Explicit Nordsieck methods with extended stability regions

被引：9

作者：

Bartoszewski, Z. ^{[1
]}

Jackiewicz, Z. ^{[2
,3
]}

机构：

[1] Gdansk Univ Technol, Dept Appl Phys & Math, PL-80233 Gdansk, Poland

[2] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA

[3] AGH Univ Sci & Technol, Dept Appl Math, PL-30059 Krakow, Poland

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 10期

基金：

美国国家科学基金会;

关键词：

Explicit Nordsieck methods; General linear methods; Order conditions; Region of absolute stability; CHEBYSHEV METHODS;

D O I：

10.1016/j.amc.2011.11.088

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the construction of explicit Nordsieck methods of order p and stage order q = p with large regions of absolute stability. We also discuss error propagation and estimation of local discretization errors. The error estimators are derived for examples of general linear methods constructed in this paper. Some numerical experiments are presented which illustrate the effectiveness of proposed methods. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：6056 / 6066

页数：11

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