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

    Hailiang Liu, Wumaier Maimaitiyiming
    2020-05-06
    DOI:10.4208/cicp.OA-2019-0063
    49802 3713 pp. 1505-1529
  • Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations

    Xiaobing Feng, Hailiang Liu, Shu Ma
    2019-08-27
    DOI:10.4208/cicp.2019.js60.05
    49158 3574 pp. 1365-1396
  • An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

    Nianyu Yi, Hailiang Liu
    2018-08-21
    DOI:10.4208/cicp.OA-2016-0189
    46617 3282 pp. 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
    DOI:10.4208/cicp.OA-2016-0226
    46428 5094 pp. 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
    DOI:10.4208/cicp.130115.110915a
    40725 3136 pp. 1015-1041
  • An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

    Peimeng Yin, Yunqing Huang, Hailiang Liu
    2014-08-03
    DOI:10.4208/cicp.270713.280214a
    42396 4167 pp. 491-515
  • The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections

    Hailiang Liu, Jue Yan
    2010-08-01
    DOI:10.4208/cicp.010909.011209a
    45067 4562 pp. 541-564
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