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Abstract

The classical Runge-Kutta method is combined with discrete Newton methods and iterated defect corrections to obtain high order methods based on the asymptotic expansion of the discretization error. A simple step-size strategy and numerical results are given.

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Literature

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    Böhmer, K.: Discrete Newton methods and iterated defect corrections, I General theory, II Proofs and applications to initial and boundary value problems, submitted to Numer.Math.Google Scholar
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Copyright information

© Springer Basel AG 1980

Authors and Affiliations

  • Klaus Böhmer
    • 1
  • Hans-Jürgen Fleischmann
    • 1
  1. 1.Institut für Praktische MathematikUniversität KarlsruheGermany

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