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

Invited Talk

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Energy-preserving compact difference schemes for nonlinear wave equations

T. Matsuo

For the nonlinear wave equations such as the KdV equation, energy-preserving schemes are preferable whenever that is possible, and there are several systematic ways for constructing such schemes. On the other hand, mainly in numerical fluid dynamics, it is quite common to employ special difference operators, called compact difference operators, which replicate the original dispersion relation as good as possible for better wave propagations. In this talk, we first show that these two techniques can be combined to construct energy-preserving compact difference schemes. Then we point out that such combination becomes quite nontrivial, when we seek for better compact difference schemes with narrow stencils. This is a joint work with T. Yaguchi and H. Kanazawa.

Organized by         Universidad de Valladolid     IMUVA