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: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/147801 |
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| _version_ | 1832548605701914624 |
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| author | Y. H. Cong C. X. Jiang |
| author_facet | Y. H. Cong C. X. Jiang |
| author_sort | Y. H. Cong |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-67adddd2a77c4906845a498ecbe3f383 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-67adddd2a77c4906845a498ecbe3f3832025-02-03T06:13:38ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/147801147801Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion OrderY. H. Cong0C. X. Jiang1Department of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaThe 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.http://dx.doi.org/10.1155/2014/147801 |
| spellingShingle | Y. H. Cong C. X. Jiang Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/147801 |
| work_keys_str_mv | AT yhcong diagonallyimplicitsymplecticrungekuttamethodswithhighalgebraicanddispersionorder AT cxjiang diagonallyimplicitsymplecticrungekuttamethodswithhighalgebraicanddispersionorder |