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.
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
-
Nordsieck methods with inherent quadratic stability
by: M. Braś
Published: (2011-04-01) -
Implementation of explicit Nordsieck methods with inherent quadratic stability
by: Michel Bras, et al.
Published: (2013-04-01) -
Construction of Nordsieck Second Derivative General Linear Methods with Inherent Quadratic Stability
by: Akram Movahedinejad, et al.
Published: (2017-01-01) -
Construction of efficient general linear methods for non-stiff differential systems
by: Michal Bra´s, et al.
Published: (2012-04-01) -
Um contra-exemplo ao teorema de Bloch-Nordsieck na cromodinâmica quântica
by: Maria Teresa Climaco dos Santos Thomaz
Published: (1981)