213 citations · 1.1k across the 67 of their papers we have counts for
7 papers · 1 filter
Rapid solution of the cryo-EM reconstruction problem by frequency marching
Alex Barnett, Leslie Greengard, Andras Pataki +1
Determining the three-dimensional structure of proteins and protein complexes at atomic resolution is a fundamental task in structural biology. Over the last decade, remarkable pro…
A Fast Summation Method for Oscillatory Lattice Sums
Ryan Denlinger, Zydrunas Gimbutas, Leslie Greengard +1
We present a fast summation method for lattice sums of the type which arise when solving wave scattering problems with periodic boundary conditions. While there are a variety of ef…
Pseudo-spectral methods for the Laplace-Beltrami equation and the Hodge decomposition on surfaces of genus one
Lise-Marie Imbert-Gerard, Leslie Greengard
The inversion of the Laplace-Beltrami operator and the computation of the Hodge decomposition of a tangential vector field on smooth surfaces arise as computational tasks in many a…
High resolution inverse scattering in two dimensions using recursive linearization
Carlos Borges, Adrianna Gillman, Leslie Greengard
We describe a fast, stable algorithm for the solution of the inverse acoustic scattering problem in two dimensions. Given full aperture far field measurements of the scattered fiel…
An integral equation formulation for rigid bodies in Stokes flow in three dimensions
Eduardo Corona, Leslie Greengard, Manas Rachh +1
We present 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 St…
Robust integral formulations for electromagnetic scattering from three-dimensional cavities
Jun Lai, Leslie Greengard, Michael O'Neil
Scattering from large, open cavity structures is of importance in a variety of electromagnetic applications. In this paper, we propose a new well conditioned integral equation for…
Fast convolution with free-space Green's functions
Felipe Vico, Leslie Greengard, Miguel Ferrando
We introduce a fast algorithm for computing volume potentials - that is, the convolution of a translation invariant, free-space Green's function with a compactly supported source d…