Search Results

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

  Hailiang Liu, Wumaier Maimaitiyiming

  2020-05-06

  49576 3616 Pages:1505-1529

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

  Xiaobing Feng, Hailiang Liu, Shu Ma

  2019-08-27

  48935 3491 Pages:1365-1396

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

  Nianyu Yi & Hailiang Liu

  2018-08-21

  46420 3214 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

  46224 4912 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

  40584 3077 Pages:1015-1041

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

  Peimeng Yin, Yunqing Huang & Hailiang Liu

  2014-08-03

  42236 4102 Pages:491-515

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

  Hailiang Liu & Jue Yan

  2010-08-01

  44752 4459 Pages:541-564