DIFFERENTIATION OF CONSTRAINTS IN DIFFERENTIAL-ALGEBRAIC EQUATIONS

被引:14
作者
CAMPBELL, SL
LEIMKUHLER, B
机构
[1] N CAROLINA STATE UNIV, CTR RES SCI COMPUTAT, RALEIGH, NC 27695 USA
[2] HELSINKI UNIV TECHNOL, INST MATH, SF-02150 ESPOO, FINLAND
来源
MECHANICS OF STRUCTURES AND MACHINES | 1991年 / 19卷 / 01期
基金
芬兰科学院;
关键词
D O I
10.1080/08905459108905136
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Differentiation of constraints that appear in differential-algebraic equations (DAEs) has been advocated for many purposes, ranging from index reduction for numerical purposes to systems inversion in control theory. In this paper, the numerical and analytic consequences of such differentiations are studied and criteria are established for when difficulties can occur.
引用
收藏
页码:19 / 39
页数:21
相关论文
共 12 条
[1]  
[Anonymous], 1978, MATH METHODS CLASSIC, DOI [DOI 10.1007/978-1-4757-1693-1, 10.1007/978-1-4757-1693-1]
[2]  
[Anonymous], 1972, COMPUT METHOD APPL M, DOI DOI 10.1016/0045-7825(72)90018-7
[3]  
Brenan K. E., 1989, NUMERICAL SOLUTION I
[4]  
Campbell S., 1989, IMACS T SCI COMPUTIN, V12, P555
[5]  
FURHER CF, 1989, DFVLRFB8908 DTSCH FO
[6]   DIFFERENTIAL-ALGEBRAIC EQUATION INDEX TRANSFORMATIONS [J].
GEAR, CW .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1988, 9 (01) :39-47
[7]   MAINTAINING SOLUTION INVARIANTS IN THE NUMERICAL-SOLUTION OF ODES [J].
GEAR, CW .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1986, 7 (03) :734-743
[8]  
MRZIGLOD T, 1987, THESIS U KOLN COL
[9]   OBSERVATIONS ON AN ADAPTIVE MOVING GRID METHOD FOR ONE-DIMENSIONAL SYSTEMS OF PARTIAL-DIFFERENTIAL EQUATIONS [J].
PETZOLD, LR .
APPLIED NUMERICAL MATHEMATICS, 1987, 3 (04) :347-360
[10]  
SHAMPINE LF, 1984, 841241 SAND NAT LAB