A note on iterated splitting schemes

Authors:
Willem Hundsdorfer;Laura Portero
Affiliations:
CWI, Kruislaan 413, Amsterdam, The Netherlands;Departamento de Matemática e Informática, Universidad Pública de Navarra, Campus de Arrosadía s/n, 31006 Pamplona, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

Iterated splittings seem attractive in view of consistency and local accuracy. In this note it will be shown, however, that for stiff systems the stability properties are quite poor. Specific Runge-Kutta implementations can improve stability, but this leads to classes of methods that are better studied in their own right.