High order numerical methods

# High order numerical methods

Working group: R.Borsche, J. Kall, F. Schneider

Cooperations: G. Alldredge (Aachen)

Funding: Center for Mathematical and Computational Modelling (CMCM)

This research aims at finding high order numerical methods for (partial) differential equations. In general, high order methods allow a very efficient solution of smooth problems. Even though the computational effort given a fixed grid is usually increasing with the approximation order, the effort to achieve a given error tolerance with a lower order scheme on a finer grid is typically much higher.

We investigate different types of high order schemes:

• Finite volume schemes using reconstruction techniques (e.g. WENO reconstruction)
• Evolution methods (e.g. Discontinuous Galerkin method)

More information and Matlab scripts can be found in the corresponding subsections.