Symplectic Geometric Algorithms for Hamiltonian Systems

"Symplectic Geometric Algorithms for Hamiltonian Systems" will be useful not only for numerical analysts, but also for those in theoretical physics, computational chemistry, celestial mechanics, etc. The book generalizes and develops the generating function and Hamilton-Jacobi equation the...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Feng, Kang (Autor), Qin, Mengzhao (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Edición:1st ed. 2010.
Temas:
Geometry, Differential.
Algebraic topology.
Mathematics-Data processing.
Geometry.
Quantum physics.
Fluid mechanics.
Differential Geometry.
Algebraic Topology.
Computational Mathematics and Numerical Analysis.
Quantum Physics.
Engineering Fluid Dynamics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preliminaries of Differentiable Manifolds
  • Symplectic Algebra and Geometry Preliminaries
  • Hamiltonian Mechanics and Symplectic Geometry
  • Symplectic Difference Schemes for Hamiltonian Systems
  • The Generating Function Method
  • The Calculus of Generating Functions and Formal Energy
  • Symplectic Runge-Kutta Methods
  • Composition Scheme
  • Formal Power Series and B-Series
  • Volume-Preserving Methods for Source-Free Systems
  • Contact Algorithms for Contact Dynamical Systems
  • Poisson Bracket and Lie-Poisson Schemes
  • KAM Theorem of Symplectic Algorithms
  • Lee-Variational Integrator
  • Structure Preserving Schemes for Birkhoff Systems
  • Multisymplectic and Variational Integrators.

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