Integration algorithms and classical mechanics
Jerrold E. Marsden, George W. Patrick, William F. Shadwick, editors.
Providence, R.I. : American Mathematical Society, ©1996.
xii, 244 págs. ; 27 cm.
Serie: Fields Institute communications, ISSN 1069-5265 ; v. 10
ISBN: 0821802593
Proceedings of the conference held at the Fields Institute in October, 1993.
Includes bibliographical references.
Reseña: MathSciNet, 97c:65008
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.