Integration algorithms and classical mechanics. Based on the conference held at the Fields Institute, Waterloo, Canada, October 1993
The articles of this volume will be reviewed individually. Indexed articles: \textit{Armero, F.; Simo, J. C.}, 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, 1-23 [Zbl 0879.76056] \textit{Barth, E.; Leimkuhler, B.}, Symplectic methods for conservative multibody systems, 25-43 [Zbl 0895.70004] \textit{Channell, Paul J.; Neri, Filippo R.}, An introduction to symplectic integrators, 45-58 [Zbl 0871.65057] \textit{Dragt, Alex J.; Abell, Dan T.}, Symplectic maps and computation of orbits in particle accelerators, 59-85 [Zbl 0881.58022] \textit{Earn, David J. D.; Lichtenberg, A. J.}, Arnold diffusion in symplectic lattice maps, 87-91 [Zbl 0879.70015] \textit{Kaasalainen, Mikko; Binney, James}, Integrable Hamiltonians from close approximations to invariant tori, 93-102 [Zbl 0881.58033] The work on Juan Carlos Simo on integration algorithms in mechanics, ix-xii [Zbl 0871.01018] \textit{Koseleff, P.-V.}, Exhaustive search of symplectic integrators using computer algebra, 103-119 [Zbl 0883.70002] \textit{Lewis, Debra; Simo, J. C.}, Conserving algorithms for the \(N\) dimensional rigid body, 121-139 [Zbl 0876.58044] \textit{McLachlan, Robert I.}, More on symplectic correctors, 141-149 [Zbl 0872.65060] \textit{McLachlan, Robert I.; Scovel, Clint}, A survey of open problems in symplectic integration, 151-180 [Zbl 0871.65058] \textit{Reich, Sebastian}, Symplectic integrators for systems of rigid bodies, 181-191 [Zbl 0872.65061] \textit{Sanz-Serna, J. M.}, Backward error analysis of symplectic integrators, 193-205 [Zbl 0871.65079] \textit{Stuchi, T. J.; Vieira-Martins, R.}, Numerical determination of caustics and their bifurcations, 207-216 [Zbl 0881.58025] \textit{Wisdom, J.; Holman, M.; Touma, J.}, Symplectic correctors, 217-244 [Zbl 0871.65059]
scientific article; zbMATH DE number 930338
scientific article