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Nonholonomic Newmark method (2201.13162v1)

Published 31 Jan 2022 in math.NA, cs.NA, math-ph, math.DG, and math.MP

Abstract: Using the nonholonomic exponential map, we generalize the well-known family of Newmark methods for nonholonomic systems. We give numerical examples including a test problem where the structure of reversible integrability responsible for good energy behaviour as described in [16] is lost. We observe that the composition of two Newmark methods is able to produce good energy behaviour on this test problem.

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