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
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Journal ArticleDOI
Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation
TL;DR: The main technical result in this paper is that the logarithmic derivative of the Hankel function H_
u(1)(z) can be approximated in the upper half of the z-plane with relative error $\varepsilon$ by a rational function of degree d.
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High-Density, Long-Lasting, and Multi-region Electrophysiological Recordings Using Polymer Electrode Arrays.
Jason E. Chung,Hannah R. Joo,Jiang Lan Fan,Daniel F. Liu,Alex H. Barnett,Supin Chen,Charlotte Geaghan-Breiner,Mattias P. Karlsson,Magnus Karlsson,Kye Y Lee,Hexin Liang,Jeremy F. Magland,Jeanine A. Pebbles,Angela C. Tooker,Leslie Greengard,Vanessa Tolosa,Loren M. Frank,Loren M. Frank +17 more
TL;DR: A large-scale, multi-site, extracellular recording platform that integrates polymer electrodes with a modular stacking headstage design supporting up to 1,024 recording channels in freely behaving rats is introduced that enables large- scale electrophysiological interrogation of the fast dynamics and long-timescale evolution of anatomically distributed circuits.
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Quadrature by expansion
TL;DR: This paper presents a systematic, high-order approach that works for any singularity (including hypersingular kernels), based only on the assumption that the field induced by the integral operator is locally smooth when restricted to either the interior or the exterior.
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A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization
Kenneth L. Ho,Leslie Greengard +1 more
TL;DR: Using the recently developed interpolative decomposition of a low-rank matrix in a recursive manner, an approximation of the original matrix is embedded into a larger but highly structured sparse one that allows fast factorization and application of the inverse.
Journal ArticleDOI
Fast direct solvers for integral equations in complex three-dimensional domains
TL;DR: Methods that are currently under development for the fast, direct solution of boundary integral equations in three dimensions are discussed, based on coupling fast matrix-vector multiplication routines with conjugate-gradient-type schemes.