204 citations · 422 across the 26 of their papers we have counts for
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math.NA2026
Linear-cost Polyharmonic Spline Interpolation of Arbitrary Degree
Christopher J. Geoga, Michael O'Neil
We introduce a simple and performant approach for rapidly and accurately performing polyharmonic spline (PHS) interpolation using a combination of the fast multipole method (FMM) f…
math.NA2026
A Butterfly-Accelerated Manifold Harmonic Transform
Paul G. Beckman, Samuel F. Potter, Michael O'Neil
The eigenfunctions of the Laplacian are a natural basis of functions for many tasks in computational mathematics. On the circle and sphere, the eigenfunctions are given by complex…