Up to eighth-order maximum-principle-preserving methods for the Allen-Cahn equation (Q2679814)

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English	Up to eighth-order maximum-principle-preserving methods for the Allen-Cahn equation	scientific article

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title

Up to eighth-order maximum-principle-preserving methods for the Allen-Cahn equation (English)

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26 January 2023

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zbMATH Keywords

Allen-Cahn equation

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maximum principle

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integrating factor two-step Runge-Kutta method

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stabilization

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11075-022-01329-4

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cites work

Geometrical image segmentation by the Allen-Cahn equation

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Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows

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A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities

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Numerical Analysis of a Continuum Model of Phase Transition

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The Global Dynamics of Discrete Semilinear Parabolic Equations

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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

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The scalar auxiliary variable (SAV) approach for gradient flows

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Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity

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Phase transitions and generalized motion by mean curvature

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

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

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

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

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

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A new second-order maximum-principle preserving finite difference scheme for Allen-Cahn equations with periodic boundary conditions

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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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Total variation diminishing Runge-Kutta schemes

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Strong Stability-Preserving High-Order Time Discretization Methods

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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Strong Stability Preserving Integrating Factor Runge--Kutta Methods

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Construction of two-step Runge--Kutta methods with large regions of absolute stability

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Two-Step Runge–Kutta Methods

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A General Class of Two-Step Runge–Kutta Methods for Ordinary Differential Equations

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Variable stepsize continuous two-step Runge-Kutta methods for ordinary differential equations

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An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation

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An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation

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

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

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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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A fast and efficient numerical algorithm for fractional Allen-Cahn with precise nonlocal mass conservation

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

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

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

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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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A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation

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

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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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The explicit-implicit-null method: removing the numerical instability of PDEs

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

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Analysis of fully discrete approximations for dissipative systems and application to time-dependent nonlocal diffusion problems

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Strong Stability Preserving Two-step Runge–Kutta Methods

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Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations

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

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Identifiers

Mathematics Subject Classification ID

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10.1007/S11075-022-01329-4

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Mathematics(1 entry)

mardi Publication:2679814