Energy dissipation laws of time filtered BDF methods up to fourth-order for the molecular beam epitaxial equation

DOI10.1016/j.cnsns.2024.108017zbMath1537.65109MaRDI QIDQ6543591

Jie Xin Wang, Hong-lin Liao, Yuanyuan Kang

Publication date: 24 May 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

energy dissipation lawdiscrete gradient structureadaptive time-stepping algorithmnonuniform time meshestime filtered BDF method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Partial differential equations of mathematical physics and other areas of application (35Q99)

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