ALGEBRAIC STABILITY AND THE EXISTENCE OF SOLUTIONS OF IMPLICIT RUNGE-KUTTA EQUATIONS.

被引：0
|
作者：
Cooper, G.J. [1 ]
机构：
[1] Univ of Sussex, Sch of Mathematical, & Physical Sciences, Brighton,, Engl, Univ of Sussex, Sch of Mathematical & Physical Sciences, Brighton, Engl
来源：
BIT (Copenhagen) | 1985年 / 25卷 / 02期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An implicit Runge-Kutta method, applied to an initial value problem, gives systems of algebraic equations. Under natural assumptions concerning the differential system, there are known conditions on the method which guarantee that the algebraic equations have unique solutions. It is shown that these conditions are closely related to the requirement that the method be (k(l),l) algebraically stable on an interval left bracket O, alpha right bracket .
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页码：386 / 390
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