An Energy Stable Filtered Backward Euler Scheme for the MBE Equation with Slope Selection
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Publication:5885726
DOI10.4208/nmtma.OA-2022-0072OpenAlexW4320351585MaRDI QIDQ5885726
Ying Zhao, Hong-lin Liao, Jie Xin Wang
Publication date: 4 April 2023
Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/nmtma.oa-2022-0072
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)
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Cites Work
- Unnamed Item
- Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection
- Unconditionally stable schemes for equations of thin film epitaxy
- A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
- A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD
- Energy stability of BDF methods up to fifth-order for the molecular beam epitaxial model without slope selection
- Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model
- Compatible \(L^2\) norm convergence of variable-step L1 scheme for the time-fractional MBE model with slope selection
- Optimal rate convergence analysis of a second order scheme for a thin film model with slope selection
- A second order operator splitting numerical scheme for the ``good Boussinesq equation
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- Convergence of a Fast Explicit Operator Splitting Method for the Epitaxial Growth Model with Slope Selection
- An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models
- A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection
- An adaptive BDF2 implicit time-stepping method for the phase field crystal model
- Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance
- Stability of Variable-Step BDF2 and BDF3 Methods
- On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation
- A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection
- Goal‐oriented space–time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow
- Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
- Analysis of adaptive BDF2 scheme for diffusion equations
