A second-order linearized three-level backward Euler scheme for a class of nonlinear expitaxial growth model

DOI10.1080/00207160.2014.983913zbMath1339.65110OpenAlexW2120737901MaRDI QIDQ2804028

Guang-hua Gao, Rui Du, Zhi-zhong Sun

Publication date: 27 April 2016

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2014.983913

zbMATH Keywords

stabilityconvergencefinite differencenonlinear expitaxial growth model

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

• Epitaxial growth without slope selection: energetics, coarsening, and dynamic scaling
• Singular perturbation and the energy of folds
• Island dynamics and the level set method for epitaxial growth
• The stability and convergence of two linearized finite difference schemes for the nonlinear epitaxial growth model
• Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
• Proposed experimental tests of a theory of fine microstructure and the two-well problem
• Surface energy and microstructure in coherent phase transitions
• Thin film epitaxy with or without slope selection
• Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models

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