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High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation - MaRDI portal

High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation (Q6086844)

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scientific article; zbMATH DE number 7763842

Language	Label	Description	Also known as
English	High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation	scientific article; zbMATH DE number 7763842

Statements

scholarly article

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High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation (English)

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Applied Numerical Mathematics

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publication date

10 November 2023

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zbMATH Keywords

parametric integrating factor Runge-Kutta method

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nonlocal Allen-Cahn equation

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maximum-principle-preservation

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MaRDI profile type

MaRDI publication profile

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DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS

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Geometrical image segmentation by the Allen-Cahn equation

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The peridynamic formulation for transient heat conduction

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Runge–Kutta Methods for Ordinary Differential Equations

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An effective operator splitting scheme for two-dimensional conservative nonlocal Allen-Cahn equation

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Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations

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Nonlocal Modeling, Analysis, and Computation

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Asymptotically Compatible Fourier Spectral Approximations of Nonlocal Allen--Cahn Equations

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Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications

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Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

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

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Asymptotically compatible discretization of multidimensional nonlocal diffusion models and approximation of nonlocal Green’s functions

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

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

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Phase transitions and generalized motion by mean curvature

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Energy plus maximum bound preserving Runge-Kutta methods for the Allen-Cahn equation

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Nonlocal Operators with Applications to Image Processing

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Arbitrarily high-order linear energy stable schemes for gradient flow models

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A maximum bound principle preserving iteration technique for a class of semilinear parabolic equations

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Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard 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 Runge--Kutta Methods

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

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Contractivity of Runge-Kutta methods

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Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants

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

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Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations

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Stability and convergence of Strang splitting. I: Scalar Allen-Cahn equation

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

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

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

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

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

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation

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

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Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations

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Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models

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Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal Models

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Fast algorithm for nonlocal Allen-Cahn equation with scalar auxiliary variable approach

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A diffuse-interface method for simulating two-phase flows of complex fluids

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

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Stability and error estimate of the operator splitting method for the phase field crystal equation

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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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Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions

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Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.APNUM.2023.08.010

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Sitelinks

Mathematics(1 entry)

mardi Publication:6086844

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