213 citations · 1.1k across the 67 of their papers we have counts for
7 papers · 1 filter
An FMM Accelerated Poisson Solver for Complicated Geometries in the Plane using Function Extension
Fredrik Fryklund, Leslie Greengard
We describe a new, adaptive solver for the two-dimensional Poisson equation in complicated geometries. Using classical potential theory, we represent the solution as the sum of a v…
pmwd: A Differentiable Cosmological Particle-Mesh -body Library
Yin Li, Libin Lu, Chirag Modi +7
The formation of the large-scale structure, the evolution and distribution of galaxies, quasars, and dark matter on cosmological scales, requires numerical simulations. Differentia…
Differentiable Cosmological Simulation with Adjoint Method
Yin Li, Chirag Modi, Drew Jamieson +5
Rapid advances in deep learning have brought not only myriad powerful neural networks, but also breakthroughs that benefit established scientific research. In particular, automatic…
On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary
Carlos Borges, Manas Rachh, Leslie Greengard
The acoustic inverse obstacle scattering problem consists of determining the shape of a domain from measurements of the scattered far field due to some set of incident fields (prob…
Eliminating artificial boundary conditions in time-dependent density functional theory using Fourier contour deformation
Jason Kaye, Alex Barnett, Leslie Greengard +2
We present an efficient method for propagating the time-dependent Kohn-Sham equations in free space, based on the recently introduced Fourier contour deformation (FCD) approach. Fo…
Robust ab initio solution of the cryo-EM reconstruction problem at low resolution with small data sets
Aaditya V. Rangan, Leslie Greengard
Single particle cryo-electron microscopy has become a critical tool in structural biology over the last decade, able to achieve atomic scale resolution in three dimensional models…
FMM-LU: A fast direct solver for multiscale boundary integral equations in three dimensions
Daria Sushnikova, Leslie Greengard, Michael O'Neil +1
We present a fast direct solver for boundary integral equations on complex surfaces in three dimensions using an extension of the recently introduced recursive strong skeletonizati…