12 citations · 17 across the 6 of their papers we have counts for
6 papers
On the construction of scattering matrices for irregular or elongated enclosures using Green's representation formula
Carlos Borges, Leslie Greengard, Michael O'Neil +1
Multiple scattering methods are widely used to reduce the computational complexity of acoustic or electromagnetic scattering problems when waves propagate through media containing…
Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data
Travis Askham, Carlos Borges, Jeremy Hoskins +1
Inverse obstacle scattering is the recovery of an obstacle boundary from the scattering data produced by incident waves. This shape recovery can be done by iteratively solving a PD…
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids
Alex Barnett, Philip Greengard, Manas Rachh
The high efficiency of a recently proposed method for computing with Gaussian processes relies on expanding a (translationally invariant) covariance kernel into complex exponential…
A new version of the adaptive fast Gauss transform for discrete and continuous sources
Leslie Greengard, Shidong Jiang, Manas Rachh +1
We present a new version of the fast Gauss transform (FGT) for discrete and continuous sources. Classical Hermite expansions are avoided entirely, making use only of the plane-wave…
On the Diffusion Geometry of Graph Laplacians and Applications
Xiuyuan Cheng, Manas Rachh, Stefan Steinerberger
We study directed, weighted graphs and consider the (not necessarily symmetric) averaging operator whe…
On the location of maximal of solutions of Schrödinger's equation
Manas Rachh, Stefan Steinerberger
We prove an inequality with applications to solutions of the Schrödinger equation. There is a universal constant , such that if is simply connected, $u…