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Error Analysis of Explicit Partitioned Runge–Kutta Schemes for Conservation Laws

Research paper by Willem Hundsdorfer, David I. Ketcheson, Igor Savostianov

Indexed on: 27 Aug '14Published on: 27 Aug '14Published in: Journal of Scientific Computing



Abstract

An error analysis is presented for explicit partitioned Runge–Kutta methods and multirate methods applied to conservation laws. The interfaces, across which different methods or time steps are used, lead to order reduction of the schemes. Along with cell-based decompositions, also flux-based decompositions are studied. In the latter case mass conservation is guaranteed, but it will be seen that the accuracy may deteriorate.