Design of high-order decoupled multirate GARK schemes A Sarshar, S Roberts, A Sandu SIAM Journal on Scientific Computing 41 (2), A816-A847, 2019 | 36 | 2019 |
Coupled multirate infinitesimal GARK schemes for stiff systems with multiple time scales S Roberts, A Sarshar, A Sandu SIAM Journal on Scientific Computing 42 (3), A1609-A1638, 2020 | 29 | 2020 |
ODE test problems: a MATLAB suite of initial value problems S Roberts, AA Popov, A Sandu arXiv preprint arXiv:1901.04098, 2019 | 27 | 2019 |
Implicit multirate GARK methods S Roberts, J Loffeld, A Sarshar, CS Woodward, A Sandu Journal of Scientific Computing 87 (1), 1-32, 2021 | 25 | 2021 |
A unified formulation of splitting-based implicit time integration schemes S González-Pinto, D Hernández-Abreu, MS Pérez-Rodríguez, A Sarshar, ... Journal of Computational Physics 448, 110766, 2022 | 9 | 2022 |
Linearly implicit GARK schemes A Sandu, M Günther, S Roberts Applied Numerical Mathematics 161, 286-310, 2021 | 9 | 2021 |
Alternating directions implicit integration in a general linear method framework A Sarshar, S Roberts, A Sandu Journal of Computational and Applied Mathematics 387, 112619, 2021 | 8 | 2021 |
Parallel implicit-explicit general linear methods S Roberts, A Sarshar, A Sandu Communications on Applied Mathematics and Computation 3 (4), 649-669, 2021 | 6 | 2021 |
Explicit Runge Kutta Methods that Alleviate Order Reduction A Biswas, DI Ketcheson, S Roberts, B Seibold, D Shirokoff arXiv preprint arXiv:2310.02817, 2023 | 4 | 2023 |
Eliminating order reduction on linear, time-dependent ODEs with GARK methods S Roberts, A Sandu arXiv preprint arXiv:2201.07940, 2022 | 4 | 2022 |
Leveraging mixed precision in exponential time integration methods CJ Balos, S Roberts, DJ Gardner 2023 IEEE High Performance Extreme Computing Conference (HPEC), 1-8, 2023 | 3 | 2023 |
Multimethods for the efficient solution of multiscale differential equations SB Roberts Virginia Tech, 2021 | 3 | 2021 |
A fast time-stepping strategy for dynamical systems equipped with a surrogate model S Roberts, AA Popov, A Sarshar, A Sandu SIAM Journal on Scientific Computing 44 (3), A1405-A1427, 2022 | 2 | 2022 |
Implicit–explicit multirate infinitesimal stage-restart methods AC Fish, DR Reynolds, SB Roberts Journal of Computational and Applied Mathematics 438, 115534, 2024 | 1 | 2024 |
Moment-based adaptive time integration for thermal radiation transport BS Southworth, S Walton, SB Roberts, HK Park arXiv preprint arXiv:2501.17301, 2025 | | 2025 |
Exploring High Order Time Integrators for Cloud Microphysics SB Roberts, J Dong, SP Santos, CJ Vogl, CS Woodward AGU24, 2024 | | 2024 |
The SUNDIALS Time Integration Library and Its Use in Earth System Models CS Woodward, C Balos, DJ Gardner, DR Reynolds, SB Roberts AGU24, 2024 | | 2024 |
Error Analysis of Single and Multi-rate Temporal Coupling Approaches in a Simplified Aerosol System BA Hyatt, CJ Vogl, S Roberts, CS Woodward AGU24, 2024 | | 2024 |
Impacts of improved time evolution in BISICLES using SUNDIALS DF Martin, SB Roberts, H Johansen, DJ Gardner, CS Woodward AGU23, 2023 | | 2023 |
How to select from multiple coupling approaches using theoretical error analysis, with application to aerosol lifecycle in EAM C Vogl, H Wan, CS Woodward, SB Roberts AGU Fall Meeting Abstracts 2022, A35O-1668, 2022 | | 2022 |