Construction of Implicit Runge-Kutta Methods

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

Abstract

In Sect. II.7 the first implicit Runge-Kutta methods were introduced. As we saw in Sect. IV.3, not all of them are suitable for the solution of stiff differential equations. This section is devoted to the collection of several classes of fully implicit Runge-Kutta methods possessing good stability properties.

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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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