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Simulating Hamiltonian Dynamics.
~
Ablowitz, M. J.
Simulating Hamiltonian Dynamics.
Record Type:
Electronic resources : Monograph/item
Title/Author:
Simulating Hamiltonian Dynamics./
Author:
Leimkuhler, Benedict.
other author:
Ablowitz, M. J.
Published:
Cambridge :Cambridge University Press, : 2005.,
Description:
397 p.
Subject:
Hamiltonian systems. -
Online resource:
Click here to view book
ISBN:
9780511614118 (electronic bk.)
Simulating Hamiltonian Dynamics.
Leimkuhler, Benedict.
Simulating Hamiltonian Dynamics.
[electronic resource]. - Cambridge :Cambridge University Press,2005. - 397 p.
Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Acknowledgements; 1 Introduction; 2 Numerical methods; 3 Hamiltonian mechanics; 4 Geometric integrators; 5 The modified equations; 6 Higher-order methods; 7 Constrained mechanical systems; 8 Rigid body dynamics; 9 Adaptive geometric integrators; 10 Highly oscillatory problems; 11 Molecular dynamics; 12 Hamiltonian PDEs; References; Index
Geometric integrators are timestepping methods, designed to exactly satisfy properties inherent in a system of differential equations. Beginning from basic principles of geometric integration and a discussion of the advantageous properties of such schemes, the book introduces a variety of methods and applications. Includes examples and excercises.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511614118 (electronic bk.)Subjects--Topical Terms:
128802
Hamiltonian systems.
Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA614.83 .L45 2004eb
Dewey Class. No.: 515/.39
Simulating Hamiltonian Dynamics.
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Simulating Hamiltonian Dynamics.
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[electronic resource].
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Cambridge :
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2005.
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Cambridge University Press,
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397 p.
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Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Acknowledgements; 1 Introduction; 2 Numerical methods; 3 Hamiltonian mechanics; 4 Geometric integrators; 5 The modified equations; 6 Higher-order methods; 7 Constrained mechanical systems; 8 Rigid body dynamics; 9 Adaptive geometric integrators; 10 Highly oscillatory problems; 11 Molecular dynamics; 12 Hamiltonian PDEs; References; Index
520
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Geometric integrators are timestepping methods, designed to exactly satisfy properties inherent in a system of differential equations. Beginning from basic principles of geometric integration and a discussion of the advantageous properties of such schemes, the book introduces a variety of methods and applications. Includes examples and excercises.
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Available via World Wide Web.
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Mode of access: World Wide Web.
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Hamiltonian systems.
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Ablowitz, M. J.
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Davis, S. H.
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Hinch, E. J.
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Iserles, A.
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Ockendon, J.
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Olver, P. J.
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Reich, Sebastian.
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Click here to view book
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http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511614118
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