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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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Asymptotic expansions for a class of elliptic difference schemes
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by Göran Starius PDF
Math. Comp. 37 (1981), 321-326 Request permission

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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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Math. Comp. 37 (1981), 321-326
  • MSC: Primary 65N15; Secondary 65B05
  • DOI: https://doi.org/10.1090/S0025-5718-1981-0628698-X
  • MathSciNet review: 628698