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math.NA2022★ 3 cited
MultiShape: A Spectral Element Method, with Applications to Dynamic Density Functional Theory and PDE-Constrained Optimization
Jonna C. Roden, Rory D. Mills-Williams, John W. Pearson +1
A numerical framework is developed to solve various types of PDEs on complicated domains, including steady and time-dependent, non-linear and non-local PDEs, with different boundar…
math.NA2022
The Mean Field Fokker-Planck Equation with Nonlinear No-flux Boundary Conditions
R. D. Mills-Williams, B. D. Goddard, G. A. Pavliotis
We consider the mean field Fokker-Planck equation subject to nonlinear no-flux boundary conditions, which necessarily arise when subjecting a system of Brownian particles interacti…