A linear second order unconditionally maximum bound principle-preserving scheme for the Allen-Cahn equation with general mobility (Q6646511)

scientific article; zbMATH DE number 7952186

Language	Label	Description	Also known as
English	A linear second order unconditionally maximum bound principle-preserving scheme for the Allen-Cahn equation with general mobility	scientific article; zbMATH DE number 7952186

Statements

instance of

scholarly article

0 references

title

A linear second order unconditionally maximum bound principle-preserving scheme for the Allen-Cahn equation with general mobility (English)

0 references

0 references

0 references

0 references

Applied Numerical Mathematics

0 references

publication date

2 December 2024

0 references

zbMATH Keywords

Allen-Cahn equation

0 references

general mobility

0 references

maximum bound principle

0 references

nonuniform time steps

0 references

MaRDI profile type

Publication

0 references

cites work

Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations

0 references

Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation

0 references

Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation

0 references

A second order backward difference method with variable steps for a parabolic problem

0 references

A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection

0 references

A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation

0 references

A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability

0 references

A new Lagrange multiplier approach for constructing structure preserving schemes. I: Positivity preserving

0 references

A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving

0 references

Computational studies of coarsening rates for the Cahn-Hilliard equation with phase-dependent diffusion mobility

0 references

Weak solutions for the Cahn-Hilliard equation with degenerate mobility

0 references

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

0 references

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

0 references

Energy-decreasing exponential time differencing Runge-Kutta methods for phase-field models

0 references

Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models

0 references

A linear doubly stabilized Crank-Nicolson scheme for the Allen-Cahn equation with a general mobility

0 references

A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility

0 references

A linear adaptive second‐order backward differentiation formulation scheme for the phase field crystal equation

0 references

An implicit-explicit second-order BDF numerical scheme with variable steps for gradient flows

0 references

A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach

0 references

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

0 references

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

0 references

Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

0 references

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

0 references

Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations

0 references

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

0 references

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

0 references

Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint

0 references

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

0 references

Energy stability and convergence of SAV block-centered finite difference method for gradient flows

0 references

Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model

0 references

A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

0 references

On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation

0 references

Analysis of adaptive BDF2 scheme for diffusion equations

0 references

Error Analysis of a High Order Method for Time-Fractional Diffusion Equations

0 references

An Energy Stable and Maximum Bound Principle Preserving Scheme for the Dynamic Ginzburg–Landau Equations under the Temporal Gauge

0 references

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

0 references

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

0 references

Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy

0 references

The scalar auxiliary variable (SAV) approach for gradient flows

0 references

A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

0 references

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

0 references

Linking anisotropic sharp and diffuse surface motion laws via gradient flows

0 references

On Convergence of Block-Centered Finite Differences for Elliptic Problems

0 references

Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations

0 references

An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation

0 references

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

0 references

Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation

0 references

A Fast High Order Method for the Time-Fractional Diffusion Equation

0 references

Identifiers

DOI

10.1016/j.apnum.2024.09.005

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6646511