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

Generalized SAV approaches for gradient systems

(2021) Qing Cheng et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

On the monotonicity and discrete maximum principle of the finite difference implementation of C0-Q2 finite element method

(2020) Hao Li et al.   NUMERISCHE MATHEMATIK

A Positivity Preserving and Free Energy Dissipative Difference Scheme for the Poisson–Nernst–Planck System

(2019) Dongdong He et al.   JOURNAL OF SCIENTIFIC COMPUTING

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

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

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

Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments

(2011) X. Zhang et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations

(2011) Yuanyuan Liu et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

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