Stability Analysis for Explicit RK Methods

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

Abstract

The first analysis of instability phenomena and step size restrictions for hyperbolic equations was made in the famous paper of Courant, Friedrichs & Lewy (1928). Later, many authors undertook a stability analysis, very often independently, in order to explain the phenomena encountered in the foregoing section. An early and beautiful paper on this subject is Guillou & Lago (1961).

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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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