Search Results

• Unconditional Positivity-Preserving and Energy Stable Schemes for a Reduced Poisson-Nernst-Planck System

  Hailiang Liu, Wumaier Maimaitiyiming

  2020-05-06

  49794 3702 Pages:1505-1529

• Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations

  Xiaobing Feng, Hailiang Liu, Shu Ma

  2019-08-27

  49152 3569 Pages:1365-1396

• An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

  Nianyu Yi, Hailiang Liu

  2018-08-21

  46615 3277 Pages:747-772

• Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation

  Peimeng Yin, Yunqing Huang, Hailiang Liu

  2018-07-03

  46422 5083 Pages:168-197

• On Invariant-Preserving Finite Difference Schemes for the Camassa-Holm Equation and the Two-Component Camassa-Holm System

  Hailiang Liu, Terrance Pendleton

  2018-04-04

  40722 3134 Pages:1015-1041

• An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

  Peimeng Yin, Yunqing Huang, Hailiang Liu

  2014-08-03

  42391 4162 Pages:491-515

• The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections

  Hailiang Liu, Jue Yan

  2010-08-01

  45059 4555 Pages:541-564