000 | 03101nam a22005175i 4500 | ||
---|---|---|---|
001 | u373401 | ||
003 | SIRSI | ||
005 | 20160812084144.0 | ||
007 | cr nn 008mamaa | ||
008 | 110719s2010 gw | s |||| 0|eng d | ||
020 |
_a9783642017773 _9978-3-642-01777-3 |
||
040 | _cMX-MeUAM | ||
050 | 4 | _aQA71-90 | |
082 | 0 | 4 |
_a518 _223 |
082 | 0 | 4 |
_a518 _223 |
100 | 1 |
_aFeng, Kang. _eauthor. |
|
245 | 1 | 0 |
_aSymplectic Geometric Algorithms for Hamiltonian Systems _h[recurso electrónico] / _cby Kang Feng, Mengzhao Qin. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2010. |
|
300 |
_aXXIII, 676 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
505 | 0 | _aPreliminaries 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 | _aMathematics. | |
650 | 0 |
_aComputer science _xMathematics. |
|
650 | 0 | _aGeometry. | |
650 | 0 | _aAlgebraic topology. | |
650 | 0 | _aQuantum theory. | |
650 | 0 | _aHydraulic engineering. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aComputational Mathematics and Numerical Analysis. |
650 | 2 | 4 | _aGeometry. |
650 | 2 | 4 | _aAlgebraic Topology. |
650 | 2 | 4 | _aQuantum Physics. |
650 | 2 | 4 | _aEngineering Fluid Dynamics. |
700 | 1 |
_aQin, Mengzhao. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642017766 |
856 | 4 | 0 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-01777-3 |
596 | _a19 | ||
942 | _cLIBRO_ELEC | ||
999 |
_c201281 _d201281 |