Symplectic Geometric Algorithms for Hamiltonian Systems [recurso electrónico] / by Kang Feng, Mengzhao Qin.

Por: Feng, Kang [author.]Colaborador(es): Qin, Mengzhao [author.] | SpringerLink (Online service)Tipo de material: TextoTextoEditor: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010Descripción: XXIII, 676 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642017773Tema(s): Mathematics | Computer science -- Mathematics | Geometry | Algebraic topology | Quantum theory | Hydraulic engineering | Mathematics | Computational Mathematics and Numerical Analysis | Geometry | Algebraic Topology | Quantum Physics | Engineering Fluid DynamicsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 518 | 518 Clasificación LoC:QA71-90Recursos en línea: Libro electrónicoTexto
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.
En: Springer eBooksResumen: "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 theory from the perspective of the symplectic geometry and symplectic algebra. It will be a useful resource for engineers and scientists in the fields of quantum theory, astrophysics, atomic and molecular dynamics, climate prediction, oil exploration, etc. Therefore a systematic research and development of numerical methodology for Hamiltonian systems is well motivated. Were it successful, it would imply wide-ranging applications.
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Existencias
Tipo de ítem Biblioteca actual Colección Signatura Copia número Estado Fecha de vencimiento Código de barras
Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QA71 -90 (Browse shelf(Abre debajo)) 1 No para préstamo 373401-2001

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.

"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 theory from the perspective of the symplectic geometry and symplectic algebra. It will be a useful resource for engineers and scientists in the fields of quantum theory, astrophysics, atomic and molecular dynamics, climate prediction, oil exploration, etc. Therefore a systematic research and development of numerical methodology for Hamiltonian systems is well motivated. Were it successful, it would imply wide-ranging applications.

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