English

A better method to determine the stability region of an L-stable implicit-explicit Runge-Kutta scheme

Numerical Analysis 2016-06-03 v1

Abstract

We propose a better method to determine the stability region of an L-stable implicit-explicit Runge-Kutta scheme. This method always provides the correct result, while other methods sometimes give wrong result. It is useful in the analysis for implicit-explicit Runge-Kutta schemes. Keywords: Stability region, Implicit-explicit (IMEX) scheme

Keywords

Cite

@article{arxiv.1606.00591,
  title  = {A better method to determine the stability region of an L-stable implicit-explicit Runge-Kutta scheme},
  author = {Shu-Chao Duan},
  journal= {arXiv preprint arXiv:1606.00591},
  year   = {2016}
}