Hailiang Liu
Results

Journal Article
An Adaptive Gradient Method with Energy and Momentum
Annals of Applied Mathematics, Vol. 38 (2022), Iss. 2 : pp. 183–222

Journal Article
Unconditional Positivity-Preserving and Energy Stable Schemes for a Reduced Poisson-Nernst-Planck System
Communications in Computational Physics, Vol. 27 (2020), Iss. 5 : pp. 1505–1529

Journal Article
Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations
Communications in Computational Physics, Vol. 26 (2019), Iss. 5 : pp. 1365–1396

Journal Article
Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation
Communications in Computational Physics, Vol. 23 (2018), Iss. 1 : pp. 168–197

Journal Article
An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation
Communications in Computational Physics, Vol. 23 (2018), Iss. 3 : pp. 747–772

Journal Article
On Invariant-Preserving Finite Difference Schemes for the Camassa-Holm Equation and the Two-Component Camassa-Holm System
Communications in Computational Physics, Vol. 19 (2016), Iss. 4 : pp. 1015–1041

Journal Article
An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation
Communications in Computational Physics, Vol. 16 (2014), Iss. 2 : pp. 491–515

Journal Article
The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections
Communications in Computational Physics, Vol. 8 (2010), Iss. 3 : pp. 541–564