27 citations · 31 across the 7 of their papers we have counts for
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physics.comp-ph2020★ 3 cited
Hysteresis and Linear Stability Analysis on Multiple Steady-State Solutions to the Poisson--Nernst--Planck equations with Steric Interactions
Jie Ding, Hui Sun, Shenggao Zhou
In this work, we numerically study linear stability of multiple steady-state solutions to a type of steric Poisson--Nernst--Planck (PNP) equations with Dirichlet boundary condition…
math.NA2020★ 27 cited
Structure-Preserving and Efficient Numerical Methods for Ion Transport
Jie Ding, Zhongming Wang, Shenggao Zhou
Ion transport, often described by the Poisson--Nernst--Planck (PNP) equations, is ubiquitous in electrochemical devices and many biological processes of significance. In this work,…