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

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[DOI: 10.1685/] About DOI

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





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