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

    Dajana Conte Info
    Raffaele D'Ambrosio Info
    Zdzislaw Jackiewicz Info
    Beatrice Paternoster Info

Abstract

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 with one and two stages.

Keywords:

ordinary differential equations, two-step Runge-Kutta methods, general linear methods, G-stability, algebraic stability

How to Cite

Conte, D., D'Ambrosio, R., Jackiewicz, Z., & Paternoster, B. (2012). A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods. Mathematical Modelling and Analysis, 17(1), 65-77. https://doi.org/10.3846/13926292.2012.644870

Share

Published in Issue
February 1, 2012
Abstract Views
579

View article in other formats

CrossMark check

CrossMark logo

Published

2012-02-01

Issue

Section

Articles

How to Cite

Conte, D., D'Ambrosio, R., Jackiewicz, Z., & Paternoster, B. (2012). A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods. Mathematical Modelling and Analysis, 17(1), 65-77. https://doi.org/10.3846/13926292.2012.644870

Share