Gradient stability of high-order BDF methods and some applications

DOI10.1080/10236198.2019.1709062zbMath1437.65082OpenAlexW2998181230WikidataQ126413714 ScholiaQ126413714MaRDI QIDQ4959989

Anass Bouchriti, Morgan Pierre, Nour Eddine Alaa

Publication date: 8 April 2020

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2019.1709062

zbMATH Keywords

gradient flowAllen-Cahn equationbackward differentiationLojasiewicz-Simon inequality

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical differentiation (65D25) Numerical nonlinear stabilities in dynamical systems (65P40) Numerical methods for difference equations (65Q10)

Related Items (6)

A convex splitting BDF2 method with variable time-steps for the extended Fisher-Kolmogorov equation ⋮ Maximum time step for the BDF3 scheme applied to gradient flows ⋮ An adaptive social distancing SIR model for COVID-19 disease spreading and forecasting ⋮ Maximum time step for high order BDF methods applied to gradient flows ⋮ Convergence to equilibrium for time and space discretizations of the Cahn-Hilliard equation ⋮ REMARKS ON THE ASYMPTOTIC BEHAVIOR OF SCALAR AUXILIARY VARIABLE (SAV) SCHEMES FOR GRADIENT-LIKE FLOWS

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