Multidimensional first and second order symmetric Strang splitting for hyperbolic systems

• Autores: Milan Kucharik, Burton Wendroff
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 60, Nº. 1-2, 2010, págs. 74-82
• Idioma: inglés
• DOI: 10.1016/j.apnum.2009.09.007
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• Resumen

  • 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.