Title Simulating Hamiltonian dynamics / Benedict Leimkuhler, Sebastian Reich

Published Cambridge, UK ; New York : Cambridge University Press, 2005

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Description 1 online resource (xvi, 379 pages) : illustrations Series Cambridge monographs on applied and computational mathematics ; 14 Cambridge monographs on applied and computational mathematics ; 14. Contents 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 Summary 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 Bibliography Includes bibliographical references (pages 357-373) and index Notes Print version record Subject Hamiltonian systems. MATHEMATICS -- Differential Equations -- General. Hamiltonian systems Hamiltonsches System Konservatives System Numerisches Verfahren Simulation Numerische Integration Form Electronic book Author Reich, Sebastian ISBN 0511080808 9780511080807 9780511614118 051161411X

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