14 citations · 85 across the 27 of their papers we have counts for
3 papers · 1 filter
Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT
Shidong Jiang, Leslie Greengard, Weizhu Bao
We present a fast and accurate algorithm for the evaluation of nonlocal (long-range) Coulomb and dipole-dipole interactions in free space. The governing potential is simply the con…
Efficient sum-of-exponentials approximations for the heat kernel and their applications
Shidong Jiang, Leslie Greengard, Shaobo Wang
In this paper, we show that efficient separated sum-of-exponentials approximations can be constructed for the heat kernel in any dimension. In one space dimension, the heat kernel…
The solution of the scalar wave equation in the exterior of a sphere
Leslie Greengard, Thomas Hagstrom, Shidong Jiang
We derive new, explicit representations for the solution to the scalar wave equation in the exterior of a sphere, subject to either Dirichlet or Robin boundary conditions. Our form…