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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2010.
|
| Edición: | 1st ed. 2010. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-01777-3 | ||
| 003 | DE-He213 | ||
| 005 | 20220114102919.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110719s2010 gw | s |||| 0|eng d | ||
| 020 | |a 9783642017773 |9 978-3-642-01777-3 | ||
| 024 | 7 | |a 10.1007/978-3-642-01777-3 |2 doi | |
| 050 | 4 | |a QA641-670 | |
| 072 | 7 | |a PBMP |2 bicssc | |
| 072 | 7 | |a MAT012030 |2 bisacsh | |
| 072 | 7 | |a PBMP |2 thema | |
| 082 | 0 | 4 | |a 516.36 |2 23 |
| 100 | 1 | |a Feng, Kang. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Symplectic Geometric Algorithms for Hamiltonian Systems |h [electronic resource] / |c by Kang Feng, Mengzhao Qin. |
| 250 | |a 1st ed. 2010. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2010. | |
| 300 | |a XXIII, 676 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a 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. | |
| 520 | |a "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. | ||
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Algebraic topology. | |
| 650 | 0 | |a Mathematics-Data processing. | |
| 650 | 0 | |a Geometry. | |
| 650 | 0 | |a Quantum physics. | |
| 650 | 0 | |a Fluid mechanics. | |
| 650 | 1 | 4 | |a Differential Geometry. |
| 650 | 2 | 4 | |a Algebraic Topology. |
| 650 | 2 | 4 | |a Computational Mathematics and Numerical Analysis. |
| 650 | 2 | 4 | |a Geometry. |
| 650 | 2 | 4 | |a Quantum Physics. |
| 650 | 2 | 4 | |a Engineering Fluid Dynamics. |
| 700 | 1 | |a Qin, Mengzhao. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642017780 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642017766 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642443664 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-01777-3 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||