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

Willem Hundsdorfer, David I. Ketcheson, Igor Savostianov

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)633-653
Number of pages21
JournalJournal of Scientific Computing
Volume63
Issue number3
DOIs
StatePublished - Aug 27 2014

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