SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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Integral preserving methods on moving grids

B. Owren and S. Eidnes

Abstract
Integral preserving schemes for ODEs can be derived by means of for instance discrete gradient methods. For PDEs, one may first discretize in space by e.g. finite differences and then apply an integral preserving method for the corresponding ODEs. For PDEs discretized on moving grids, the situation is more complicated, it is not even clear exactly what we mean by an integral preserving scheme in this setting. In this talk we propose a definition and then we derive a way to preserve integrals according to this definition. We show numerical examples for the KDV and BBM partial differential equations.

Organized by         Universidad de Valladolid     IMUVA