THE CONVERGENCE OF VARIABLE-STEPSIZE, VARIABLE-FORMULA, MULTISTEP METHODS

被引:39
作者
CROUZEIX, M [1 ]
LISBONA, FJ [1 ]
机构
[1] UNIV SARAGOSSA,FAC CIENCIAS,DEPT ECUAC FUNC,SARAGOSSA,SPAIN
关键词
D O I
10.1137/0721037
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
20
引用
收藏
页码:512 / 534
页数:23
相关论文
共 20 条
[1]  
BRAYTON R, 1972, P ROYAL IRISH ACAD S, P13
[2]   NEW EFFICIENT ALGORITHM FOR SOLVING DIFFERENTIAL-ALGEBRAIC SYSTEMS USING IMPLICIT BACKWARD DIFFERENTIATION FORMULAS [J].
BRAYTON, RK ;
HACHTEL, GD ;
GUSTAVSON, FG .
PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1972, 60 (01) :98-+
[3]  
Gear C. W., 1980, Computational Techniques for Ordinary Differential Equations. Proceedings of a Conference, P143
[4]   STABILITY AND CONVERGENCE OF VARIABLE ORDER MULTISTEP METHODS [J].
GEAR, CW ;
WATANABE, DS .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1974, 11 (05) :1044-1058
[5]   EFFECT OF VARIABLE MESH SIZE ON STABILITY OF MULTISTEP METHODS [J].
GEAR, CW ;
TU, KW .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1974, 11 (05) :1025-1043
[6]  
Gear CW, 1968, P IFIP68 N HOLL AMST, P187
[7]  
GEAR CW, 1978, UIUCDCSR78938 U ILL
[8]  
GEAR CW, STIFF DIFFERENTIAL S, P111
[9]  
GRIGORIEFF RD, 1981, NUMERICAL METHODS SO
[10]  
Henrici P, 1962, DISCRETE VARIABLE ME