Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations
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Publication:2053341
DOI10.1007/s10915-021-01691-wOpenAlexW3215270118MaRDI QIDQ2053341
Xu Qian, Songhe Song, Xiaowei Chen, Hong Zhang, JingYe Yan
Publication date: 29 November 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01691-w
conservative Allen-Cahn equationsimproved stabilized integrating factor Runge-Kutta schememass-conservingunconditionally maximum-principle-preserving
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)
Related Items (12)
Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation ⋮ Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations ⋮ Maximum principle preserving and unconditionally stable scheme for a conservative Allen-Cahn equation ⋮ A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation ⋮ High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation ⋮ Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations ⋮ High-order, unconditionally maximum-principle preserving finite element method for the Allen-Cahn equation ⋮ Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation ⋮ Stability and error estimates of Strang splitting method for the nonlocal ternary conservative Allen-Cahn model ⋮ Stability and error estimates of high order BDF-LDG discretizations for the Allen-Cahn equation ⋮ Large time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn-Hilliard-Oono equation ⋮ High-order, large time-stepping integrators for scalar hyperbolic conservation laws
Cites Work
- On the maximum principle preserving schemes for the generalized Allen-Cahn equation
- Convergence of a mass conserving Allen-Cahn equation whose Lagrange multiplier is nonlocal and local
- Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
- Unconditionally strong stability preserving extensions of the TR-BDF2 method
- Mass conserving Allen-Cahn equation and volume preserving mean curvature flow
- Unconditionally stable methods for gradient flow using convex splitting Runge-Kutta scheme
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
- Spontaneous shrinkage of drops and mass conservation in phase-field simulations
- Contractivity of Runge-Kutta methods
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- Semi-implicit level set methods for curvature and surface diffusion motion
- A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier
- A stable and structure-preserving scheme for a non-local Allen-Cahn equation
- Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms
- Conservative Allen-Cahn-Navier-Stokes system for incompressible two-phase fluid flows
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- The scalar auxiliary variable (SAV) approach for gradient flows
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- On the stability and accuracy of partially and fully implicit schemes for phase field modeling
- Highly efficient and accurate numerical schemes for the epitaxial thin film growth models by using the SAV approach
- The discrete maximum principle and energy stability of a new second-order difference scheme for Allen-Cahn equations
- Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint
- Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations
- A new second-order maximum-principle preserving finite difference scheme for Allen-Cahn equations with periodic boundary conditions
- Numerical analysis of a stabilized Crank-Nicolson/Adams-Bashforth finite difference scheme for Allen-Cahn equations
- A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
- A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity
- Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation
- A maximum-principle preserving and unconditionally energy-stable linear second-order finite difference scheme for Allen-Cahn equations
- On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation
- Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model
- A spatial fourth-order maximum principle preserving operator splitting scheme for the multi-dimensional fractional Allen-Cahn equation
- Efficient, non-iterative, and second-order accurate numerical algorithms for the anisotropic Allen-Cahn equation with precise nonlocal mass conservation
- Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations
- An unconditionally stable hybrid method for image segmentation
- A dimensional splitting exponential time differencing scheme for multidimensional fractional Allen-Cahn equations
- Numerical approximations for a new \(L^2\)-gradient flow based phase field crystal model with precise nonlocal mass conservation
- Arbitrarily high-order unconditionally energy stable SAV schemes for gradient flow models
- Strong Stability-Preserving High-Order Time Discretization Methods
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- A modified phase field approximation for mean curvature flow with conservation of the volume
- An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
- Nonlocal reaction—diffusion equations and nucleation
- Volume-Preserving Mean Curvature Flow as a Limit of a Nonlocal Ginzburg-Landau Equation
- Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- 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
- Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle
- Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
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