Multidimensional first and second order symmetric Strang splitting for hyperbolic systems

Authors:
Milan Kucharik;Burton Wendroff
Affiliations:
Theoretical Division, T-5, Los Alamos National Laboratory MS-B284, Los Alamos, NM 87545, USA and Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Brehova ...;Theoretical Division, T-5, Los Alamos National Laboratory MS-B284, Los Alamos, NM 87545, USA
Venue:
Applied Numerical Mathematics
Year:
2010

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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.