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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)…
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…
math.NA2025
Efficient and Flexible Multirate Temporal Adaptivity
Daniel R. Reynolds, Sylvia Amihere, Dashon Mitchell +1
In this work we present two new families of multirate time step adaptivity controllers, that are designed to work with embedded multirate infinitesimal (MRI) time integration metho…