PERFORMANCE ANALYSIS OF SOME METHODS FOR SOLVING EULER-LAGRANGE EQUATIONS

被引：9

作者：

RHEINBOLDT, WC ^{[1
]}

SIMEON, B ^{[1
]}

机构：

[1] TH DARMSTADT,FACHBEREICH MATH,D-64289 DARMSTADT,GERMANY

来源：

APPLIED MATHEMATICS LETTERS | 1995年 / 8卷 / 01期

关键词：

EULER-LAGRANGE EQUATIONS; DIFFERENTIAL-ALGEBRAIC EQUATIONS; NUMERICAL METHODS; PERFORMANCE ANALYSIS;

D O I：

10.1016/0893-9659(94)00114-R

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Three recently developed methods for solving the Euler-Lagrange equations are considered, and for their implementations in the codes ELXR5, MDOP5, and MEXX a performance analysis is presented using two realistic simulation problems as test cases.

引用

页码：77 / 82

页数：6

共 18 条

[1]

Andrzejewski T., 1993, Advanced multibody system dynamics: simulation and software tools, P127

[2] STABILITY OF COMPUTATIONAL METHODS FOR CONSTRAINED DYNAMICS SYSTEMS [J].

ASCHER, UM ;

PETZOLD, LR .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1993, 14 (01) :95-120

[3] HALF-EXPLICIT RUNGE-KUTTA METHODS FOR DIFFERENTIAL-ALGEBRAIC SYSTEMS OF INDEX-2 [J].

BRASEY, V ;

HAIRER, E .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1993, 30 (02) :538-552

[4]

Brenan K. E., 1989, NUMERICAL SOLUTION I

[5] CONVERGENCE RESULTS FOR A COORDINATE PROJECTION METHOD APPLIED TO MECHANICAL SYSTEMS WITH ALGEBRAIC CONSTRAINTS [J].

EICH, E .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1993, 30 (05) :1467-1482

[6] NUMERICAL-SOLUTION OF DIFFERENTIAL-ALGEBRAIC EQUATIONS FOR CONSTRAINED MECHANICAL MOTION [J].

FUHRER, C ;

LEIMKUHLER, BJ .

NUMERISCHE MATHEMATIK, 1991, 59 (01) :55-69

[7]

Hairer E., 1993, SOLVING ORDINARY DIF, V2nd

[8]

Hairer E., 1991, SOLVING ORDINARY DIF, DOI [10.1007/978-3-662-09947-6, DOI 10.1007/978-3-662-09947-6]

[9]

Haug EJ., 1989, COMPUTER AIDED KINEM

[10]

HILLER M, 1991, APPLICATION MULTIBOD

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