Fields Institute Communications 1996; 244 pp; hardcover Volume: 10 ISBN10: 0821802593 ISBN13: 9780821802595 List Price: US$96 Member Price: US$76.80 Order Code: FIC/10
 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 energymomentum methods and related themes. Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada). Readership Graduate students and research mathematicians, physicists, astrophysicists, and engineers interested in mechanics of particles and systems. Table of Contents  F. Armero and J. Simo  Formulation of a new class of fractionalstep methods for the incompressible MHD equations that retains the longterm dissipativity of the continuum..
 E. J. Barth and B. J. Leimkuhler  Symplectic methods for conservative multibody systems
 P. J. Channell and F. R. Neri  An introduction to symplectic integrators
 A. J. Dragt and D. T. Abell  Symplectic maps and computation of orbits in particle accelerators
 D. J. D. Earn and A. Lichtenberg  Arnold diffusion in symplectic lattice maps
 M. Kaasalainen and J. Binney  Integrable Hamiltonians from close approximations to invariant tori
 P. V. Koseleff  Exhaustive search of symplectic integrators using computer algebra
 D. K. Lewis and J. Simo  Conserving algorithms for the \(N\) dimensional rigid body
 R. I. McLachlan  More on symplectic correctors
 R. I. McLachlan and C. Scovel  A survey of open problems in symplectic integration
 S. Reich  Symplectic integrators for systems of rigid bodies
 J. M. SanzSerna  Backward error analysis of symplectic integrators
 T. J. Stuchi and R. VieiraMartins  Numerical determination of caustics and their bifurcations
 J. Wisdom, M. Holman, and J. Touma  Symplectic correctors
