Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order

The numerical integration of Hamiltonian systems with oscillating solutions is considered in this paper. A diagonally implicit symplectic nine-stages Runge-Kutta method with algebraic order 6 and dispersion order 8 is presented. Numerical experiments with some Hamiltonian oscillatory problems are pr...

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Detalles Bibliográficos
Autores principales: Cong, Y. H., Jiang, C. X.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3995175/
https://www.ncbi.nlm.nih.gov/pubmed/24977178
http://dx.doi.org/10.1155/2014/147801
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author Cong, Y. H.
Jiang, C. X.
author_facet Cong, Y. H.
Jiang, C. X.
author_sort Cong, Y. H.
collection PubMed
description The numerical integration of Hamiltonian systems with oscillating solutions is considered in this paper. A diagonally implicit symplectic nine-stages Runge-Kutta method with algebraic order 6 and dispersion order 8 is presented. Numerical experiments with some Hamiltonian oscillatory problems are presented to show the proposed method is as competitive as the existing same type Runge-Kutta methods.
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spelling pubmed-39951752014-06-29 Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order Cong, Y. H. Jiang, C. X. ScientificWorldJournal Research Article The numerical integration of Hamiltonian systems with oscillating solutions is considered in this paper. A diagonally implicit symplectic nine-stages Runge-Kutta method with algebraic order 6 and dispersion order 8 is presented. Numerical experiments with some Hamiltonian oscillatory problems are presented to show the proposed method is as competitive as the existing same type Runge-Kutta methods. Hindawi Publishing Corporation 2014 2014-04-01 /pmc/articles/PMC3995175/ /pubmed/24977178 http://dx.doi.org/10.1155/2014/147801 Text en Copyright © 2014 Y. H. Cong and C. X. Jiang. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Cong, Y. H.
Jiang, C. X.
Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order
title Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order
title_full Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order
title_fullStr Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order
title_full_unstemmed Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order
title_short Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order
title_sort diagonally implicit symplectic runge-kutta methods with high algebraic and dispersion order
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3995175/
https://www.ncbi.nlm.nih.gov/pubmed/24977178
http://dx.doi.org/10.1155/2014/147801
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