Open AccessCONSTRUCTION OF EFFICIENT GENERAL LINEAR METHODS FOR NON-STIFF DIFFERENTIAL SYSTEMS
Author(s) -
Michał Braś,
Angelamaria Cardone
Publication year - 2012
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2012.655789
Subject(s) - stability (learning theory) , mathematics , quadratic equation , differential (mechanical device) , order (exchange) , mathematical analysis , computer science , geometry , physics , finance , machine learning , economics , thermodynamics
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