869 citations · 1.4k across the 20 of their papers we have counts for
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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…
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…
Implicit-explicit multirate infinitesimal GARK methods
Rujeko Chinomona, Daniel R. Reynolds
This work focuses on the development of a new class of high-order accurate methods for multirate time integration of systems of ordinary differential equations. Unlike other recent…