A class of implicit advanced step-point methods with a parallel feature for the solution of stiff initial value problems

被引：4

作者：

Psihoyios, G ^{[1
]}

机构：

[1] Anglia Polytech Univ, Dept Math & Technol, Cambridge CB1 1PT, England

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2004年 / 40卷 / 11-12期

关键词：

stiffness; initial value problems; advanced step-point methods stability; PIAS methods; parallel methods; MEBDF;

D O I：

10.1016/j.mcm.2005.01.014

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, a class of implicit advanced step-point methods that possesses a parallel feature is presented. Their accuracy and stability characteristics are examined in some detail and an experimental nonparallel code has been developed in order to give us a fair indication of their capabilities. Our aim is not to discuss a "parallel implementation" but, to demonstrate the worthiness of the new methods. The experimental code is compared with the powerful MEBDF code on the stiff DETEST problem set and the statistics displayed are obtained from the DETEST evaluation package. Some initial conclusions concerning the efficiency of the new methods are drawn from the analysis of the numerical results. (C) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1199 / 1224

页数：26

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