Implicit-Explicit Runge-Kutta schemes for hyperbolic systems with stiff relaxation and applications
Numerical Analysis
2013-06-21 v1
Abstract
In this paper we give an overview of Implicit-Explicit Runge-Kutta schemes applied to hyperbolic systems with stiff relaxation. In particular, we focus on some recent results on the uniform accuracy for hyperbolic systems with stiff relaxation [6], and hyperbolic system with diffusive relaxation [7, 5, 4]. In the latter case, we present an original application to a model problem arising in Extended Thermodynamics.
Cite
@article{arxiv.1306.4926,
title = {Implicit-Explicit Runge-Kutta schemes for hyperbolic systems with stiff relaxation and applications},
author = {Sebastiano Boscarino and Giovanni Russo},
journal= {arXiv preprint arXiv:1306.4926},
year = {2013}
}
Comments
19 pages