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Step size adjustment and extrapolation for time‐stepping schemes in non‐smooth dynamics

Step size adjustment and extrapolation for time‐stepping schemes in non‐smooth dynamics

Abstract In this paper we use step size adjustment and extrapolation methods to improve Moreau's time‐stepping scheme for the numerical integration of non‐smooth mechanical systems, i.e. systems with impact and friction. The scheme yields a system of inclusions, which is transformed into a system of projective equations. These equations are …