453.65167 Sandu, Adrian 3 2020 Analysis of discrete adjoints for upwind numerical schemes. Zbl 1128.86303 Liu, Zheng; Sandu, Adrian 2 2005 Modeling atmospheric chemistry and transport with dynamic adaptive resolution. Zbl 1159.86302 Constantinescu, Emil M.; Sandu, Adrian; Carmichael, Gregory R. 2 2008 Conservative high-order time integration for Lagrangian hydrodynamics. Zbl 1462.65084 Sandu, Adrian; Tomov, Vladimir; Cervena, Lenka; Kolev, Tzanio 2 2021 Efficient computation of observation impact in 4D-Var data assimilation. Zbl 1254.68096 Cioaca, Alexandru; Sandu, Adrian; De Sturler, Eric; Constantinescu, Emil 2 2012 Multirate linearly-implicit GARK schemes. Zbl 1507.65122 Günther, Michael; Sandu, Adrian 2 2022 Biorthogonal Rosenbrock-Krylov time discretization methods. Zbl 1437.65065 Glandon, Ross; Tranquilli, Paul; Sandu, Adrian 2 2020 Efficient implementation of partitioned stiff exponential Runge-Kutta methods. Zbl 1439.65079 Narayanamurthi, Mahesh; Sandu, Adrian 2 2020 Solving parameter estimation problems with discrete adjoint exponential integrators. Zbl 1401.49050 Römer, Ulrich; Narayanamurthi, Mahesh; Sandu, Adrian 2 2018 Computational aspects of chemical data assimilation into atmospheric models. Zbl 1188.86004 Carmichael, Gregory R.; Daescu, Dacian N.; Sandu, Adrian; Chai, Tianfeng 1 2003 Targeted observations for atmospheric chemistry and transport models. Zbl 1155.86312 Sandu, Adrian 1 2006 Partitioned exponential methods for coupled multiphysics systems. Zbl 1462.65130 Narayanamurthi, Mahesh; Sandu, Adrian 1 2021 Subspace adaptivity in Rosenbrock-Krylov methods for the time integration of initial value problems. Zbl 1465.65058 Tranquilli, Paul; Glandon, Ross; Sandu, Adrian 1 2021 Solving stochastic chemical kinetics by metropolis-Hastings sampling. Zbl 1463.92090 Mooasvi, Azam; Tranquilli, Paul; Sandu, Adrian 1 2016 Linearly implicit multistep methods for time integration. Zbl 1501.65024 Glandon, Steven R.; Narayanamurthi, Mahesh; Sandu, Adrian 1 2022 An error subspace perspective on data assimilation. Zbl 1498.62177 Sandu, Adrian; Cheng, Haiyan 1 2015 Parallel implicit-explicit general linear methods. Zbl 1499.65289 Roberts, Steven; Sarshar, Arash; Sandu, Adrian 1 2021 A unified formulation of splitting-based implicit time integration schemes. Zbl 07516837 González-Pinto, Severiano; Hernández-Abreu, Domingo; Pérez-Rodríguez, Maria S.; Sarshar, Arash; Roberts, Steven; Sandu, Adrian 3 2022 Multirate linearly-implicit GARK schemes. Zbl 1507.65122 Günther, Michael; Sandu, Adrian 2 2022 Linearly implicit multistep methods for time integration. Zbl 1501.65024 Glandon, Steven R.; Narayanamurthi, Mahesh; Sandu, Adrian 1 2022 A multifidelity ensemble Kalman filter with reduced order control variates. Zbl 1467.62153 Popov, Andrey A.; Mou, Changhong; Sandu, Adrian; Iliescu, Traian 11 2021 Implicit multirate GARK methods. Zbl 1471.65084 Roberts, Steven; Loffeld, John; Sarshar, Arash; Woodward, Carol S.; Sandu, Adrian 8 2021 Multirate implicit Euler schemes for a class of differential-algebraic equations of index-1. Zbl 1458.65103 Hachtel, Christoph; Bartel, Andreas; Günther, Michael; Sandu, Adrian 5 2021 Linearly implicit GARK schemes. Zbl 1475.65077 Sandu, Adrian; Günther, Michael; Roberts, Steven 3 2021 Alternating directions implicit integration in a general linear method framework. Zbl 1458.65079 Sarshar, Arash; Roberts, Steven; Sandu, Adrian 3 2021 Conservative high-order time integration for Lagrangian hydrodynamics. Zbl 1462.65084 Sandu, Adrian; Tomov, Vladimir; Cervena, Lenka; Kolev, Tzanio 2 2021 Partitioned exponential methods for coupled multiphysics systems. Zbl 1462.65130 Narayanamurthi, Mahesh; Sandu, Adrian 1 2021 Subspace adaptivity in Rosenbrock-Krylov methods for the time integration of initial value problems. Zbl 1465.65058 Tranquilli, Paul; Glandon, Ross; Sandu, Adrian 1 2021 Parallel implicit-explicit general linear methods. Zbl 1499.65289 Roberts, Steven; Sarshar, Arash; Sandu, Adrian 1 2021 Coupled multirate infinitesimal GARK schemes for stiff systems with multiple time scales. Zbl 1441.65055 Roberts, Steven; Sarshar, Arash; Sandu, Adrian 12 2020 Adjoint sensitivity analysis of hybrid multibody dynamical systems. Zbl 1456.70011 Corner, Sebastien; Sandu, Adrian; Sandu, Corina 3 2020 Convergence results for implicit-explicit general linear methods. Zbl 1453.65167 Sandu, Adrian 3 2020 Biorthogonal Rosenbrock-Krylov time discretization methods. Zbl 1437.65065 Glandon, Ross; Tranquilli, Paul; Sandu, Adrian 2 2020 Efficient implementation of partitioned stiff exponential Runge-Kutta methods. Zbl 1439.65079 Narayanamurthi, Mahesh; Sandu, Adrian 2 2020 A class of multirate infinitesimal GARK methods. Zbl 1435.65109 Sandu, Adrian 19 2019 EPIRK-\(W\) and EPIRK-\(K\) time discretization methods. Zbl 1410.65255 Narayanamurthi, Mahesh; Tranquilli, Paul; Sandu, Adrian; Tokman, Mayya 11 2019 Design of high-order decoupled multirate GARK schemes. Zbl 1411.65091 Sarshar, Arash; Roberts, Steven; Sandu, Adrian 10 2019 Modeling and sensitivity analysis methodology for hybrid dynamical system. Zbl 1453.93070 Corner, Sebastien; Sandu, Corina; Sandu, Adrian 4 2019 Parametric domain decomposition for accurate reduced order models: applications of MP-LROM methodology. Zbl 1433.65186 Stefanescu, Razvan; Moosavi, Azam; Sandu, Adrian 8 2018 An ensemble Kalman filter implementation based on modified Cholesky decomposition for inverse covariance matrix estimation. Zbl 1454.62278 Nino-Ruiz, Elias D.; Sandu, Adrian; Deng, Xinwei 6 2018 Solving parameter estimation problems with discrete adjoint exponential integrators. Zbl 1401.49050 Römer, Ulrich; Narayanamurthi, Mahesh; Sandu, Adrian 2 2018 A numerical investigation of matrix-free implicit time-stepping methods for large CFD simulations. Zbl 1390.76688 Sarshar, Arash; Tranquilli, Paul; Pickering, Brent; McCall, Andrew; Roy, Christopher J.; Sandu, Adrian 5 2017 Robust data assimilation using \(L_1\) and Huber norms. Zbl 1368.65018 Rao, Vishwas; Sandu, Adrian; Ng, Michael; Nino-Ruiz, Elias D. 3 2017 Analytical Jacobian-vector products for the matrix-free time integration of partial differential equations. Zbl 1348.65109 Tranquilli, Paul; Glandon, S. Ross; Sarshar, Arash; Sandu, Adrian 3 2017 Multirate generalized additive Runge Kutta methods. Zbl 1344.65064 Günther, Michael; Sandu, Adrian 29 2016 High order implicit-explicit general linear methods with optimized stability regions. Zbl 1337.65008 Zhang, Hong; Sandu, Adrian; Blaise, Sébastien 20 2016 A derivative-free trust region framework for variational data assimilation. Zbl 1326.65070 Nino Ruiz, Elias D.; Sandu, Adrian 6 2016 A time-parallel approach to strong-constraint four-dimensional variational data assimilation. Zbl 1349.62455 Rao, Vishwas; Sandu, Adrian 6 2016 Multirate GARK schemes for multiphysics problems. Zbl 1387.65070 Günther, Michael; Hachtel, Christoph; Sandu, Adrian 3 2016 Solving stochastic chemical kinetics by metropolis-Hastings sampling. Zbl 1463.92090 Mooasvi, Azam; Tranquilli, Paul; Sandu, Adrian 1 2016 POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation. Zbl 1349.76535 Ştefănescu, R.; Sandu, A.; Navon, I. M. 35 2015 A generalized-structure approach to additive Runge-Kutta methods. Zbl 1327.65132 Sandu, Adrian; Günther, Michael 33 2015 A class of implicit-explicit two-step Runge-Kutta methods. Zbl 1327.65133 Zharovsky, Evgeniy; Sandu, Adrian; Zhang, Hong 26 2015 Construction of highly stable implicit-explicit general linear methods. Zbl 1335.65060 Zhang, Hong; Sandu, Adrian; Jackiewicz, Zdzisław; Cardone, Angelamaria 17 2015 A posteriori error estimates for the solution of variational inverse problems. Zbl 1327.65135 Rao, Vishwas; Sandu, Adrian 9 2015 An efficient implementation of the ensemble Kalman filter based on an iterative Sherman-Morrison formula. Zbl 1331.62357 Nino Ruiz, Elias D.; Sandu, Adrian; Anderson, Jeffrey 8 2015 Implicit simulation methods for stochastic chemical kinetics. Zbl 07246332 Ahn, Tae-Hyuk; Han, Xiaoying; Sandu, Adrian 6 2015 Application of approximate matrix factorization to high order linearly implicit Runge-Kutta methods. Zbl 1315.65067 Zhang, Hong; Sandu, Adrian; Tranquilli, Paul 5 2015 An error subspace perspective on data assimilation. Zbl 1498.62177 Sandu, Adrian; Cheng, Haiyan 1 2015 Partitioned and implicit-explicit general linear methods for ordinary differential equations. Zbl 1308.65122 Zhang, Hong; Sandu, Adrian; Blaise, Sebastien 44 2014 Extrapolation-based implicit-explicit general linear methods. Zbl 1291.65217 Cardone, Angelamaria; Jackiewicz, Zdzislaw; Sandu, Adrian; Zhang, Hong 40 2014 Extrapolated implicit-explicit Runge-Kutta methods. Zbl 1488.65174 Cardone, Angelamaria; Jackiewicz, Zdzisław; Sandu, Adrian; Zhang, Hong 17 2014 Rosenbrock-Krylov methods for large systems of differential equations. Zbl 1320.65108 Tranquilli, Paul; Sandu, Adrian 16 2014 Exponential-Krylov methods for ordinary differential equations. Zbl 1349.65228 Tranquilli, Paul; Sandu, Adrian 11 2014 An optimization framework to improve 4D-Var data assimilation system performance. Zbl 1349.90887 Cioaca, Alexandru; Sandu, Adrian 9 2014 FATODE: a library for forward, adjoint, and tangent linear integration of ODEs. Zbl 1307.65104 Zhang, Hong; Sandu, Adrian 7 2014 Space-time adaptive solution of inverse problems with the discrete adjoint method. Zbl 1349.65409 Alexe, Mihai; Sandu, Adrian 5 2014 Low-rank approximations for computing observation impact in 4D-Var data assimilation. Zbl 1368.65015 Cioaca, Alexandru; Sandu, Adrian 3 2014 A new look at the chemical master equation. Zbl 1291.65023 Sandu, Adrian 3 2014 Extrapolated multirate methods for differential equations with multiple time scales. Zbl 1269.65069 Constantinescu, Emil M.; Sandu, Adrian 20 2013 Efficient methods for computing observation impact in 4D-Var data assimilation. Zbl 1393.86018 Cioaca, Alexandru; Sandu, Adrian; de Sturler, Eric 6 2013 A practical method to estimate information content in the context of 4D-Var data assimilation. Zbl 1283.65009 Singh, K.; Sandu, A.; Jardak, M.; Bowman, K. W.; Lee, Meemong 4 2013 Second-order adjoints for solving PDE-constrained optimization problems. Zbl 1260.49060 Cioaca, Alexandru; Alexe, Mihai; Sandu, Adrian 13 2012 Efficient computation of observation impact in 4D-Var data assimilation. Zbl 1254.68096 Cioaca, Alexandru; Sandu, Adrian; De Sturler, Eric; Constantinescu, Emil 2 2012 Extrapolated implicit-explicit time stepping. Zbl 1209.65069 Constantinescu, Emil M.; Sandu, Adrian 31 2010 Optimal explicit strong-stability-preserving general linear methods. Zbl 1217.65179 Constantinescu, Emil M.; Sandu, Adrian 25 2010 On extrapolated multirate methods. Zbl 1220.65087 Constantinescu, Emil M.; Sandu, Adrian 5 2010 Forward, tangent linear, and adjoint Runge-Kutta methods for stiff chemical kinetic simulations. Zbl 1202.65090 Sandu, Adrian; Miehe, Philipp 4 2010 Multirate explicit Adams methods for time integration of conservation laws. Zbl 1203.65112 Sandu, Adrian; Constantinescu, Emil M. 26 2009 Parameter estimation for mechanical systems via an explicit representation of uncertainty. Zbl 1303.93165 Blanchard, Emmanuel; Sandu, Adrian; Sandu, Corina 11 2009 On the discrete adjoints of adaptive time stepping algorithms. Zbl 1177.65098 Alexe, Mihai; Sandu, Adrian 10 2009 Forward and adjoint sensitivity analysis with continuous explicit Runge-Kutta schemes. Zbl 1159.65071 Alexe, Mihai; Sandu, Adrian 6 2009 Efficient uncertainty quantification with the polynomial chaos method for stiff systems. Zbl 1169.65005 Cheng, Haiyan; Sandu, Adrian 4 2009 Multirate time discretizations for hyperbolic partial differential equations. Zbl 1182.65146 Sandu, Adrian; Constantinescu, Emil M. 3 2009 On the properties of discrete adjoints of numerical methods for the advection equation. Zbl 1134.65057 Liu, Zheng; Sandu, Adrian 9 2008 Discrete second order adjoints in atmospheric chemical transport modeling. Zbl 1144.92043 Sandu, Adrian; Zhang, Lin 9 2008 Reverse automatic differentiation of linear multistep methods. Zbl 1152.65441 Sandu, Adrian 6 2008 Predicting air quality: Improvements through advanced methods to integrate models and measurements. Zbl 1133.62373 Carmichael, Gregory R.; Sandu, Adrian; Chai, Tianfeng; Daescu, Dacian N.; Constantinescu, Emil M.; Tang, Youhua 4 2008 Modeling atmospheric chemistry and transport with dynamic adaptive resolution. Zbl 1159.86302 Constantinescu, Emil M.; Sandu, Adrian; Carmichael, Gregory R. 2 2008 Multirate timestepping methods for hyperbolic conservation laws. Zbl 1127.76033 Constantinescu, Emil M.; Sandu, Adrian 68 2007 Modeling multibody systems with uncertainties. II: Numerical applications. Zbl 1146.70331 Sandu, Corina; Sandu, Adrian; Ahmadian, Mehdi 17 2006 Modeling multibody systems with uncertainties. I: Theoretical and computational aspects. Zbl 1146.70330 Sandu, Adrian; Sandu, Corina; Ahmadian, Mehdi 14 2006 On the properties of Runge-Kutta discrete adjoints. Zbl 1157.65421 Sandu, Adrian 13 2006 Forward, tangent linear, and adjoint Runge-Kutta methods in KPP-2.2. Zbl 1157.80405 Miehe, Philipp; Sandu, Adrian 3 2006 Targeted observations for atmospheric chemistry and transport models. Zbl 1155.86312 Sandu, Adrian 1 2006 Adjoint sensitivity analysis of regional air quality models. Zbl 1061.92061 Sandu, Adrian; Daescu, Dacian N.; Carmichael, Gregory R.; Chai, Tianfeng 20 2005 Analysis of discrete adjoints for upwind numerical schemes. Zbl 1128.86303 Liu, Zheng; Sandu, Adrian 2 2005 A framework for the numerical treatment of aerosol dynamics. Zbl 1022.76040 Sandu, Adrian; Borden, Christian 14 2003 Computational aspects of chemical data assimilation into atmospheric models. Zbl 1188.86004 Carmichael, Gregory R.; Daescu, Dacian N.; Sandu, Adrian; Chai, Tianfeng 1 2003 Time-stepping methods that favor positivity for atmospheric chemistry modeling. Zbl 1108.80331 Sandu, Adrian 5 2002 Positive numerical integration methods for chemical kinetic systems. Zbl 0984.65070 Sandu, Adrian 16 2001 Adjoint implementation of Rosenbrock methods applied to variational data assimilation problems. Zbl 1043.76051 Daescu, Dacian; Carmichael, Gregory R.; Sandu, Adrian 3 2000 Masking resonance artifacts in force-splitting methods for biomolecular simulations by extrapolative Langevin dynamics. Zbl 0977.92012 Sandu, Adrian; Schlick, Tamar 3 1999 Improved quasi-steady-state-approximation methods for atmospheric chemistry integration. Zbl 0869.65045 Jay, L. O.; Sandu, A.; Potra, F. A.; Carmichael, G. R. 8 1997 Efficient implementation of fully implicit methods for atmospheric chemical kinetics. Zbl 0864.65047 Sandu, A.; Potra, F. A.; Carmichael, G. R.; Damian, V. 8 1996 all cited Publications top 5 cited Publications all top 5 Cited by 787 Authors 58 Sandu, Adrian 16 Jackiewicz, Zdzislaw 13 Constantinescu, Emil M. 11 Izzo, Giuseppe 9 Sarshar, Arash 8 Abdi, Ali 8 Navon, Ionel Michael 8 Nino-Ruiz, Elias David 8 Roberts, Steven P. 7 Meister, Andreas 7 Moradi, Afsaneh 7 Tranquilli, Paul 7 Weiner, Rüdiger 7 Zhang, Hong 6 Fang, Fangxin 6 Hojjati, Gholamreza 6 Iliescu, Traian 6 Lang, Jens 5 Buvoli, Tommaso 5 Cardone, Angelamaria 5 Carmichael, Gregory R. 5 Günther, Michael 5 Jadamba, Baasansuren 5 Khan, Akhtar Ali 5 Kopecz, Stefan 5 Narayanamurthi, Mahesh 5 Pain, Christopher C. 5 Reynolds, Daniel R. 5 Sama, Miguel 5 Wang, Zhu 4 Alexe, Mihai 4 Cioaca, Alexandru 4 Dawson, Clint N. 4 Ju, Lili 4 Ketcheson, David I. 4 Knoth, Oswald 4 Leung, Wingtat 4 Liang, Dong 4 Luan, Vu Thai 4 Rao, Vishwas 4 Sandu, Corina 4 Sportisse, Bruno 4 Tempone, Raúl F. 4 Wang, Yuepeng 4 Wu, Jinglai 3 Arcucci, Rossella 3 Batou, Anas 3 Ben Hammouda, Chiheb 3 Braś, Michał 3 Chaturantabut, Saifon 3 Chaudhry, Jehanzeb Hameed 3 Cheng, Sibo 3 Chinomona, Rujeko 3 Cui, Ming 3 Daescu, Dacian N. 3 Debry, Edouard 3 Farzi, Javad 3 Gottlieb, Sigal 3 Grant, Zachary J. 3 Grote, Marcus J. 3 Guo, Yike 3 Hernandez-Abreu, Domingo 3 Herty, Michael Matthias 3 Hundsdorfer, Willem H. 3 Jando, Dörte 3 Kang, Shinhoo 3 Karakuş, Ali 3 Lee, June-Yub 3 Leng, Wei 3 Lin, Guang 3 Luo, Zhen 3 Mattheij, Robert M. M. 3 Mehlin, Michaela 3 Mergia, Woinshet D. 3 Minion, Michael L. 3 Mou, Changhong 3 Patidar, Kailash C. 3 Rebholz, Leo G. 3 Schneider, Moritz 3 Schütz, Jochen 3 Shin, Jaemin 3 Spiteri, Raymond J. 3 Stück, Arthur 3 Tokman, Mayya 3 Verwer, Jan G. 3 Warburton, Timothy 3 Wolke, Ralf 3 Xiao, Dunhui 3 Zhang, Nong 2 Abdulle, Assyr 2 Ahmadian, Mehdi 2 Aksel, Mehmet Haluk 2 Ardila, Carlos 2 Ávila, Andrés I. 2 Banda, Mapundi Kondwani 2 Baptista, Ricardo 2 Bartel, Andreas 2 Ben Rached, Nadhir 2 Bhakta, Tuhin 2 Blaise, Sébastien ...and 687 more Authors all top 5 Cited in 94 Serials 79 Journal of Computational Physics 39 Applied Numerical Mathematics 34 Journal of Computational and Applied Mathematics 32 SIAM Journal on Scientific Computing 29 Journal of Scientific Computing 23 Computer Methods in Applied Mechanics and Engineering 13 Multibody System Dynamics 12 Applied Mathematics and Computation 11 Computers & Mathematics with Applications 7 Numerical Algorithms 7 SIAM/ASA Journal on Uncertainty Quantification 6 Computers and Fluids 6 Computational Geosciences 5 International Journal for Numerical Methods in Engineering 5 Applied Mathematical Modelling 4 Mathematics and Computers in Simulation 4 Computational and Applied Mathematics 4 Nonlinear Dynamics 4 Communications in Nonlinear Science and Numerical Simulation 3 Computer Physics Communications 3 Journal of Fluid Mechanics 3 Mathematics of Computation 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Advances in Computational Mathematics 3 Statistics and Computing 3 Communications on Applied Mathematics and Computation 2 Bulletin of the Iranian Mathematical Society 2 Applied Mathematics Letters 2 International Journal of Computer Mathematics 2 SIAM Review 2 Computational Optimization and Applications 2 International Journal of Computational Fluid Dynamics 2 Optimization Methods & Software 2 European Journal of Mechanics. A. Solids 2 Optimization and Engineering 2 Mathematical Modelling and Analysis 2 Journal of Applied Mathematics 2 Thai Journal of Mathematics 2 Communications in Applied Mathematics and Computational Science 2 Mathematical Geosciences 2 Journal of Computational Dynamics 1 Acta Mechanica 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 Automatica 1 BIT 1 Computing 1 Journal of the American Statistical Association 1 Matematički Vesnik 1 Meccanica 1 Quaestiones Mathematicae 1 Systems & Control Letters 1 Journal of Computational Mathematics 1 Optimization 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Journal of Convex Analysis 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 European Journal of Control 1 Soft Computing 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Chaos 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Engineering Computations 1 Combustion Theory and Modelling 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Archives of Computational Methods in Engineering 1 Journal of Machine Learning Research (JMLR) 1 Journal of Numerical Mathematics 1 Acta Numerica 1 Boundary Value Problems 1 Journal of Industrial and Management Optimization 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Inverse Problems in Science and Engineering 1 GAMM-Mitteilungen 1 Communications in Computational Physics 1 Nonlinear Analysis. Hybrid Systems 1 Mathematical Modelling of Natural Phenomena 1 Advances in Applied Mathematics and Mechanics 1 GEM - International Journal on Geomathematics 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Journal of Applied Analysis and Computation 1 Axioms 1 Journal of Nonlinear and Variational Analysis 1 SMAI Journal of Computational Mathematics 1 Environmetrics 1 Journal of Computational Physics: X all top 5 Cited in 25 Fields 339 Numerical analysis (65-XX) 95 Fluid mechanics (76-XX) 72 Partial differential equations (35-XX) 47 Ordinary differential equations (34-XX) 37 Biology and other natural sciences (92-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 34 Geophysics (86-XX) 33 Statistics (62-XX) 26 Mechanics of particles and systems (70-XX) 22 Mechanics of deformable solids (74-XX) 19 Probability theory and stochastic processes (60-XX) 17 Systems theory; control (93-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Classical thermodynamics, heat transfer (80-XX) 11 Operations research, mathematical programming (90-XX) 10 Computer science (68-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral equations (45-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Special functions (33-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year