3 papers
math.NA2026
Implicit-explicit and split-explicit super-time-stepping methods
Daniel R. Reynolds, Sylvia Amihere, Mustafa Aggul
Multiphysics initial-value problems couple processes with distinct stability properties, such as advection, diffusion, and stiff local reactions. Standard implicit-explicit (ImEx)…
cs.MS2026
New Time Integrators and Capabilities in SUNDIALS Versions 6.2.0-7.4.0
Steven B. Roberts, Mustafa AÄgül, Daniel R. Reynolds +3
SUNDIALS is a well-established numerical library that provides robust and efficient time integrators and nonlinear solvers. This paper overviews several significant improvements an…
math.NA2026
Super Time Stepping Methods for Diffusion using Discontinuous-Galerkin Spatial Discretizations
Mustafa Aggul, Manaure Francisquez, Daniel R. Reynolds +1
Super-time-stepping (STS) methods provide an attractive approach for enabling explicit time integration of parabolic operators, particularly in large-scale, higher-dimensional kine…