Electronic Resource
Springer
Numerische Mathematik
42 (1983), S. 349-357
ISSN:
0945-3245
Keywords:
AMS(MOS) 65L05
;
CR: 5.17
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary In this paper theD-stability properties of some classes of perturbed collocation methods are investigated. Among others we show the implicit Runge-Kutta methods described by Ehle-Chipman to beD-stable. We also give implicit Runge-Kutta methods that are bothD-stable andA-stable but notB-stable. Finally we indicate in what senseB-stability is stronger thanA-stability together withD-stability. The results of this paper are based on recent results of Nørsett and Wanner on perturbed collocation methods.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01389579
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