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math.NA2025
A Cubed Sphere Fast Multipole Method
Anthony Chen, Robert Krasny
This work describes a new version of the Fast Multipole Method for summing pairwise particle interactions that arise from discretizing integral transforms and convolutions on the s…
math.NA2024
Fast Summation on the Sphere with Applications to the Barotropic Vorticity Equation
Anthony Chen, Christiane Jablonowski
Fast summation refers to a family of techniques for approximating sums in or time. These techniques have traditionally found wide use in astrophysics…