213 citations · 1.1k across the 67 of their papers we have counts for
4 papers · 1 filter
A fast direct solver for structured linear systems by recursive skeletonization
Kenneth L. Ho, Leslie Greengard
We present a fast direct solver for structured linear systems based on multilevel matrix compression. Using the recently developed interpolative decomposition of a low-rank matrix…
On the efficient representation of the half-space impedance Green's function for the Helmholtz equation
Michael O'Neil, Leslie Greengard, Andras Pataki
A classical problem in acoustic (and electromagnetic) scattering concerns the evaluation of the Green's function for the Helmholtz equation subject to impedance boundary conditions…
Fast multi-particle scattering: a hybrid solver for the Maxwell equations in microstructured materials
Zydrunas Gimbutas, Leslie Greengard
A variety of problems in device and materials design require the rapid forward modeling of Maxwell's equations in complex micro-structured materials. By combining high-order accura…
Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator
Andras Pataki, Leslie Greengard
In this paper, we describe a new class of fast solvers for separable elliptic partial differential equations in cylindrical coordinates with free-space radiation conditio…