Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows (Q5096447)

scientific article; zbMATH DE number 7572361

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English	Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows	scientific article; zbMATH DE number 7572361

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instance of

scholarly article

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title

Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows (English)

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SIAM Journal on Numerical Analysis

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publication date

17 August 2022

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full work available at URL

https://arxiv.org/abs/2203.04532

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zbMATH Keywords

second-order linear scheme

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energy dissipation law

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maximum bound principle

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exponential integrator

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scalar auxiliary variable

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MaRDI profile type

MaRDI publication profile

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cites work

Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations

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Q5474664

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Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy

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A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability

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A new Lagrange multiplier approach for gradient flows

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Generalized SAV approaches for gradient systems

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Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

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The Cahn-Hilliard equation with logarithmic potentials

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Exponential time differencing for stiff systems

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Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation

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A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy

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Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes

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Numerical Analysis of a Continuum Model of Phase Transition

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

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Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models

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A stable and conservative finite difference scheme for the Cahn-Hilliard equation

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Energy-stable Runge-Kutta schemes for gradient flow models using the energy quadratization approach

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Strong Stability-Preserving High-Order Time Discretization Methods

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A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation

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Traveling wave solutions of Allen-Cahn equation with a fractional Laplacian

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Functions of Matrices

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Exponential integrators

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A variant of scalar auxiliary variable approaches for gradient flows

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Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations

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A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows

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A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation

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Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations

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Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic 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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Fast explicit integration factor methods for semilinear parabolic equations

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Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint

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Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle

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On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation

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

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Geometric integration using discrete gradients

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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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On the maximum principle preserving schemes for the generalized Allen-Cahn 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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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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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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Discrete maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation

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Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle

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An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation

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

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Efficient and linear schemes for anisotropic Cahn-Hilliard model using the stabilized-invariant energy quadratization (S-IEQ) approach

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Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations

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Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential

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Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation

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Fast high-order compact exponential time differencing Runge-Kutta methods for second-order semilinear parabolic equations

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Identifiers

DOI

10.1137/21M1446496

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5096447