Unconditionally energy stable high-order BDF schemes for the molecular beam epitaxial model without slope selection

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)

Cites Work

A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection
Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations
Unconditionally stable schemes for equations of thin film epitaxy
A linear energy stable scheme for a thin film model without slope selection
Two energy stable variable-step L1 schemes for the time-fractional MBE model without slope selection
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
The BDF3/EP3 scheme for MBE with no slope selection is stable
Backward difference formulae: new multipliers and stability properties for parabolic equations
Backward difference time discretization of parabolic differential equations on evolving surfaces
Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
Parallel Energy-Stable Solver for a Coupled Allen--Cahn and Cahn--Hilliard System
An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model
Stability of Implicit-Explicit Backward Difference Formulas For Nonlinear Parabolic Equations
Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection
Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
\(L^2\) norm error estimates of BDF methods up to fifth-order for the phase field crystal model

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