Simulating Hamiltonian Dynamics

Informationen zum Autor Ben Leimkuhler is Professor of Applied Mathematics, and Director of the Centre for Mathematical Modelling at the University of Leicester. Klappentext A complete theoretical framework and guide to numerical geometric integration techniques. Includes examples and exercises. Zusammenfassung 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. Inhaltsverzeichnis 1. Introduction; 2. Numerical methods; 3. Hamiltonian mechanics; 4. Geometric integrators; 5. The modified equations; 6. Higher order methods; 7. Contained mechanical systems; 8. Rigid Body dynamics; 9. Adaptive geometric integrators; 10. Highly oscillatory problems; 11. Molecular dynamics; 12. Hamiltonian PDEs.

Product details

• Authors: B. Leimkuhler, Benedict Leimkuhler, S. Reich, Sebastian Reich
• Publisher: Cambridge University Press Academic
• Languages: English
• Product format: Hardback
• Released: 14.02.2005
• EAN: 9780521772907
• ISBN: 978-0-521-77290-7
• Dimensions: 158 mm x 236 mm x 25 mm
• Series: Cambridge Monographs on Applied and Computational Mathematics; Cambridge Monographs on Applie; Cambridge Monographs on Applied and Computational; Cambridge Monographs on Applied and Computational Mathematics; Cambridge Monographs on Applied and Computational
• Subjects: Education and learning > Teaching preparation > Vocational needs; Natural sciences, medicine, IT, technology > Mathematics > Geometry