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BIT Numerical Mathematics

, Volume 20, Issue 3, pp 367–374 | Cite as

Characterization of allA-stable methods of order 2m-4

  • G. Wanner
Part II Numerical Mathematics

Abstract

The characterization ofA-stable methods is often considered as a very difficult task (see e.g. [1]). In recent years, simple proofs have been found for methods of orderp≧2m-2 (see [2], [3], [7]). In this paper, we characterize theA-acceptable approximations of orderp ≧2m-4 and apply the result to 12-parameter families of implicit Runge-Kutta methods.

Keywords

Computational Mathematic Simple Proof 
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References

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Copyright information

© BIT Foundations 1980

Authors and Affiliations

  • G. Wanner
    • 1
  1. 1.Section De MathematiquesUniversité De GenèveGenève 24Switzerland

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