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“Nearly” A-Stable Multistep Methods

  • Ernst Hairer
  • Gerhard Wanner
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 14)

Abstract

Dahlquist’s condition p ≤ 2 for the order of an A -stable linear multistep method is a severe restriction for efficient practical calculations of high precision. There are only two ways of “breaking” this barrier:
  • either weaken the condition;

  • or strengthen the method.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Ernst Hairer
    • 1
  • Gerhard Wanner
    • 1
  1. 1.Section de Mathématiques, C.P. 240Université de GenèveGenève 24Switzerland

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