Efficient high-order backward difference formulae for Cahn-Hilliard equation with the gradient flow in $H^{-\alpha}$

Cites Work

Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations
Convergence of solutions for the fractional Cahn-Hilliard system
An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition
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
Numerical approximation of the fractional Cahn-Hilliard equation by operator splitting method
A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation
Energy stable numerical schemes for the fractional-in-space Cahn-Hilliard equation
What is the fractional Laplacian? A comparative review with new results
A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations
An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching
A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method
A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations
Finite element simulation and efficient algorithm for fractional Cahn-Hilliard equation
Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations
Preconditioned SAV-leapfrog finite difference methods for spatial fractional Cahn-Hilliard equations
Complex-order fractional diffusion in reaction-diffusion systems
Backward difference formulae: New multipliers and stability properties for parabolic equations
Biological Aggregation Driven by Social and Environmental Factors: A Nonlocal Model and Its Degenerate Cahn--Hilliard Approximation
Backward difference time discretization of parabolic differential equations on evolving surfaces
Spectral Methods
Long Time Numerical Simulations for Phase-Field Problems Using $p$-Adaptive Spectral Deferred Correction Methods
Inpainting of Binary Images Using the Cahn–Hilliard Equation
Approximation Results for Orthogonal Polynomials in Sobolev Spaces
Multiplier techniques for linear multistep methods
A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation
Analysis and Approximation of a Fractional Cahn--Hilliard Equation
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation
A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model
An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative
Free Energy of a Nonuniform System. I. Interfacial Free Energy
Stability of Implicit-Explicit Backward Difference Formulas For Nonlinear Parabolic Equations
Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes
Unconditional Bound-Preserving and Energy-Dissipating Finite-Volume Schemes for the Cahn-Hilliard Equation
Fractional potential: a new perspective on the fractional Laplacian problem on bounded domains

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Efficient high-order backward difference formulae for Cahn-Hilliard equation with the gradient flow in \(H^{-\alpha}\)