A note on the construction of symplectic schemes for splitable Hamiltonian \(H=H^{(1)}+H^{(2)}+H^{(3)}\) (Q2780725)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A note on the construction of symplectic schemes for splitable Hamiltonian \(H=H^{(1)}+H^{(2)}+H^{(3)}\) |
scientific article; zbMATH DE number 1719952
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the construction of symplectic schemes for splitable Hamiltonian \(H=H^{(1)}+H^{(2)}+H^{(3)}\) |
scientific article; zbMATH DE number 1719952 |
Statements
24 September 2003
0 references
symplectic difference scheme
0 references
splitable Hamiltonian
0 references
Hamiltonian systems
0 references
A note on the construction of symplectic schemes for splitable Hamiltonian \(H=H^{(1)}+H^{(2)}+H^{(3)}\) (English)
0 references
Integration of Hamiltonian systems with a splitable Hamiltonian is considered. It is assumed that the Hamiltonian can be represented as the sum of three parts and each part can be explicitly integrated. It is shown in the paper that the 4th-order time reversible symplectic difference scheme which can be obtained from the phase flows of the three parts is unique. The proof is given in detail.
0 references
