Unconditional positivity-preserving and energy stable schemes for a reduced Poisson-Nernst-Planck system. - Hailiang Liu; Wumaier Maimaitiyiming (CoRR, 2019)

Positive and free energy satisfying schemes for diffusion with interaction potentials. - Hailiang Liu; Wumaier Maimaitiyiming (J. Comput. Phys., 2020)

Efficient, Positive, and Energy Stable Schemes for Multi-D Poisson-Nernst-Planck Systems. - Hailiang Liu; Wumaier Maimaitiyiming (J. Sci. Comput., 2021)

A dynamic mass transport method for Poisson-Nernst-Planck equations. - Hailiang Liu; Wumaier Maimaitiyiming (J. Comput. Phys., 2023)