Maximum time step for the BDF3 scheme applied to gradient flows
CALCOLO(2021)
摘要
For backward differentiation formulae (BDF) applied to gradient flows of semiconvex functions, quadratic stability implies the existence of a Lyapunov functional. We compute the maximum time step which can be derived from quadratic stability for the 3-step BDF method (BDF3). Applications to the asymptotic behaviour of sequences generated by the BDF3 scheme are given.
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关键词
Gradient system, BDF method, Semiconvex function, Kurdyka-Lojasiewicz property, Multivalued dynamical system
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