CONVERGENCE OF RUNGE-KUTTA METHODS FOR DIFFERENTIAL-ALGEBRAIC SYSTEMS OF INDEX-3

被引：26

作者：

JAY, L

机构：

[1] Department of Computer Science, University of Minnesota, Minneapolis, MN 55455-0159, 4-192 EE/CS Building

来源：

APPLIED NUMERICAL MATHEMATICS | 1995年 / 17卷 / 02期

关键词：

DIFFERENTIAL-ALGEBRAIC EQUATIONS; INDEX; 3; RUNGE-KUTTA METHODS;

D O I：

10.1016/0168-9274(95)00013-K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with convergence results of stiffly accurate implicit Runge-Kutta methods when applied to differential-algebraic equations of index 3 in Hessenberg form. Under certain hypotheses global superconvergence is shown, proving a result conjectured by Hairer, Lubich and Roche. Numerical examples are provided which illustrate the theoretical results.

引用

页码：97 / 118

页数：22

共 16 条

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[Anonymous], 1963, J AUSTR MATH SOC, DOI [DOI 10.1017/S1446788700027932, 10.1017/S1446788700027932]

[2] PROJECTED IMPLICIT RUNGE-KUTTA METHODS FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS [J].