2015
Error Analysis of Explicit Partitioned Runge-Kutta Schemes for Conservation Laws
Publication
Publication
Journal of Scientific Computing , Volume 63 p. 633- 653
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.
Additional Metadata | |
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Springer | |
doi.org/10.1007/s10915-014-9906-1 | |
Journal of Scientific Computing | |
Organisation | Multiscale Dynamics |
Hundsdorfer, W., Ketcheson, D. I., & Savostianov, I. (2015). Error Analysis of Explicit Partitioned Runge-Kutta Schemes for Conservation Laws. Journal of Scientific Computing, 63, 633–653. doi:10.1007/s10915-014-9906-1 |