213 citations · 1.1k across the 67 of their papers we have counts for
6 papers · 1 filter
Transparent Boundary Conditions for the Time-Dependent Schrödinger Equation with a Vector Potential
Jason Kaye, Leslie Greengard
We consider the problem of constructing transparent boundary conditions for the time-dependent Schrödinger equation with a compactly supported binding potential and, if desired, a…
On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries
Leslie Greengard, Shidong Jiang, Jun Wang
Two fundamental difficulties are encountered in the numerical evaluation of time-dependent layer potentials. One is the quadratic cost of history dependence, which has been success…
A new mixed potential representation for the equations of unsteady, incompressible flow
Leslie Greengard, Shidong Jiang
We present a new integral representation for the unsteady, incompressible Stokes or Navier-Stokes equations, based on a linear combination of heat and harmonic potentials. For velo…
Geometry of the Phase Retrieval Problem
Alexander Barnett, Charles L. Epstein, Leslie Greengard +1
One of the most powerful approaches to imaging at the nanometer or subnanometer length scale is coherent diffraction imaging using X-ray sources. For amorphous (non-crystalline) sa…
Integral equation methods for electrostatics, acoustics and electromagnetics in smoothly varying, anisotropic media
Lise-Marie Imbert-Gerard, Felipe Vico, Leslie Greengard +1
We present a collection of well-conditioned integral equation methods for the solution of electrostatic, acoustic or electromagnetic scattering problems involving anisotropic, inho…
Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensions
Jun Wang, Leslie Greengard
We present a hybrid asymptotic/numerical method for the accurate computation of single and double layer heat potentials in two dimensions. It has been shown in previous work that s…