STUDY OF B-CONVERGENCE OF RUNGE-KUTTA METHODS.

被引：0
|
作者：
Burrage, K. [1 ]
Hundsdorfer, W.H. [1 ]
Verwer, J.G. [1 ]
机构：
[1] Univ of Auckland, Auckland, NZ, Univ of Auckland, Auckland, NZ
来源：
Computing (Vienna/New York) | 1986年 / 36卷 / 1-2期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with the convergence analysis of implicit Runge-Kutta methods as applied to stiff, semilinear systems of the form du(t)/dt equals QU(t) plus g(t,U(t)). A criterion is developed which determines whether the order of optimal B-convergence is at least equal to the stage order or one order higher. This criterion is studied for a number of interesting classes of methods.
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页码：17 / 34
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