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Error bounds for some single step methods

  • G. J. Cooper
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 109)

Abstract

The truncation error in single step methods for ordinary differential equations may be bounded by terms which represent quadrature remainders. The remainders may be determined by applying Peano's theorem and this treatment suggests a variety of methods based on quadrature rules. In some cases the error bounds improve on classical results.

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References

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Copyright information

© Springer-Verlag 1969

Authors and Affiliations

  • G. J. Cooper

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