A Unified Design of Energy Stable Schemes with Variable Steps for Fractional Gradient Flows and Nonlinear Integro-differential Equations (Q6189164)

scientific article; zbMATH DE number 7801541

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English	A Unified Design of Energy Stable Schemes with Variable Steps for Fractional Gradient Flows and Nonlinear Integro-differential Equations	scientific article; zbMATH DE number 7801541

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instance of

scholarly article

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title

A Unified Design of Energy Stable Schemes with Variable Steps for Fractional Gradient Flows and Nonlinear Integro-differential Equations (English)

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SIAM Journal on Scientific Computing

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publication date

8 February 2024

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zbMATH Keywords

time fractional gradient flow

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nonlinear integro-differential equation

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nonuniform time steps

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discrete gradient structure

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scalar auxiliary variable

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energy stability

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MaRDI profile type

MaRDI publication profile

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cites work

On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation

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Adaptive discretization of an integro-differential equation with a weakly singular convolution kernel.

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Damage and fatigue described by a fractional derivative model

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

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Equivalence between a time-fractional and an integer-order gradient flow: the memory effect reflected in the energy

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Wave propagation in media with singular memory

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

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

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

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

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Analytical methods for solving the time-fractional Swift-Hohenberg (S-H) equation

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Positivity of Discrete Time-Fractional Operators with Applications to Phase-Field Equations

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Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models

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A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

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An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation

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The Variable-Step L1 Scheme Preserving a Compatible Energy Law for Time-Fractional Allen-Cahn Equation

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Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation

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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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On efficient semi-implicit auxiliary variable methods for the six-order Swift-Hohenberg model

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The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing

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Fully discrete spectral methods for solving time fractional nonlinear sine-Gordon equation with smooth and non-smooth solutions

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FRACTIONAL DIFFUSIVE WAVES

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Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations

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Well-posedness of hp-version discontinuous Galerkin methods for fractional diffusion wave equations

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A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations

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Energy stable L2 schemes for time-fractional phase-field equations

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Stability and convergence analysis of adaptive BDF2 scheme for the Swift-Hohenberg equation

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First and second order numerical methods based on a new convex splitting for phase-field crystal equation

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Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows

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The scalar auxiliary variable (SAV) approach for gradient flows

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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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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On the solutions of fractional Swift Hohenberg equation with dispersion

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Two-grid economical algorithms for parabolic integro-differential equations with nonlinear memory

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Second-order error analysis for fractal mobile/immobile Allen-Cahn equation on graded meshes

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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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The exponential SAV approach for the time-fractional Allen-Cahn and Cahn-Hilliard phase-field models

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A high-efficiency second-order numerical scheme for time-fractional phase field models by using extended SAV method

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A non-uniform time-stepping convex splitting scheme for the time-fractional Cahn-Hilliard equation

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Identifiers

DOI

10.1137/23m1554795

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6189164