Construction of the ef-based Runge-Kutta methods revisited

被引：33

作者：

D'Ambrosio, R. ^{[1
]}

Ixaru, L. Gr. ^{[2
,3
]}

Paternoster, B. ^{[1
]}

机构：

[1] Univ Salerno, Dipartimento Matemat & Informat, I-84084 Fisciano, Italy

[2] Horia Hulubei Natl Inst Phys & Nucl Engn, Bucharest, Romania

[3] Acad Romanian Scientists, Bucharest 050094, Romania

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2011年 / 182卷 / 02期

关键词：

Ordinary differential equations; Runge-Kutta methods; Exponential fitting; NYSTROM METHODS;

D O I：

10.1016/j.cpc.2010.10.009

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The purpose of this paper is to revisit the exponential fitting (ef) technique when building up Runge-Kutta methods for solving ordinary differential equations. We propose a modification in such a way that the contamination of the final stage by the errors produced in the internal stages becomes visible. The modified technique is illustrated on a simple version, namely the two-stage explicit Runge-Kutta method, for which we obtain new expressions for the coefficients. The version obtained in this way is then compared for accuracy and stability with that obtained by means of the standard ef technique. (c) 2010 Elsevier B.V. All rights reserved.

引用

页码：322 / 329

页数：8

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