## New methods in transient analysis: presented at the Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, California, November 8-13, 1992 |

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### Contents

Explicit MultiTime Step Methods for Structural Dynamics | 1 |

An Explicit MultiTime Step Integration for Parabolic and Hyperbolic Systems | 25 |

Conserving Algorithms for Nonlinear Dynamics | 41 |

Copyright | |

10 other sections not shown

### Common terms and phrases

accuracy airfoil algorithm angular momentum Applied Mechanics approximate averaging rule Belytschko boundary conditions boundary layer cell central difference components computed conservation laws conserving algorithm constitutive equation convergence cylinder damping defined deformation denotes density derived domain dynamic system elastic Engineering Eulerian finite difference finite-spectral-wave elements finite-wave element Flow past forcing function formulation frequency content generalized-a method given gradient impact implicit integration algorithm integration methods interface interpolation Klein-Gordon equation Lagrangian layer algorithm linear Lyapunov Exponents mass matrix material points Methods in Transient multi-time step NLKGE nodal group nodal partitions nodes nonlinear numerical dissipation numerical examples numerical transfer function obtained order systems penetration plastic preconditioner problem procedure projectile response Reynolds number scheme second order shape functions simulation sine-Gordon equation Smolinski solitons solved spectral radius stability analysis stability condition strain structural dynamic subcycling surface Theorem tion truncation error update vector velocity vorticity wave window function zero