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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
A new version of the fast multipole method for screened Coulomb interactions in three dimensions
Leslie Greengard,Jingfang Huang +1 more
TL;DR: A new version of the fast multipole method (FMM) for screened Coulomb interactions in three dimensions relies on an expansion in evanescent plane waves, with which the amount of work can be reduced to 40p2 + 6p3 operations per box.
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A Fast Poisson Solver for Complex Geometries
TL;DR: This paper presents a new fast Poisson solver based on potential theory rather than on direct discretization of the partial differential equation, which combines fast algorithms for computing volume integrals and evaluating layer potentials on a grid with a fast multipole accelerated integral equation solver.
Journal ArticleDOI
Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation
TL;DR: In this article, the authors describe a new approach to the imposition of exact nonreflecting boundary conditions for the scalar wave equation, and compare the performance of their approach with that of existing methods by coupling the boundary conditions to finite-difference schemes.
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Integral Equation Methods for Stokes Flow and Isotropic Elasticity in the Plane
TL;DR: In this article, a class of integral equation methods for the solution of biharmonic boundary value problems, with applications to two-dimensional Stokes flow and isotropic elasticity, is presented.
Book
Laplace's Equation and the Dirichlet-Neumann Map in Multiply Connected Domains
TL;DR: In this paper, a new boundary integral equation approach, valid for both interior and exterior problems, is presented, which requires the solution of a single linear system of dimension N + M, where M is the number of boundary components and N is the total number of points in the discretization.