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math.NA2024
Boundary Integral Methods for Particle Diffusion in Complex Geometries: Shielding, Confinement, and Escape
Jesse Cherry, Alan E. Lindsay, Bryan D. Quaife
We present a numerical method for the solution of diffusion problems in unbounded planar regions with complex geometries of absorbing and reflecting bodies. Our numerical method ap…
math.NA2021
Trapping of Planar Brownian Motion: Full First Passage Time Distributions by Kinetic Monte-Carlo, Asymptotic and Boundary Integral Methods
Jake Cherry, Alan E. Lindsay, Adrian Navarro Hernandez +1
We consider the problem of determining the arrival statistics of unbiased planar random walkers to complex target configurations. In contrast to problems posed in finite domains, s…