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.

引用

页码：17 / 34

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