Simulating Hamiltonian Dynamics

Reich Sebastian Leimkuhler Benedict

ISBN 10: 0521772907 / ISBN 13: 9780521772907

Edité par Cambridge University Press, 2005

pp. 396 Illus. N° de réf. du vendeur 7584886

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.

À propos des auteurs: 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.

Détails bibliographiques

Titre : Simulating Hamiltonian Dynamics
Éditeur : Cambridge University Press
Date d'édition : 2005
Reliure : Couverture rigide
Etat : New