Fast High Order and Energy Dissipative Schemes with Variable Time Steps for Time-Fractional Molecular Beam Epitaxial Growth Model (Q6191822)

scientific article; zbMATH DE number 7814793

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English	Fast High Order and Energy Dissipative Schemes with Variable Time Steps for Time-Fractional Molecular Beam Epitaxial Growth Model	scientific article; zbMATH DE number 7814793

Statements

instance of

scholarly article

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title

Fast High Order and Energy Dissipative Schemes with Variable Time Steps for Time-Fractional Molecular Beam Epitaxial Growth Model (English)

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Annals of Applied Mathematics

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publication date

11 March 2024

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zbMATH Keywords

time-fractional molecular beam epitaxial growth

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variable time-stepping scheme

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SAV approach

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energy stability

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MaRDI profile type

MaRDI publication profile

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cites work

Analysis and Approximation of a Fractional Cahn--Hilliard Equation

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Well-posedness of the Cahn-Hilliard equation with fractional free energy and its Fourier Galerkin approximation

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Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations

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A new difference scheme for the time fractional diffusion equation

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Approximation by exponential sums revisited

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Island dynamics and the level set method for epitaxial growth

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An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection

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A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection

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Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation

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Time-fractional Allen-Cahn equations: analysis and numerical methods

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A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection

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A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

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An implicit-explicit second-order BDF numerical scheme with variable steps for gradient flows

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Highly Efficient and Energy Dissipative Schemes for the Time Fractional Allen--Cahn Equation

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Robust and stable schemes for time fractional molecular beam epitaxial growth model using SAV approach

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A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach

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Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach

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Stability and Error Analysis of a Class of High-Order IMEX Schemes for Navier--Stokes Equations with Periodic Boundary Conditions

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Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models

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Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations

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Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection

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Energy stability of BDF methods up to fifth-order for the molecular beam epitaxial model without slope selection

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Stability of Variable-Step BDF2 and BDF3 Methods

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A space-time fractional phase-field model with tunable sharpness and decay behavior and its efficient numerical simulation

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Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model

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Discrete Energy Analysis of the Third-Order Variable-Step BDF Time-Stepping for Diffusion Equations

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Finite difference/spectral approximations for the time-fractional diffusion equation

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Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation

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Error Analysis of a High Order Method for Time-Fractional Diffusion Equations

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Multiplier techniques for linear multistep methods

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Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection

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An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models

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Global-in-time \(H^1\)-stability of \(\mathrm{L}2\)-\(1_\sigma\) method on general nonuniform meshes for subdiffusion equation

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Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy

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A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations

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Asymptotic Analysis on the Sharp Interface Limit of the Time-Fractional Cahn--Hilliard Equation

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On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations

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Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models

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Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme

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Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method

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Compatible \(L^2\) norm convergence of variable-step L1 scheme for the time-fractional MBE model with slope selection

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On power law scaling dynamics for time-fractional phase field models during coarsening

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Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations

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A Fast High Order Method for the Time-Fractional Diffusion Equation

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Identifiers

DOI

10.4208/aam.oa-2023-0007

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6191822