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Catalogue Information
Field name	Details
Dewey Class	516.36
Title	Symplectic Geometric Algorithms for Hamiltonian Systems ([Ebook]) / by Kang Feng, Mengzhao Qin.
Author	Feng, Kang
Added Personal Name	Qin, Mengzhao
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer
Publication	, 2010.
Physical Details	XXIII, 676 pages : online resource.
ISBN	9783642017773
Summary Note	"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.:
Contents note	Preliminaries of Differential 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 Function and Formal Energy -- Symplectic Runge-Kutta Methods -- Composition Scheme -- Formal Power Series and B-Series -- Volume-Preserving Methods for Source-Free Systems -- Free Systems -- Contact Algorithms for Contact Dynamic 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.Â Â Â Â .
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-642-01777-3
Links to Related Works	Subject References: Algebraic Topology . Computational Mathematics and Numerical Analysis . Engineering Fluid Dynamics . Geometry . Hamiltonian systems . Hydraulic engineering . Quantum theory . Authors: author . Feng, Kang . Qin, Mengzhao . Corporate Authors: SpringerLink (Online service) . Classification: 516.36 . 516.36 (DDC 23) .

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Symplectic Geometric Algorithms for Hamiltonian Systems

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