L
Leslie Greengard
Researcher at New York University
Publications - 217
Citations - 19581
Leslie Greengard is an academic researcher from New York University. The author has contributed to research in topics: Integral equation & Fast multipole method. The author has an hindex of 53, co-authored 205 publications receiving 17857 citations. Previous affiliations of Leslie Greengard include Yale University & National Institute of Standards and Technology.
Papers
More filters
Journal ArticleDOI
Validation of neural spike sorting algorithms without ground-truth information.
TL;DR: A suite of validation metrics that assess the credibility of a given automatic spike sorting algorithm applied to a given dataset by rerunning the spike sorter two or more times are introduced, and should form an essential part of large-scale automated spike sorting and systematic benchmarking of algorithms.
Journal ArticleDOI
On the numerical solution of the heat equation I
Jing-Rebecca Li,Leslie Greengard +1 more
TL;DR: A fast solver for the inhomogeneous heat equation in free space, following the time evolution of the solution in the Fourier domain is described, based on a recently developed spectral approximation of the free-space heat kernel coupled with the non-uniform fast Fourier transform.
Journal ArticleDOI
An integral equation formulation for rigid bodies in Stokes flow in three dimensions
TL;DR: A new derivation of a boundary integral equation (BIE) for simulating the three-dimensional dynamics of arbitrarily-shaped rigid particles of genus zero immersed in a Stokes fluid is presented, based on a single-layer representation and leads to a simple second-kind integral equation.
Journal ArticleDOI
Fast, accurate integral equation methods for the analysis of photonic crystal fibers I: Theory
TL;DR: This work presents a new integral equation method for calculating the electromagnetic modes of photonic crystal fiber waveguides that can easily handle PCFs with arbitrary hole geometries and irregular hole distributions, enabling optical component manufacturers to optimize hole designs as well as assess the effect of manufacturing defects.
Journal ArticleDOI
Boundary integral equation analysis on the sphere
TL;DR: The selection of certain parameters in “combined field” and “Calderon-preconditioned” formulations is shown to have a significant impact on condition number, extending earlier work by Kress and others.