Bound/positivity preserving and unconditionally stable schemes for a class of fourth order nonlinear equations

A new class of implicit–explicit BDFk SAV schemes for general dissipative systems and their error analysis

(2022) Fukeng Huang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters

(2021) Lixiu Dong et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

(2020) Lixiu Dong   Communications in 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 Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation

(2019) Wenbin Chen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations

(2017) Jian-Guo Liu et al.   MATHEMATICS OF COMPUTATION

Maximum-Principle-Satisfying Third Order Discontinuous Galerkin Schemes for Fokker--Planck Equations

(2014) Hailiang Liu et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and Lubrication-type equations

(2013) Changna Lu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

(2012) Zhengru Zhang et al.   Communications in Computational Physics

Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle

(2011) Jérôme Droniou et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A biharmonic-modified forward time stepping method for fourth order nonlinear diffusion equations

(2010) Hsiang-Wei Lu et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

(2010) Xiangxiong Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Isogeometric analysis of the Cahn–Hilliard phase-field model

(2008) Héctor Gómez et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING