Error Analysis of Explicit Partitioned Runge–Kutta Schemes for Conservation Laws
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Numerical Mathematics Group
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AbstractAn 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.
CitationError Analysis of Explicit Partitioned Runge–Kutta Schemes for Conservation Laws 2014 Journal of Scientific Computing
SponsorsThis work has been supported by Award No. FIC/2010/05 from King Abdullah University of Science and Technology (KAUST).
JournalJournal of Scientific Computing