Exponential fitted Runge-Kutta methods of collocation type: fixed or variable knot points?

被引：38

作者：

Vanden Berghe, G ^{[1
]}

Van Daele, M ^{[1
]}

Vyver, HV ^{[1
]}

机构：

[1] Univ Ghent, Vakgrp Toegepaste Wiskunde & Informat, B-9000 Ghent, Belgium

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 159卷 / 02期

关键词：

Runge-Kutta methods; exponential fitting; oscillating differential equations;

D O I：

10.1016/S0377-0427(03)00450-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two different classes of exponential fitted Runge-Kutta collocation methods are considered: methods with fixed points and methods with frequency-dependent points. For both cases we have obtained extensions of the classical two-stage Gauss, RadauIIA and LobattoIIIA methods. Numerical examples reveal important differences between both approaches. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：217 / 239

页数：23

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