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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… Click to show full abstract
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.
Keywords:
applied gradient;
step;
bdf3 scheme;
gradient flows;
maximum time;
time step
Journal Title: Calcolo
Year Published: 2020
Link to full text (if available)
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Journal Title: Calcolo
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!