Energy and accuracy issues in numerical simulations of a non-linear impact model

A physically-based impact model ‐ already known and exploited in the field of sound synthesis ‐ is studied using both analytical tools and numerical simulations. It is shown that, for some regions of the parameter space, the trajectories of discretized systems may drift from analytically-derived curves. Some methods, based on enforcing numerical energy consistency, are suggested to improve the accuracy and stability of discrete-time systems.

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