Steven B. Roberts

26 papers Journal 25Unranked 1
YearRankTypeTitle / Venue / Authors
2026 J jnl
Leveraging higher-order time integration methods for improved computational efficiency in a rainshaft model.
CoRR
Justin Dong, Sean P. Santos, Steven B. Roberts, Christopher J. Vogl, Carol S. Woodward
2026 J jnl
New Time Integrators and Capabilities in SUNDIALS Versions 6.2.0-7.4.0.
ACM Trans. Math. Softw.
Steven B. Roberts, Mustafa Aggül, Daniel R. Reynolds, Cody J. Balos, David J. Gardner, Carol S. Woodward
2025 J jnl
Explicit Runge-Kutta Methods that Alleviate Order Reduction.
SIAM J. Numer. Anal.
Abhijit Biswas, David I. Ketcheson, Steven B. Roberts, Benjamin Seibold, David Shirokoff
2025 J jnl
Moment-based adaptive time integration for thermal radiation transport.
CoRR
Ben S. Southworth, Steven Walton, Steven B. Roberts, HyeongKae Park
2025 J jnl
Moment-based adaptive time integration for thermal radiation transport.
J. Comput. Phys.
Ben S. Southworth, Steven Walton, Steven B. Roberts, HyeongKae Park
2025 J jnl
New Time Integrators and Capabilities in SUNDIALS Versions 6.2.0-7.4.0.
CoRR
Steven B. Roberts, Mustafa Aggül, Daniel R. Reynolds, Cody J. Balos, David J. Gardner, Carol S. Woodward
2025 J jnl
Runge-Kutta Methods and Stiff Order Conditions for Semilinear ODEs.
CoRR
Steven B. Roberts, David Shirokoff, Abhijit Biswas, Benjamin Seibold
2024 J jnl
Implicit-explicit multirate infinitesimal stage-restart methods.
J. Comput. Appl. Math.
Alex C. Fish, Daniel R. Reynolds, Steven B. Roberts
2023 J jnl
Implicit-Explicit Multirate Infinitesimal Stage-Restart Methods.
CoRR
Alex C. Fish, Daniel R. Reynolds, Steven B. Roberts
2023 — conf
Leveraging Mixed Precision in Exponential Time Integration Methods.
HPEC
Cody J. Balos, Steven B. Roberts, David J. Gardner
2023 J jnl
Leveraging Mixed Precision in Exponential Time Integration Methods.
CoRR
Cody J. Balos, Steven B. Roberts, David J. Gardner
2022 J jnl
A Fast Time-Stepping Strategy for Dynamical Systems Equipped with a Surrogate Model.
SIAM J. Sci. Comput.
Steven B. Roberts, Andrey A. Popov, Arash Sarshar, Adrian Sandu
2022 J jnl
A unified formulation of splitting-based implicit time integration schemes.
J. Comput. Phys.
Severiano González-Pinto, Domingo Hernández-Abreu, Maria Soledad Pérez-Rodríguez, Arash Sarshar, Steven B. Roberts, Adrian Sandu
2022 J jnl
Eliminating Order Reduction on Linear, Time-Dependent ODEs with GARK Methods.
CoRR
Steven B. Roberts, Adrian Sandu
2021 J jnl
A unified formulation of splitting-based implicit time integration schemes.
CoRR
Severiano González-Pinto, Domingo Hernández-Abreu, Maria Soledad Pérez-Rodríguez, Arash Sarshar, Steven B. Roberts, Adrian Sandu
2021 J jnl
Alternating directions implicit integration in a general linear method framework.
J. Comput. Appl. Math.
Arash Sarshar, Steven B. Roberts, Adrian Sandu
2021 J jnl
Implicit Multirate GARK Methods.
J. Sci. Comput.
Steven B. Roberts, John Loffeld, Arash Sarshar, Carol S. Woodward, Adrian Sandu
2020 J jnl
A fast time-stepping strategy for ODE systems equipped with a surrogate model.
CoRR
Steven B. Roberts, Andrey A. Popov, Arash Sarshar, Adrian Sandu
2020 J jnl
Coupled Multirate Infinitesimal GARK Schemes for Stiff Systems with Multiple Time Scales.
SIAM J. Sci. Comput.
Steven B. Roberts, Arash Sarshar, Adrian Sandu
2020 J jnl
Linearly implicit GARK schemes.
CoRR
Adrian Sandu, Michael Günther, Steven B. Roberts
2020 J jnl
Parallel implicit-explicit general linear methods.
CoRR
Steven B. Roberts, Arash Sarshar, Adrian Sandu
2019 J jnl
Design of High-Order Decoupled Multirate GARK Schemes.
SIAM J. Sci. Comput.
Arash Sarshar, Steven B. Roberts, Adrian Sandu
2019 J jnl
Implicit multirate GARK methods.
CoRR
Steven B. Roberts, John Loffeld, Arash Sarshar, Carol S. Woodward, Adrian Sandu
2019 J jnl
ODE Test Problems: a MATLAB suite of initial value problems.
CoRR
Steven B. Roberts, Andrey A. Popov, Adrian Sandu
2018 J jnl
Coupled Multirate Infinitesimal GARK Schemes for Stiff Systems with Multiple Time Scales.
CoRR
Steven B. Roberts, Arash Sarshar, Adrian Sandu
2018 J jnl
Design of High-Order Decoupled Multirate GARK Schemes.
CoRR
Arash Sarshar, Steven B. Roberts, Adrian Sandu