A PARALLEL SHOOTING TECHNIQUE FOR SOLVING DISSIPATIVE ODES

被引：35

作者：

CHARTIER, P ^{[1
]}

PHILIPPE, B ^{[1
]}

机构：

[1] INRIA,IRISA,F-35042 RENNES,FRANCE

来源：

COMPUTING | 1993年 / 51卷 / 3-4期

关键词：

MASSIVELY PARALLEL; ACROSS THE STEPS METHODS; ORDINARY DIFFERENTIAL EQUATIONS; DISSIPATIVE PROBLEMS;

D O I：

10.1007/BF02238534

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A Parallel Shooting Technique for Solving Dissipative ODE's. In this paper, we study different modifications of a class of parallel algorithms, initially designed by A. Bellen and M. Zennaro for difference equations and called ''across the steps'' methods by their authors, for the purpose of solving initial value problems in ordinary differential equations (ODE's) on a massively parallel computer. Restriction to dissipative problems is discussed which allow these problems to be solved efficiently, as shown by the simulations.

引用

页码：209 / 236

页数：28

共 17 条

[1] PARALLEL ODE-SOLVERS WITH STEPSIZE CONTROL
BELLEN, A
VERMIGLIO, R
ZENNARO, M
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1990, 31 (02) : 277 - 293
[2] PARALLEL ALGORITHMS FOR INITIAL-VALUE PROBLEMS FOR DIFFERENCE AND DIFFERENTIAL-EQUATIONS
BELLEN, A
ZENNARO, M
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1989, 25 (03) : 341 - 350
[3] BIRTA LG, 1987, IEEE T COMPUT, V36, P299, DOI 10.1109/TC.1987.1676902
[4] CHARTIER P, 1991, IRISA593 CAMP BEAUL
[5] CHARTIER P, 1993, IN PRESS SIAM J NUME
[6] FRANKLIN MA, 1978, IEEE T COMPUT, V27, P413, DOI 10.1109/TC.1978.1675121
[7] GEAR C, 1986, R871369 U ILL RES
[8] HAIRER E, 1991, SOLVING ORDINARY D 2, V2
[9] HAIRER E, 1987, SOLVING ORDINARY D 1, V1
[10] HINDMARSH AC, 1980, ACM SIGNUM NEWSLETTE, V15, P10, DOI DOI 10.1145/1218052.1218054

← 1 2 →