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.
|Original language||English (US)|
|Number of pages||21|
|Journal||Journal of Scientific Computing|
|State||Published - Aug 27 2014|
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): FIC/2010/05
Acknowledgements: This work has been supported by Award No. FIC/2010/05 from King Abdullah University of Science and Technology (KAUST).