Stability of explicit ARKN methods for perturbed oscillators

Authors:
J. M. Franco
Affiliations:
Departamento de Matemática Aplicada, C.P.S. de Ingeniería, Universidad de Zaragoza, María de Luna 3, 50015 Zaragoza, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

Citing 2
Cited 2

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SIAM Journal on Numerical Analysis
A 5(3) pair of explicit ARKN methods for the numerical integration of perturbed oscillators

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Scheifele two-step methods for perturbed oscillators

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A robust trigonometrically fitted embedded pair for perturbed oscillators

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Abstract

The stability of explicit ARKN methods for the numerical integration of perturbed oscillators is analyzed. Stability regions for the second-order homogeneous linear test model are obtained. These stability regions represent a generalization of the stability intervals for the classical RKN methods.