Multi-Symplectic Integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
|
Descargar SCORM
¡Sea el primero en solicitar este recurso!
Para poder solicitar este recurso debe identificarse como usuario de la biblioteca
|
| |
Ver
Detalles del recurso
|
|
|
Multi-Symplectic Integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
|
| Id. |
46615905 |
| Idioma |
inglés
|
| Titulo |
Multi-Symplectic Integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity |
| Autor(es) |
Thomas J. Bridges
Sebastian Reich
|
| Localización |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.46.2783
|
| Versión |
1.0 |
| Estado |
Final
|
| Descripción |
The symplectic numerical integration of finite-dimensional Hamiltonian systems is a well established subject and has led to a deeper understanding of exisiting methods as well as to the development of new very efficient and accurate schemes, e.g., for rigid body, constrained, and molecular dynamics. The numerical integration of infinite-dimensional Hamiltonian systems or Hamiltonian PDEs is much less explored. In this paper, we suggest a new theoretical framework for generalizing symplectic numerical integrators for ODEs to Hamiltonian PDEs in R 2 : time plus one space dimension. The central idea is that symplecticity for Hamiltonian PDEs is directional: the symplectic structure of the PDE is decomposed into distinct components representing space and time independently. In this setting PDE integrators can be constructed by concatenating uni-directional ODE symplectic integrators. This suggests a natural definition of multi-symplectic integrator as a discretization that conserves a di...
|
| Tipo |
application/postscript
|
| Tipo de recurso |
Texto Narrativo
|
| Tipo de Interactividad |
Expositivo
|
| Nivel de Interactividad |
muy bajo
|
| Audiencia |
Estudiante
Profesor
Autor
|
| Estructura |
Atomic |
| Coste |
no
|
| Copyright |
sí
|
|
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Formatos |
application/postscript
|
| Requerimientos técnicos |
Browser: Any
|
| Relación |
[IsBasedOn] http://www.maths.surrey.ac.uk/personal/st/S.Reich/99_1.ps
[References] 10.1.1.40.5346
[References] 10.1.1.134.9516
[References] 10.1.1.46.2374
[References] 10.1.1.25.9399
[References] 10.1.1.46.286
[References] 10.1.1.33.5501
[References] 10.1.1.75.7488
[References] 10.1.1.33.7034
[References] 10.1.1.58.6430
[References] 10.1.1.2.1910
[References] 10.1.1.105.3306
[References] 10.1.1.107.2102
[References] 10.1.1.65.7775
[References] 10.1.1.74.539
[References] 10.1.1.74.8646
[References] 10.1.1.88.7859
[References] 10.1.1.92.217
[References] 10.1.1.111.5133
[References] 10.1.1.118.3779
|
| Fecha de contribución |
31-jul-2009 |
| Contacto |
|
|
|
|
|
Valoración de los usuarios
No hay ninguna valoración para este recurso. Sea el primero en
valorar este recurso.
|
|
|
|
