Multi-Symplectic Integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
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Multi-Symplectic Integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
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| Id. |
41672325 |
| Idioma |
inglés
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| Titulo |
Multi-Symplectic Integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity |
| Autor(es) |
Thomas J. Bridges,Sebastian Reich
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| Localización |
http://citeseer.ist.psu.edu/237209.html
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| Versión |
1.0 |
| Estado |
Final
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| 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
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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...
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| Tipo |
ps
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| Palabras clave |
Thomas J. Bridges,Sebastian Reich Multi-Symplectic Integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
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| Tipo de Interactividad |
Expositivo
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| Nivel de Interactividad |
muy bajo
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| Audiencia |
Estudiante
Profesor
Autor
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| Estructura |
Atomic |
| Coste |
no
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| Copyright |
sí
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unrestricted |
| Formatos |
ps
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| Requerimientos técnicos |
Browser: Any
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| Relación |
[IsBasedOn] http://www.maths.surrey.ac.uk/personal/st/S.Reich/99_1.ps
[References] oai:CiteSeerPSU:266875
[References] oai:CiteSeerPSU:25737
[References] oai:CiteSeerPSU:442785
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| Fecha de contribución |
31-mar-2009 |
| Contacto |
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