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09/07/2023
Second-order, Positive, and Unconditional Energy Dissipative Scheme for Modified Poisson-Nernst-Planck Equations
First-order energy dissipative schemes in time are available in literatu...
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12/05/2022
Asymptotic Derivation of Equivalent Circuit Model for the Stack-Electrode Supercapacitors
Supercapacitors are promising electrochemical energy storage devices due...
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08/12/2022
A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation
A second order accurate (in time) numerical scheme is proposed and analy...
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04/25/2022
Structure-preserving numerical method for Ampere-Nernst-Planck model
Charge dynamics play essential role in many practical applications such ...
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02/22/2022
Convergence Analysis of Structure-Preserving Numerical Methods Based on Slotboom Transformation for the Poisson–Nernst–Planck Equations
The analysis of structure-preserving numerical methods for the Poisson–N...
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11/01/2021
Fast Newton Iterative Method for Local Steric Poisson–Boltzmann Theories in Biomolecular Solvation
This work proposes a fast iterative method for local steric Poisson–Bolt...
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09/17/2020
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
In this paper we propose and analyze a finite difference numerical schem...
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09/17/2020
Hysteresis and Linear Stability Analysis on Multiple Steady-State Solutions to the Poisson–Nernst–Planck equations with Steric Interactions
In this work, we numerically study linear stability of multiple steady-s...
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08/16/2020
Structure-Preserving Numerical Methods for Nonlinear Fokker–Planck Equations with Nonlocal Interactions by an Energetic Variational Approach
In this work, we develop novel structure-preserving numerical schemes fo...
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02/22/2020
A Positive and Energy Stable Numerical Scheme for the Poisson-Nernst-Planck-Cahn-Hilliard Equations with Steric Interactions
We consider numerical methods for the Poisson-Nernst-Planck-Cahn-Hilliar...
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02/19/2020