Explicit difference schemes for solving stiff systems of ODEs and PDEs with complex spectrum

被引：10

作者：

Lebedev, VI ^{[1
]}

机构：

[1] Russian Res Ctr, Kurachatov Inst, Inst Numer Math, Moscow 123182, Russia

来源：

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 1998年 / 13卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1515/rnam.1998.13.2.107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a stable explicit method of first-order accuracy with time-variable steps for solving stiff systems of ODEs and nonstationary PDEs with complex spectrum belonging to a domain B. We investigate the conditions on, in case of their fulfilment the average step is order maximal. We propose algorithmically simple realizations of these conditions by the DUMKA code for the special class of domains B whose boundaries are the level lines of the Chebyshev polynomials of a composite argument.

引用

页码：107 / 116

页数：10

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