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.
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The Anisotropic Truncated Kernel Method for Convolution with Free-Space Green's Functions
TL;DR: A common task in computational physics is the convolution of a translation invariant, free-space Green's function with a smooth and compactly supported source density.
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High resolution inverse scattering in two dimensions using recursive linearization
TL;DR: In this paper, a fast, stable algorithm for the solution of the inverse acoustic scattering problem in two dimensions is described, which requires only a sequence of linear least squares problems at successively higher frequencies.
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Simple and efficient representations for the fundamental solutions of Stokes flow in a half-space
TL;DR: In this article, the authors derived new formulas for the fundamental solutions of slow viscous flow, governed by the Stokes equations, in a half-space, and showed that the velocity field induced by a Stokeslet can be annihilated on the boundary (to establish a zero slip condition) using a single reflected stokeslet combined with a single Papkovich-Neuber potential.
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Sensitivity analysis of photonic crystal fiber.
TL;DR: This paper demonstrates that sensitivity analysis of how small perturbations in the fiber's geometric structure cause variations in the fibers' fundamental modes is feasible using highly accurate boundary integral techniques.
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A high-order wideband direct solver for electromagnetic scattering from bodies of revolution
TL;DR: In this article, a high-order accurate solver based on the generalized Debye source representation of time-harmonic electromagnetic fields is presented. But this solver uses a Nystrom discretization of a one-dimensional generating curve and high order integral equation methods for applying and inverting surface differentials.