Optimization-based search for nordsieck methods of high order with quadratic stability polynomials

We describe the search for explicit general linear methods in Nordsieck form for which the stability function has only two nonzero roots. This search is based on state-of-the-art optimization software. Examples of methods found in this way are given for order p = 5, p = 6, and p = 7.

Bibliographic Details
Main Authors: Angelamaria Cardone, Zdzislaw Jackiewicz, Hans Mittelmann
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2012-06-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/4872

Similar Items