Trapezoidal and midpoint splittings

for initial-boundary value problems

Author:
Willem Hundsdorfer

Journal:
Math. Comp. **67** (1998), 1047-1062

MSC (1991):
Primary 65M06, 65M12, 65M20

DOI:
https://doi.org/10.1090/S0025-5718-98-00984-3

MathSciNet review:
1484899

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we consider various multi-component splittings based on the trapezoidal rule and the implicit midpoint rule. It will be shown that an important requirement on such methods is internal stability. The methods will be applied to initial-boundary value problems. Along with a theoretical analysis, some numerical test results will be presented.

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Additional Information

**Willem Hundsdorfer**

Affiliation:
CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands

Email:
w.hundsdorfer@cwi.nl

DOI:
https://doi.org/10.1090/S0025-5718-98-00984-3

Keywords:
Numerical analysis,
initial-boundary value problems,
splitting methods

Received by editor(s):
July 29, 1996

Additional Notes:
Part of the research for this paper was performed during a visit at the University of Coimbra (Portugal) for the EU/HCM project CRHX-0930407.

Article copyright:
© Copyright 1998
American Mathematical Society