Integration Algorithms for Classical Mechanics

, by Marsden, Jerrold E.; Patrick, George W.; Shadwick, W. F.

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ISBN: 9780821802595 | 0821802593
Cover: Hardcover
Copyright: 8/1/1996

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Dedicated to the late Juan Calos 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.

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Formulation of a new class of fractional-step methods for the incompressible MHD equations that retains the long-term dissipativity of the continuum..
Symplectic methods for conservative multibody systems
An introduction to symplectic integrators
Symplectic maps and computation of orbits in particle accelerators
Arnold diffusion in symplectic lattice maps
Integrable Hamiltonians from close approximations to invariant tori
Exhaustive search of symplectic integrators using computer algebra
Conserving algorithms for the $N$ dimensional rigid body
More on symplectic correctors
A survey of open problems in symplectic integration
Symplectic integrators for systems of rigid bodies
Backward error analysis of symplectic integrators
Numerical determination of caustics and their bifurcations
Symplectic correctors
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Integration Algorithms for Classical Mechanics

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