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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Asymptotic expansions for a class of elliptic difference schemes

Author: Göran Starius
Journal: Math. Comp. 37 (1981), 321-326
MSC: Primary 65N15; Secondary 65B05
MathSciNet review: 628698
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Abstract: In this paper, we derive an asymptotic expansion of the global error for Kreiss’ difference scheme for the Dirichlet problem for Poisson’s equation. This scheme, combined with a deferred correction procedure or the Richardson extrapolation technique, yields a method of accuracy at least $O({h^{6.5}})$ in ${L_2}$, where h is the mesh length.

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Article copyright: © Copyright 1981 American Mathematical Society