Continuous two-step Runge-Kutta methods for ordinary differential equations

被引：28

作者：

D'Ambrosio, Raffaele ^{[1
]}

Jackiewicz, Zdzislaw ^{[2
,3
]}

机构：

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

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

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

来源：

NUMERICAL ALGORITHMS | 2010年 / 54卷 / 02期

关键词：

Two-step collocation methods; A-stability; L-stability; Quadratic stability functions; Runge-Kutta stability; ORDER CONDITIONS; CONSTRUCTION; DERIVATION; STABILITY;

D O I：

10.1007/s11075-009-9329-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New classes of continuous two-step Runge-Kutta methods for the numerical solution of ordinary differential equations are derived. These methods are developed imposing some interpolation and collocation conditions, in order to obtain desirable stability properties such as A-stability and L-stability. Particular structures of the stability polynomial are also investigated.

引用

页码：169 / 193

页数：25

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