Integration Algorithms And Classical Mechanics
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Integration Algorithms and Classical Mechanics
Author: Jerrold E. Marsden
language: en
Publisher: American Mathematical Soc.
Release Date: 1996
Dedicated to the late Juan Carlos Simo, this volume contains the proceedings of a workshop held at the Fields Institute in October 1993. The articles focus on current algorithms for the integration of mechanical systems, from systems in celestial mechanics to coupled rigid bodies to fluid mechanics. The scope of the articles ranges from symplectic integration methods to energy-momentum methods and related themes.
Integration Algorithms and Classical Mechanics
Author: Jerrold E. Marsden, George W. Patrick, and William F. Shadwick
language: en
Publisher: American Mathematical Soc.
Release Date:
Dedicated to the late Juan Carlos Simo, this volume contains the proceedings of a workshop held at the Fields Institute in October 1993. The articles focus on current algorithms for the integration of mechanical systems, from systems in celestial mechanics to coupled rigid bodies to fluid mechanics. The scope of the articles ranges from symplectic integration methods to energy-momentum methods and related themes.
Symplectic Geometric Algorithms for Hamiltonian Systems
Author: Kang Feng
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-10-18
"Symplectic Geometric Algorithms for Hamiltonian Systems" will be useful not only for numerical analysts, but also for those in theoretical physics, computational chemistry, celestial mechanics, etc. The book generalizes and develops the generating function and Hamilton-Jacobi equation theory from the perspective of the symplectic geometry and symplectic algebra. It will be a useful resource for engineers and scientists in the fields of quantum theory, astrophysics, atomic and molecular dynamics, climate prediction, oil exploration, etc. Therefore a systematic research and development of numerical methodology for Hamiltonian systems is well motivated. Were it successful, it would imply wide-ranging applications.