Uppsala University Department of Information Technology

Technical Report 2003-013

Stable Artificial Dissipation Operators for High Order Finite Difference Schemes

Ken Mattsson, Magnus Svärd, and Jan Nordström

February 2003

Abstract:
Stability for nonlinear convection problems using centered difference schemes require the addition of artificial dissipation. In this paper we present dissipation operators that preserve both stability and accuracy for high order finite difference approximations of initial boundary value problems.

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