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

Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx)

Cites Work

Unnamed Item
Unnamed Item
On the maximum principle preserving schemes for the generalized Allen-Cahn equation
Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications
The peridynamic formulation for transient heat conduction
Efficient implementation of essentially nonoscillatory shock-capturing schemes
Contractivity of Runge-Kutta methods
Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms
Geometrical image segmentation by the Allen-Cahn equation
Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations
Fast algorithm for nonlocal Allen-Cahn equation with scalar auxiliary variable approach
A maximum bound principle preserving iteration technique for a class of semilinear parabolic equations
Arbitrarily high-order linear energy stable schemes for gradient flow models
Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations
The high-order maximum-principle-preserving integrating factor Runge-Kutta methods for nonlocal Allen-Cahn equation
An effective operator splitting scheme for two-dimensional conservative nonlocal Allen-Cahn equation
Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations
Energy stable L2 schemes for time-fractional phase-field equations
Stability and convergence of Strang splitting. I: Scalar Allen-Cahn equation
Energy plus maximum bound preserving Runge-Kutta methods for the Allen-Cahn equation
Time-fractional Allen-Cahn equations: analysis and numerical methods
Stability and error estimate of the operator splitting method for the phase field crystal equation
Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations
Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation
Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model
Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations
Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models
Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations
Nonlocal Operators with Applications to Image Processing
Runge–Kutta Methods for Ordinary Differential Equations
Phase transitions and generalized motion by mean curvature
Strong Stability Preserving Integrating Factor Runge--Kutta Methods
Nonlocal Modeling, Analysis, and Computation
Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
A diffuse-interface method for simulating two-phase flows of complex fluids
DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle
Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations
Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal Models
Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle
Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws
Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations
Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
Asymptotically Compatible Fourier Spectral Approximations of Nonlocal Allen--Cahn Equations
Asymptotically compatible discretization of multidimensional nonlocal diffusion models and approximation of nonlocal Green’s functions
Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions
A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation

This page was built for publication: High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation