Construction of Efficient General Linear Methods for Non-Stiff Differential Systems

被引：19

作者：

Bras, Michal ^{[1
,2
]}

Cardone, Angelamaria ^{[3
]}

机构：

[1] AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland

[2] Jagiellonian Univ, Fac Math & Comp Sci, PL-30348 Krakow, Poland

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

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2012年 / 17卷 / 02期

关键词：

general linear methods; Nordsieck representation; order conditions; inherent quadratic stability; region of absolute stability; RUNGE-KUTTA METHODS;

D O I：

10.3846/13926292.2012.655789

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper describes the construction of explicit general linear methods in Nordsieck form with inherent quadratic stability and large areas of the stability region. After satisfying order and inherent quadratic stability conditions, the remaining free parameters are used to find the methods with large area of region of absolute stability. Examples of methods with p = q+1 = s = r and p = q = s = r - 1 up to order 6 are given.

引用

页码：171 / 189

页数：19

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