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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| Format: | Online |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3995175/ |
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pubmed-3995175 |
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pubmed-39951752014-06-29 Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order Cong, Y. H. Jiang, C. X. 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. |
| repository_type |
Open Access Journal |
| institution_category |
Foreign Institution |
| institution |
US National Center for Biotechnology Information |
| building |
NCBI PubMed |
| collection |
Online Access |
| language |
English |
| format |
Online |
| author |
Cong, Y. H. Jiang, C. X. |
| spellingShingle |
Cong, Y. H. Jiang, C. X. Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order |
| author_facet |
Cong, Y. H. Jiang, C. X. |
| author_sort |
Cong, Y. H. |
| title |
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_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_sort |
diagonally implicit symplectic runge-kutta methods with high algebraic and dispersion order |
| 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. |
| publisher |
Hindawi Publishing Corporation |
| publishDate |
2014 |
| url |
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3995175/ |
| _version_ |
1612080729841205248 |