On the Uniform Accuracy of IMEX Runge-Kutta Schemes and Applications to Hyperbolic Systems with Relaxation

Sebastiano Boscarino, Giovanni Russo

Abstract


In this paper we consider new Implicit-Explicit (IMEX) Runge-Kutta schemes for hyperbolic systems of conservation laws with stiff relaxation terms. The schemes were obtained by imposing additional order conditions to guarantee better accuracy over a wide range of the stiffness parameter ε. Numerical comparisons of the new schemes with some other schemes confirm an improvement of the accuracy for small values of ε.


[DOI: 10.1685 / CSC06028] About DOI

Full Text:



[DOI: 10.1685/] About DOI

Url Resolver: : http://dx.doi.org/10.1685/




Creative Commons License   Except where otherwise noted, content on this site is
  licensed under a Creative Commons 2.5 Italy License