Simulating Hamiltonian dynamics /

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 an...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Leimkuhler, B.
Other Authors: Reich, Sebastian
Format: Electronic eBook
Language:Inglés
Published: Cambridge, UK ; New York : Cambridge University Press, 2005.
Series:Cambridge monographs on applied and computational mathematics ; 14.
Subjects:
Hamiltonian systems.
Systèmes hamiltoniens.
MATHEMATICS > Differential Equations > General.
Hamiltonsches System
Konservatives System
Numerisches Verfahren
Simulation
Numerische Integration.
Online Access:Texto completo
Table of 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.

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