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Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations - MaRDI portal

Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations (Q6101775)

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scientific article; zbMATH DE number 7699028

Language	Label	Description	Also known as
English	Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations	scientific article; zbMATH DE number 7699028

Statements

scholarly article

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Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations (English)

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Applied Numerical Mathematics

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publication date

20 June 2023

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zbMATH Keywords

Allen-Cahn-type equation

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parametric integrating factor multi-step scheme

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maximum-principle-preserving

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mass conservation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.apnum.2022.12.020

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Convergence of a mass conserving Allen-Cahn equation whose Lagrange multiplier is nonlocal and local

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DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS

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A modified phase field approximation for mean curvature flow with conservation of the volume

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High-Order Bound-Preserving Discontinuous Galerkin Methods for Stiff Multispecies Detonation

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The phase field method for geometric moving interfaces and their numerical approximations

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Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation

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

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A maximum-principle preserving and unconditionally energy-stable linear second-order finite difference scheme for Allen-Cahn equations

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Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities

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On high order strong stability preserving Runge-Kutta and multi step time discretizations

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Strong Stability-Preserving High-Order Time Discretization Methods

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TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER

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A spatial fourth-order maximum principle preserving operator splitting scheme for the multi-dimensional fractional Allen-Cahn equation

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Numerical analysis of a stabilized Crank-Nicolson/Adams-Bashforth finite difference scheme for Allen-Cahn equations

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

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Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms

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Strong stability preserving integrating factor two-step Runge-Kutta methods

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Fast explicit integration factor methods for semilinear parabolic equations

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

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

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A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier

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Contractivity of Runge-Kutta methods

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Generalized integrating factor methods for stiff PDEs

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Contractivity preserving explicit linear multistep methods

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Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations

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Effective Maximum Principles for Spectral Methods

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Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field 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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A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

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A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method

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Robust exponential attractors for Cahn‐Hilliard type equations with singular potentials

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The high-order maximum-principle-preserving integrating factor Runge-Kutta methods for nonlocal Allen-Cahn equation

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Positivity of exponential Runge-Kutta methods

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Two-Phase Fluid Simulation Using a Diffuse Interface Model with Peng--Robinson Equation of State

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

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Nonlocal reaction—diffusion equations and nucleation

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High-order linear multistep methods with general monotonicity and boundedness properties

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Circle contractive linear multistep methods

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On the maximum principle preserving schemes for the generalized Allen-Cahn equation

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The discrete maximum principle and energy stability of a new second-order difference scheme for Allen-Cahn equations

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Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density''

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On the stability and accuracy of partially and fully implicit schemes for phase field modeling

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

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Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model

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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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Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations

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Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.APNUM.2022.12.020

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Sitelinks

Mathematics(1 entry)

mardi Publication:6101775

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