Share:


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

    Michal Bra´s Affiliation
    ; Angelamaria Cardone Affiliation

Abstract

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.

Keyword : general linear methods, Nordsieck representation, order conditions, inherent quadratic stability, region of absolute stability

How to Cite
Bra´s, M., & Cardone, A. (2012). Construction of efficient general linear methods for non-stiff differential systems. Mathematical Modelling and Analysis, 17(2), 171-189. https://doi.org/10.3846/13926292.2012.655789
Published in Issue
Apr 1, 2012
Abstract Views
416
PDF Downloads
246
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.