000 -LEADER |
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03033nam a22005055i 4500 |
003 - CONTROL NUMBER IDENTIFIER |
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OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20140310151454.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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110719s2010 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783642017773 |
|
978-3-642-01777-3 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA71-90 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
518 |
Edition number |
23 |
|
Classification number |
518 |
Edition number |
23 |
264 #1 - |
-- |
Berlin, Heidelberg : |
-- |
Springer Berlin Heidelberg : |
-- |
Imprint: Springer, |
-- |
2010. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Feng, Kang. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Symplectic Geometric Algorithms for Hamiltonian Systems |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Kang Feng, Mengzhao Qin. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XXIII, 676 p. |
Other physical details |
online resource. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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 ## - SUMMARY, ETC. |
Summary, etc |
"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 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Computer science |
General subdivision |
Mathematics. |
|
Topical term or geographic name as entry element |
Geometry. |
|
Topical term or geographic name as entry element |
Algebraic topology. |
|
Topical term or geographic name as entry element |
Quantum theory. |
|
Topical term or geographic name as entry element |
Hydraulic engineering. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Computational Mathematics and Numerical Analysis. |
|
Topical term or geographic name as entry element |
Geometry. |
|
Topical term or geographic name as entry element |
Algebraic Topology. |
|
Topical term or geographic name as entry element |
Quantum Physics. |
|
Topical term or geographic name as entry element |
Engineering Fluid Dynamics. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Qin, Mengzhao. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9783642017766 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-01777-3 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |