A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods

A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods

We describe an algorithm, based on a new strategy recently proposed by Hewitt and Hill in the context of general linear methods, for the construction of algebraically stable two-step Runge-Kutta methods. Using this algorithm we obtained a complete characterization of algebraically stable methods wi...

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Bibliographic Details
Main Authors: Dajana Conte, Raffaele D'Ambrosio, Zdzislaw Jackiewicz, Beatrice Paternoster
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2012-02-01
Series:Mathematical Modelling and Analysis
Subjects:
ordinary differential equations
two-step Runge-Kutta methods
general linear methods
G-stability
algebraic stability
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/4826

Internet

https://journals.vgtu.lt/index.php/MMA/article/view/4826

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