Verwandte Artikel zu Simulating Hamiltonian Dynamics Hardback: 14 (Cambridge...
Simulating Hamiltonian Dynamics Hardback: 14 (Cambridge Monographs on Applied and Computational Mathematics, Series Number 14) - Hardcover
Inhaltsangabe
Geometric integrators are time-stepping 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 exercises.
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Críticas
'... this new book on geometric integration of Hamiltonian systems is a valuable addition to the subject that may be very useful not only as a textbook for courses in computational dynamics but also for researchers in the design of effective integrators in molecular dynamics and other areas of applied mathematics because it includes most of the recent research in the subject.' Zentralblatt MATH
'I highly recommend it for a graduate course on multivariate approximation theory, computer-aided geometric design, and meshless methods for partial differential equations.' Numerical Algorithms
Biografía del autor
Ben Leimkuhler is Professor of Applied Mathematics, and Director of the Centre for Mathematical Modelling at the University of Leicester.
Sebastian Reich is Professor of Computational and Mathematical Modelling at Imperial College London.
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- VerlagCambridge University Press
- Erscheinungsdatum2005
- ISBN 10 0521772907
- ISBN 13 9780521772907
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten396
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Simulating Hamiltonian Dynamics 2004. Hardcover. xvi,379pp. References. Index. Cambridge Manographs on Applied and Computational Mathematics, 14.
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Cambridge University Press, 2005
ISBN 10: 0521772907
ISBN 13: 9780521772907
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Simulating Hamiltonian Dynamics (Cambridge Monographs on Applied and Computational Mathematics, Series Number 14)
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Simulating Hamiltonian Dynamics
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Geometric integrators are time-stepping methods, designed such that they exactly satisfy conservation laws, symmetries or symplectic properties of a system of differential equations. In this book the authors outline the principles of geometric integration and demonstrate how they can be applied to provide efficient numerical methods for simulating conservative models. Beginning from basic principles and continuing with discussions regarding the advantageous properties of such schemes, the book introduces methods for the N-body problem, systems with holonomic constraints, and rigid bodies. More advanced topics treated include high-order and variable stepsize methods, schemes for treating problems involving multiple time-scales, and applications to molecular dynamics and partial differential equations. The emphasis is on providing a unified theoretical framework as well as a practical guide for users. The inclusion of examples, background material and exercises enhance the usefulness of the book for self-instruction or as a text for a graduate course on the subject. Artikel-Nr. 9780521772907
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Simulating Hamiltonian Dynamics
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Hardcover. Zustand: Brand New. 379 pages. 9.00x6.00x1.00 inches. In Stock. Artikel-Nr. x-0521772907
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