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Item Details
| Title:
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SIMULATING HAMILTONIAN DYNAMICS
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| By: |
Benedict Leimkuhler, Sebastian Reich |
| Format: |
Electronic book text |
| List price:
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£135.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
051161411X |
| ISBN 13: |
9780511614118 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
4 December, 2009 |
| Series: |
Cambridge Monographs on Applied and Computational Mathematics 14 |
| Description: |
A complete theoretical framework and guide to numerical geometric integration techniques. Includes examples and exercises. |
| Synopsis: |
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. |
| Illustrations: |
71 b/w illus. 5 tables 80 exercises |
| Publication: |
UK |
| Imprint: |
Cambridge University Press (Virtual Publishing) |
| Returns: |
Non-returnable |
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A celebratory, inclusive and educational exploration of Ramadan and Eid al-Fitr for both children that celebrate and children who want to understand and appreciate their peers who do.
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