IMEX time discretizations for the PNP system remain asymptotically stable for all Debye lengths and require no special assumptions on initial conditions, unlike standard schemes.
The approximate arithmetical solution by finite differences of physical problems involving differential equations, with an application to the stresses in a masonry dam
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Standard versus Asymptotic Preserving Time Discretizations for the Poisson-Nernst-Planck System in the Quasi-Neutral Limit
IMEX time discretizations for the PNP system remain asymptotically stable for all Debye lengths and require no special assumptions on initial conditions, unlike standard schemes.