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Asymptotic expansions of the global error for the implicit midpoint rule (stiff case)

Asymptotische Entwicklungen des globalen Fehlers der impliziten Mittelpunktsregel (steifer Fall)

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Abstract

In this contribution an asymptotic expansion of the global error for the box scheme (implicit midpoint rule) in a stiff case on a highly non-uniform mesh will be discussed. The details and the proofs may be found in [7].

Zusammenfassung

In diesem Beitrag wird eine asymptotische Entwicklung für das Box-Schema (implizite Mittelpunktsregel) im Fall einer steifen Gleichung auf einem stark ungleichmäßigen Gitter diskutiert. Details und Beweise finden sich in [7].

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References

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Free University, P.O. Box 7161, NL-1007 MC, Amsterdam, The Netherlands

    M. van Veldhuizen

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  1. M. van Veldhuizen
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van Veldhuizen, M. Asymptotic expansions of the global error for the implicit midpoint rule (stiff case). Computing 33, 185–192 (1984). https://doi.org/10.1007/BF02240190

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  • DOI: https://doi.org/10.1007/BF02240190

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