BLOCK METHODS FOR 2ND-ORDER ODES

被引：110

作者：

FATUNLA, SO

机构：

[1] Department of Mathematics & Statistics, Simon Fraser University

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1991年 / 41卷 / 1-2期

关键词：

2ND ORDER INITIAL VALUE PROBLEMS; BLOCK; PARALLEL; ZERO-STABILITY; INTERVAL OF PERIODICITY; P-STABILITY AMS (MOS) SUBJECT CLASSIFICATIONS-65L05;

D O I：

10.1080/00207169108804026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Zero-stable Block methods of orders 3/4 are proposed for Second Order Initial Value Problems y” = f(x, y), y(0), y’(0) given. The matrix coefficients of the schemes are chosen as to ensure zero-stability and consistency (hence convergence of the resultant schemes). There is anticipated speed up of computations as a result of admissible parallelism across the method (or time) and cheap error estimators. © 1991, Taylor & Francis Group, LLC

引用

页码：55 / 63

页数：9

共 27 条

[11]

HAIRER E, 1976, NUMER MATH, V32, P373

[12]

HENRICI P., 1962, DISCRETE VARIABLE ME

[13]

ISERLES A, 1988, THEORY PARALLEL METH

[14]

JACKSON K, 1988, POTENTIAL PARALLEL 1