Nordsieck methods with inherent quadratic stability

We derive suffcient conditions which guarantee that the stability polynomial of Nordsieck method for ordinary differential equations has only two nonzero roots. Examples of such methods up to order four are presented which are A-and L-stable. These examples were obtained by computer search using th...

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Bibliographic Details
Main Author: M. Braś
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2011-04-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/5511