A PARALLEL DIRECT METHOD FOR SOLVING INITIAL-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL-EQUATIONS

被引：11

作者：

AMODIO, P

TRIGIANTE, D

机构：

[1] Dipartimento di Matematica, Università di Bari, I-70125 Bari

来源：

APPLIED NUMERICAL MATHEMATICS | 1993年 / 11卷 / 1-3期

关键词：

ORDINARY DIFFERENTIAL EQUATIONS; BLOCK TRIDIAGONAL SYSTEMS; DIRECT METHODS; PARALLEL COMPUTERS;

D O I：

10.1016/0168-9274(93)90041-O

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to solve, by direct methods, the systems arising in the numerical solution of ODEs with the boundary value techniques [2,3,7]. The obtained block tridiagonal systems are solved by generalizing known solvers for tridiagonal systems [1]. In particular, a generalization of the parallel cyclic reduction is considered. For problems of small dimension, we show that direct methods give good results.

引用

页码：85 / 93

页数：9

共 10 条

[1]

AMODIO P, IN PRESS LINEAR ALGE

[2]

AXELSSON AOH, 1983, BOUNDARY VALUE TECHN

[3] PARALLEL IMPLEMENTATION OF BVM METHODS [J].