Construction of efficient general linear methods for non-stiff differential systems

Mathematical Modelling and Analysis

Angelamaria Cardone¹  Michal Bra´s² 

[1] Dipartimento di Matematica, Universit`a degli Studi di Salerno via Ponte Don Melillo, I-84084 Fisciano (SA), Italy;Faculty of Applied Mathematics, AGH University of Science and Technology al. Mickiewicza 30, 30-059 Krakow, Poland, and Faculty of Mathematics and Computer Science, Jagiellonian University;

关键词: general linear methods;    Nordsieck representation;    order conditions;    inherent quadratic stability;    region of absolute stability;   

DOI  :  10.3846/13926292.2012.655789

来源: DOAJ

【 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.

【 授权许可】

Unknown