2 papers
math.NA2019
A Study of the Numerical Stability of an ImEx Scheme with Application to the Poisson-Nernst-Planck Equations
M. C. Pugh, D. Yan, F. P. Dawson
The Poisson-Nernst-Planck equations with generalized Frumkin-Butler-Volmer boundary conditions (PNP-FBV) describe ion transport with Faradaic reactions and have applications in a w…
physics.comp-ph2018
Stabilization of the Lattice Boltzmann Method Using Information Theory
Tyler L Wilson, Mary Pugh, Francis Dawson
A novel Lattice Boltzmann method is derived using the Principle of Minimum Cross Entropy (MinxEnt) via the minimization of Kullback-Leibler Divergence (KLD). By carrying out the ac…