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

(2021) Lili Ju et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

(2020) Hong-lin Liao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Positive and Energy Stable Numerical Scheme for the Poisson–Nernst–Planck–Cahn–Hilliard Equations with Steric Interactions

(2020) Yiran Qian et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A stabilized extremum-preserving scheme for nonlinear parabolic equation on polygonal meshes

(2019) Gang Peng et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method

(2019) Xufeng Xiao et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Numerical approximations for a new L2-gradient flow based Phase field crystal model with precise nonlocal mass conservation

(2019) Jun Zhang et al.   COMPUTER PHYSICS COMMUNICATIONS

Efficient, Non-iterative, and second-order accurate numerical algorithms for the anisotropic Allen-Cahn Equation with precise nonlocal mass conservation

(2019) Jun Zhang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation†

(2019) Xiao Li   Communications in Computational Physics

A positivity preserving characteristic finite element method for solving the transport and convection–diffusion–reaction equations on general surfaces

(2019) Xufeng Xiao et al.   COMPUTER PHYSICS COMMUNICATIONS

A positivity-preserving nonlinear finite volume scheme for radionuclide transport calculations in geological radioactive waste repository

(2019) Gang Peng et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

A fast compact time integrator method for a family of general order semilinear evolution equations

(2019) Jianguo Huang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Unconditionally energy stable large time stepping method for the L2-gradient flow based ternary phase-field model with precise nonlocal volume conservation

(2019) Jun Zhang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Unconditionally maximum principle preserving finite element schemes for the surface Allen–Cahn type equations

(2019) Xufeng Xiao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection

(2017) Lili Ju et al.   MATHEMATICS OF COMPUTATION

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

(2016) Shuying Zhai et al.   APPLIED MATHEMATICAL MODELLING

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

(2016) Jie Shen et al.   Communications in Mathematical Sciences

High-order and mass conservative methods for the conservative Allen–Cahn equation

(2016) Hyun Geun Lee   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Comparison study of the conservative Allen–Cahn and the Cahn–Hilliard equations

(2016) Dongsun Lee et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Fast and accurate algorithms for simulating coarsening dynamics of Cahn–Hilliard equations

(2015) Lili Ju et al.   COMPUTATIONAL MATERIALS SCIENCE

Investigations on several numerical methods for the non-local Allen–Cahn equation

(2015) Shuying Zhai et al.   INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

A conservative Allen–Cahn equation with a space–time dependent Lagrange multiplier

(2014) Junseok Kim et al.   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations

(2014) Lili Ju et al.   JOURNAL OF SCIENTIFIC COMPUTING

Mass conserving Allen–Cahn equation and volume preserving mean curvature flow

(2011) Xinfu Chen et al.   INTERFACES AND FREE BOUNDARIES

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

(2010) Jie Shen et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS