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Integration algorithms and classical mechanics / Jerrold E. Marsden, George W. Patrick, William F. Shadwick, editors.
— Providence, R.I. : American Mathematical Society, c1996. xii, 244 p. ; 27 cm. — (Fields Institute communications, ISSN 1069-5265 ; v. 10)
Proceedings of the conference held at the Fields Institute in October, 1993.
Includes bibliographical references.
Contenido: The work of Juan Carlos Simo on integration algorithms in mechanics — F. Armero and J. C. Simo, Formulation of a new class of fractional-step methods for the incompressible MHD equations that retains the long-term dissipativity of the continuum dynamical system — E. Barth and B. Leimkuhler, Symplectic methods for conservative multibody systems — Paul J. Channell and Filippo R. Neri, An introduction to symplectic integrators — Alex J. Dragt and Dan T. Abell, Symplectic maps and computation of orbits in particle accelerators — David J. D. Earn and A. J. Lichtenberg, Arnold diffusion in symplectic lattice maps — Mikko Kaasalainen and James Binney, Integrable Hamiltonians from close approximations to invariant tori — P.-V. Koseleff, Exhaustive search of symplectic integrators using computer algebra — D. Lewis and J. C. Simo, Conserving algorithms for the $N$-dimensional rigid body — Robert I. McLachlan, More on symplectic correctors — Robert I. McLachlan and Clint Scovel, A survey of open problems in symplectic integration — Sebastian Reich, Symplectic integrators for systems of rigid bodies — J. M. Sanz-Serna, Backward error analysis of symplectic integrators — T. J. Stuchi and R. Vieira-Martins, Numerical determination of caustics and their bifurcations — J. Wisdom, M. Holman and J. Touma, Symplectic correctors.
ISBN 0821802593
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