Energy stable and convergent BDF3-5 schemes for the molecular beam epitaxial model with slope selection

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Structured surfaces and interfaces, coexistent phases (74A50) 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)

Cites Work

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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
Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation
Regularized linear schemes for the molecular beam epitaxy model with slope selection
Highly efficient and accurate numerical schemes for the epitaxial thin film growth models by using the SAV approach
An improved gradient bound for 2D MBE
Energy stability of BDF methods up to fifth-order for the molecular beam epitaxial model without slope selection
Stability and error estimate of the operator splitting method for the phase field crystal equation
The BDF3/EP3 scheme for MBE with no slope selection is stable
Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
Error Analysis of a Mixed Finite Element Method for the Molecular Beam Epitaxy Model
Convergence of a Fast Explicit Operator Splitting Method for the Epitaxial Growth Model with Slope Selection
Spectral Methods
An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models
The stability and convergence of two linearized finite difference schemes for the nonlinear epitaxial growth model
A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection
Thin film epitaxy with or without slope selection
Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation
A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model
Arbitrarily High-Order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models

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