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

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

(2022) Qing Cheng 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 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 bound-preserving high order scheme for variable density incompressible Navier-Stokes equations

(2020) Maojun Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials

(2018) Zheng Sun et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes

(2018) Huifang Zhou et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

Stability and Convergence Analysis of Fully Discrete Fourier Collocation Spectral Method for 3-D Viscous Burgers’ Equation

(2012) Sigal Gottlieb et al.   JOURNAL OF SCIENTIFIC COMPUTING

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

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

1D nonlinear Fokker–Planck equations for fermions and bosons

(2007) J.A. Carrillo et al.   APPLIED MATHEMATICS LETTERS