An automatic time-stepping algorithm for dynamic problems (Q797039)

The paper discusses algorithms for automatic computation of time steps in discrete integration of dynamic problems. Objective criteria for performance and guidelines for making an algorithm practically applicable are suggested. A set of parameters for characterizing the dynamic response of a system is proposed, this includes a 'current frequency', a 'current period', and a 'dynamic stiffness parameter'. An algorithm for automatic computation of the time step based on the current period is outlined. Aspects of adapting this algorithm to special types of applications are discussed, this involves use of a 'tuning function'. Several examples of applications are given.