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math.NA2026
The three-dimensional Neumann Green's function for general surfaces: singular asymptotics and boundary integral methods
Alan E. Lindsay, Andrew J. Bernoff, Tristan Goodwill +1
We present an asymptotic analysis and high-order boundary integral method for the three-dimensional Neumann Green's function in general closed and smooth geometries. The Neumann Gr…
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.NA2024
Kinetic Monte Carlo methods for three-dimensional diffusive capture problems in exterior domains
Alan E. Lindsay, Andrew J. Bernoff
Cellular scale decision making is modulated by the dynamics of signalling molecules and their diffusive trajectories from a source to small absorbing sites on the cellular surface.…