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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Spectral edge detection in two dimensions using wavefronts
Leslie Greengard,C. Stucchio +1 more
TL;DR: In this article, a multidimensional algorithm was proposed to identify the wavefront of a function from spectral data, which is the set of points (x, k → ) ∈ R N × (S N − 1 / { ± 1 } ) where k → is the direction of the normal line to the curve or surface of discontinuity at x.
Posted Content
Transparent Boundary Conditions for the Time-Dependent Schr\"odinger Equation with a Vector Potential
Jason Kaye,Leslie Greengard +1 more
TL;DR: In this paper, the authors considered the problem of constructing transparent boundary conditions for the time-dependent Schrodinger equation with a compactly supported binding potential and, if desired, a spatially uniform, timedependent electromagnetic vector potential.
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Norm-preserving discretization of integral equations for elliptic PDEs with internal layers I: The one-dimensional case
Travis Askham,Leslie Greengard +1 more
TL;DR: It is shown that high-order accurate Nystrom discretization leads to well-conditioned finite-dimensional linear systems if and only if the discretized is both norm-preserving in a correctly chosen $L^p$ space and adaptively refined in the internal layer.
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Strongly consistent marching schemes for the wave equation
Jing-Rebecca Li,Leslie Greengard +1 more
TL;DR: This paper refine and analyze a subclass of explicit marching schemes, which satisfy a condition the authors refer to as strong u-consistency, which requires that the evolution scheme be exact for a single-valued approximation to the solution at the previous time steps.
Posted Content
A new mixed potential representation for the equations of unsteady, incompressible flow
Leslie Greengard,Shidong Jiang +1 more
TL;DR: In this article, a new integral representation for the Navier-Stokes or Stokes equations based on a linear combination of heat and harmonic potentials is presented. But the authors focus on the uncertainty in the mixed potential representation.