A conservative difference scheme for a system of Hamiltonian equations with external action (Q1309077)
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 conservative difference scheme for a system of Hamiltonian equations with external action |
scientific article; zbMATH DE number 468708
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A conservative difference scheme for a system of Hamiltonian equations with external action |
scientific article; zbMATH DE number 468708 |
Statements
A conservative difference scheme for a system of Hamiltonian equations with external action (English)
0 references
13 March 1994
0 references
The author constructs a nonlinear difference scheme in the time variable for the Hamiltonian equation \(q=\nabla_ x H\), \(p=-\nabla_ x H+ f(t,q,p)\) with usual initial conditions. Under certain conditions he proves that the algebraic system underlying the difference scheme is uniquely solvable and that the discrete solution converges to the exact one.
0 references
time discretization
0 references
convergence
0 references
nonlinear difference scheme
0 references
Hamiltonian equation
0 references
