B-STABILITY OF THE METHODS OF RUNGE-KUTTA

被引:78
作者
CROUZEIX, M
机构
[1] Départment de Mathématiques et Informatique, Université de Rennes, Rennes, Cédex, F-35042, Rennes-Beaulieu
关键词
Subject Classifications: AMS(MOS): 65L05; CR:; 5.17;
D O I
10.1007/BF01397651
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we slightly modify the definition of B-stability of Butcher [1], so as to cover a wider class of differential equations, and we give simple characterizations of this property. © 1979 Springer-Verlag.
引用
收藏
页码:75 / 82
页数:8
相关论文
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[1]   IMPLICIT RUNGE-KUTTA PROCESSES [J].
BUTCHER, JC .
MATHEMATICS OF COMPUTATION, 1964, 18 (85) :50-&
[2]  
BUTCHER JC, 1975, NORDISK TIDSKR INFOR, V15, P358
[3]  
CHIPMAN FH, 1971, NORD TIDSKR INFORM, V11, P384
[4]  
CROUZEIX M, 1975, THESIS PARIS
[5]  
EHLE BL, 1969, CSRR2010 U WAT DEP A