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

Refined long-time asymptotics for some polymeric fluid flow models

(2013) A. Arnold et al.   Communications in Mathematical Sciences

Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection–diffusion equations on triangular meshes

(2012) Yifan Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The Cauchy--Dirichlet Problem for the Finitely Extensible Nonlinear Elastic Dumbbell Model of Polymeric Fluids

(2012) Hailiang Liu et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

An Entropy Satisfying Conservative Method for the Fokker–Planck Equation of the Finitely Extensible Nonlinear Elastic Dumbbell Model

(2012) Hailiang Liu et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

On the Approximation of the Fokker–Planck Equation of the Finitely Extensible Nonlinear Elastic Dumbbell Model I: A New Weighted Formulation and an Optimal Spectral-Galerkin Algorithm in Two Dimensions

(2012) Jie Shen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations

(2012) Xiangxiong Zhang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations

(2012) Marianne Bessemoulin-Chatard et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

On maximum-principle-satisfying high order schemes for scalar conservation laws

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

The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems

(2009) Hailiang Liu et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Spectral Galerkin approximation of Fokker-Planck equations with unbounded drift

(2008) David J. Knezevic et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Boundary Conditions for the Microscopic FENE Models

(2008) Chun Liu et al.   SIAM JOURNAL ON APPLIED MATHEMATICS