869 citations · 1.4k across the 20 of their papers we have counts for
21 papers
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…
Implicit-Explicit Multirate Infinitesimal Stage-Restart Methods
Alex C. Fish, Daniel R. Reynolds, Steven B. Roberts
Implicit-Explicit (IMEX) methods are flexible numerical time integration methods which solve an initial-value problem (IVP) that is partitioned into stiff and nonstiff processes wi…
Performance of explicit and IMEX MRI multirate methods on complex reactive flow problems within modern parallel adaptive structured grid frameworks
John J. Loffeld, Andy Nonaka, Daniel R. Reynolds +2
Large-scale multiphysics simulations are computationally challenging due to the coupling of multiple processes with widely disparate time scales. The advent of exascale computing s…
ARKODE: a flexible IVP solver infrastructure for one-step methods
Daniel R. Reynolds, David J. Gardner, Carol S. Woodward +1
We describe the ARKODE library of one-step time integration methods for ordinary differential equation (ODE) initial-value problems (IVPs). In addition to providing standard explic…
Adaptive time step control for multirate infinitesimal methods
Alex C. Fish, Daniel R. Reynolds
Multirate methods have been used for decades to temporally evolve initial-value problems in which different components evolve on distinct time scales, and thus use of different ste…
Multirate Exponential Rosenbrock Methods
Vu Thai Luan, Rujeko Chinomona, Daniel R. Reynolds
In this paper we propose a novel class of methods for high order accurate integration of multirate systems of ordinary differential equation initial-value problems. The proposed me…