Integration algorithms and classical mechanics : [outgrowth of the Conference Integration Algorithms and Classical Mechanics held at the Fields Institute in October 1993] 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 F. Armero and J.C. Simo Symplectic methods for conservative multibody systems E. Barth and B. Leimkuhler An introduction to symplectic integrators P.J. Channell and F.R. Neri Symplectic maps and computation of orbits in particle accelerators A.J. Dragt and D.T. Abell Arnold diffusion in symplectic lattice maps D.J.D. Earn and A.J. Lichtenberg Integrable Hamiltonians from close approximations to invariant tori M. Kaasalainen and J. Binney Exhaustive search of symplectic integrators using computer algebra P. V. Koseleff Conserving algorithms for the N dimensional rigid body D. Lewis and J.C. Simo More on symplectic correctors R.I. McLachlan A survey of open problems in symplectic integration R.I. McLachlan and C. Scovel Symplectic integrators for systems of rigid bodies S. Reich Backward error analysis of symplectic integrators J.M. Sanz Serna Numerical determination of caustics and their bifurcations T.J. Stuchi and R. Vieira Martins Symplectic correctors J. Wisdom M. Holman and J. Touma