THE ANALYSIS OF GENERALIZED BACKWARDS DIFFERENCE FORMULA METHODS APPLIED TO HESSENBERG FORM DIFFERENTIAL-ALGEBRAIC EQUATIONS

被引：12

作者：

KEIPER, JB ^{[1
]}

GEAR, CW ^{[1
]}

机构：

[1] NEC RES INST INC,PRINCETON,NJ 08540

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1991年 / 28卷 / 03期

关键词：

BACKWARD DIFFERENCE FORMULA; DIFFERENTIAL-ALGEBRAIC EQUATION;

D O I：

10.1137/0728044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The numerical solution of Hessenberg form differential-algebraic equations by variable stepsize, generalized backward difference formulae (GBDF) is studied. GBDF methods of sufficiently high order are shown to converge for problems of index 3 and 4. The proof techniques developed are not sufficiently powerful to show convergence for index 5 problems, although it is speculated that convergence also occurs for these problems.

引用

页码：833 / 858

页数：26

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