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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.NA2018
A Treecode Algorithm for 3D Stokeslets and Stresslets
Lei Wang, Svetlana Tlupova, Robert Krasny
The Stokeslet and stresslet kernels are commonly used in boundary element simulations and singularity methods for slow viscous flow. Evaluating the velocity induced by a collection…