Energy stability of BDF methods up to fifth-order for the molecular beam epitaxial model without slope selection

DOI10.1007/s10915-022-01830-xzbMath1490.74008OpenAlexW4220702686MaRDI QIDQ2147461

Yuanyuan Kang, Hong-lin Liao

Publication date: 20 June 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-022-01830-x

zbMATH Keywords

discrete orthogonal convolution kernelshigh-order BDF scheme\(L^2\) norm error estimatediscrete gradient structureenergy dissipation lawsMBE growth model

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) 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) Partial differential equations of mathematical physics and other areas of application (35Q99)

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