Stability of Multistep Methods

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

Abstract

A general k-step multistep method is of the form
$${\alpha _k}{y_{m + k}} + {\alpha _{k - 1}}{y_{m + k - 1}} + \ldots + {\alpha _0}{y_m} = h\left( {{\beta _k}{f_{m + k}} + \ldots + {\beta _0}{f_m}} \right).$$
(1.1)

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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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