A Practical Approach for the Derivation of Algebraically Stable Two-Step Runge-Kutta Methods

被引：12

作者：

Conte, Dajana ^{[1
]}

D'Ambrosio, Raffaele ^{[1
]}

Jackiewicz, Zdzislaw ^{[2
,3
]}

Paternoster, Beatrice ^{[1
]}

机构：

[1] Univ Salerno, I-84084 Fisciano, SA, Italy

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

[3] AGH Univ Sci & Techonol, Krakow, Poland

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2012年 / 17卷 / 01期

关键词：

ordinary differential equations; two-step Runge-Kutta methods; general linear methods; G-stability; algebraic stability; GENERAL LINEAR METHODS; STABILITY;

D O I：

10.3846/13926292.2012.644870

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe an algorithm, based on a new strategy recently proposed by Hewitt and Hill in the context of general linear methods, for the construction of algebraically stable two-step Runge-Kutta methods. Using this algorithm we obtained a complete characterization of algebraically stable methods with one and two stages.

引用

页码：65 / 77

页数：13

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