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.
Formulation of a new class of fractional-step methods for the incompressible MHD equations that retains the long-term dissipativity of the continuum.. by F. Armero and J. Simo Symplectic methods for conservative multibody systems by E. J. Barth and B. J. Leimkuhler An introduction to symplectic integrators by P. J. Channell and F. R. Neri Symplectic maps and computation of orbits in particle accelerators by A. J. Dragt and D. T. Abell Amold diffusion in symplectic lattice maps by D. J. D. Earn and A. Lichtenberg Integrable Hamiltonians from close approximations to invariant tori by M. Kaasalainen and J. Binney Exhaustive search of symplectic integrators using computer algebra by P. V. Koseleff Conserving algorithms for the $N$ dimensional rigid body by D. K. Lewis and J. Simo More on symplectic correctors by R. I. McLachlan A survey of open problems in symplectic integration by R. I. McLachlan and C. Scovel Symplectic integrators for systems of rigid bodies by S. Reich Backward error analysis of symplectic integrators by J. M. Sanz-Serna Numerical determination of caustics and their bifurcations by T. J. Stuchi and R. Vieira-Martins Symplectic correctors by J. Wisdom, M. Holman, and J. Touma.