Mathematics of Computation

Author(s): Willem Hundsdorfer.
Journal: Math. Comp. 67 (1998), 183-190.
MSC (1991): Primary 65M06, 65M12, 65M20
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Abstract: In this note some stability results are derived for the Douglas splitting method. The relevance of the theoretical results is tested for an advection-reaction equation.

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3.: W. Hundsdorfer, Trapezoidal and midpoint splittings for initial-boundary value problems. CWI Report, 1996.
4.: G.I. Marchuk, Splitting and alternating direction methods. Handbook of Numerical Analysis 1 (P.G. Ciarlet. J.L. Lions, eds.), North-Holland, Amsterdam, pp. 197-462, 1990. CMP 90:08
5.: A.R. Mitchell, D.F. Griffiths, The Finite Difference Method in Partial Differential Equations. John Wiley & Sons, Chichester, 1980. MR 82a:65002
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Retrieve articles in Mathematics of Computation with MSC (1991): 65M06, 65M12, 65M20

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

DOI: 10.1090/S0025-5718-98-00914-4
PII: S 0025-5718(98)00914-4
Keywords: Numerical analysis, initial-boundary value problems, splitting methods
Received by editor(s): July 29, 1996
Copyright of article: Copyright 1998, American Mathematical Society

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