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math.NA2025
High-order integral methods for the Neumann Green's function: applications to capture and signaling problems in two dimensions
Sanchita Chakraborty, Jeremy Hoskins, Alan E. Lindsay
We present a high order numerical method for the solution of the Neumann Green's function in two dimensions. For a general closed planar curve, our computational method resolves bo…
math.NA2025
The lightning method for the heat equation
Hunter La Croix, Alan E. Lindsay
This paper introduces a new method for solving the planar heat equation based on the Lightning Method. The lightning method is a recent development in the numerical solution of lin…