NUMERICAL-SOLUTION OF NONLINEAR DIFFERENTIAL-EQUATIONS WITH ALGEBRAIC CONSTRAINTS .1. CONVERGENCE RESULTS FOR BACKWARD DIFFERENTIATION FORMULAS

被引:102
作者
LOTSTEDT, P [1 ]
PETZOLD, L [1 ]
机构
[1] UNIV CALIF LAWRENCE LIVERMORE NATL LAB,DIV COMP & MATH RES,LIVERMORE,CA 94550
关键词
D O I
10.2307/2007989
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:491 / 516
页数:26
相关论文
共 27 条
[1]  
BENISRAEL A, 1974, GENERALIZED INVERSES
[2]   COMPUTER METHODS OF NETWORK ANALYSIS [J].
BRANIN, FH .
PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1967, 55 (11) :1787-+
[3]  
BRANIN FH, 1977, PROBLEM ANAL SCI ENG
[4]  
Brenan KE, 1983, THESIS U CALIFORNIA
[5]  
CALAHAN DA, 1972, COMPUTER AIDED NETWO
[6]   CANONICAL-FORMS AND SOLVABLE SINGULAR SYSTEMS OF DIFFERENTIAL-EQUATIONS [J].
CAMPBELL, SL ;
PETZOLD, LR .
SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1983, 4 (04) :517-521
[7]   THE NUMERICAL-SOLUTION OF HIGHER INDEX LINEAR TIME-VARYING SINGULAR SYSTEMS OF DIFFERENTIAL-EQUATIONS [J].
CAMPBELL, SL .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1985, 6 (02) :334-348
[8]  
CAMPBELL SL, 1984, EXPLICIT METHODS SOL
[9]  
CAMPBELL SL, 1979, SINGULAR SYSTEMS DIF
[10]  
Cottle R. W., 1974, LINEAR ALGEBRA APPL, V8, P189