New Time Integrators and Capabilities in SUNDIALS Versions 6.2.0-7.4.0

Fuente: arXiv
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Bibliographic Details
Main Authors: Roberts, Steven B., Ağgül, Mustafa, Reynolds, Daniel R., Balos, Cody J., Gardner, David J., Woodward, Carol S.
Format: Preprint
Published: 2025
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author Roberts, Steven B.
Ağgül, Mustafa
Reynolds, Daniel R.
Balos, Cody J.
Gardner, David J.
Woodward, Carol S.
author_facet Roberts, Steven B.
Ağgül, Mustafa
Reynolds, Daniel R.
Balos, Cody J.
Gardner, David J.
Woodward, Carol S.
contents SUNDIALS is a well-established numerical library that provides robust and efficient time integrators and nonlinear solvers. This paper overviews several significant improvements and new features added over the last three years to support scientific simulations run on high-performance computing systems. Notably, three new classes of one-step methods have been implemented: low storage Runge-Kutta, symplectic partitioned Runge-Kutta, and operator splitting. In addition, we describe new time step adaptivity support for multirate methods, adjoint sensitivity analysis capabilities for explicit Runge-Kutta methods, additional options for Anderson acceleration in nonlinear solvers, and improved error handling and logging.
format Preprint
id arxiv_https___arxiv_org_abs_2506_14976
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle New Time Integrators and Capabilities in SUNDIALS Versions 6.2.0-7.4.0
Roberts, Steven B.
Ağgül, Mustafa
Reynolds, Daniel R.
Balos, Cody J.
Gardner, David J.
Woodward, Carol S.
Mathematical Software
SUNDIALS is a well-established numerical library that provides robust and efficient time integrators and nonlinear solvers. This paper overviews several significant improvements and new features added over the last three years to support scientific simulations run on high-performance computing systems. Notably, three new classes of one-step methods have been implemented: low storage Runge-Kutta, symplectic partitioned Runge-Kutta, and operator splitting. In addition, we describe new time step adaptivity support for multirate methods, adjoint sensitivity analysis capabilities for explicit Runge-Kutta methods, additional options for Anderson acceleration in nonlinear solvers, and improved error handling and logging.
title New Time Integrators and Capabilities in SUNDIALS Versions 6.2.0-7.4.0
topic Mathematical Software
url https://arxiv.org/abs/2506.14976