Implicit Extensions of an Explicit Multirate Runge-Kutta Scheme
Numerical Analysis
2021-12-21 v1 Numerical Analysis
Abstract
We propose a new method that extends conservative explicit multirate methods to implicit explicit-multirate methods. We develop extensions of order one and two with different stability properties on the implicit side. The method is suitable for time-stepping adaptive mesh refinement PDE discretizations with different degrees of stiffness. A numerical example with an advection-diffusion problem illustrates the new method's properties.
Cite
@article{arxiv.2112.10568,
title = {Implicit Extensions of an Explicit Multirate Runge-Kutta Scheme},
author = {Emil M. Constantinescu},
journal= {arXiv preprint arXiv:2112.10568},
year = {2021}
}