ISSN:
0945-3245
Keywords:
AMS(MOS): 65L05
;
CR: G1.7
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary In the analysis of discretization methods for stiff intial value problems, stability questions have received most part of the attention in the past.B-stability and the equivalent criterion algebraic stability are well known concepts for Runge-Kutta methods applied to dissipative problems. However, for the derivation ofB-convergence results — error bounds which are not affected by stiffness — it is not sufficient in many cases to requireB-stability alone. In this paper, necessary and sufficient conditions forB-convergence are determined.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01405197
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