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Multidimensional first and second order symmetric Strang splitting for hyperbolic systems |
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| Authors: | Milan Kucharik Burton Wendroff |
| Institution: | 1. Theoretical Division, T-5, Los Alamos National Laboratory MS-B284, Los Alamos, NM 87545, USA;2. Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Brehova 7, Praha 1, 115 19, Czech Republic |
| Abstract: | We propose an algebraic basis for symmetric Strang splitting for first and second order accurate schemes for hyperbolic systems in N dimensions. Examples are given for two and three dimensions. Optimal stability is shown for symmetric systems. Lack of strong stability is shown for a non-symmetric example. Some numerical examples are presented for some Euler-like constant coefficient problems. |
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