We present a new version of the fast multipole method (FMM) for screened Coulomb
interactions in three dimensions. Existing schemes can compute such interactions in O(N) time, …

Understanding the detailed dynamics of neuronal networks will require the simultaneous
measurement of spike trains from hundreds of neurons (or more). Currently, approaches to …

We describe a wideband version of the Fast Multipole Method for the Helmholtz equation in
three dimensions. It unifies previously existing versions of the FMM for high and low …

The brain is a massive neuronal network, organized into anatomically distributed sub-circuits,
with functionally relevant activity occurring at timescales ranging from milliseconds to years…

Background The throughput of electrophysiological recording is growing rapidly, allowing
thousands of simultaneous channels, and there is a growing variety of spike sorting algorithms …

We present a fast direct solver for the simulation of electromagnetic scattering from an arbitrarily
shaped, large, empty cavity embedded in an infinite perfectly conducting half-space. The …

One of the most powerful approaches to imaging at the nanometer length scale is coherent
diffraction imaging using x-ray sources. For amorphous (non-crystalline) samples, raw data …

… T he new low-frequency FMM (LF-FMM) requires 40p2 + 6p3 operations per box. For this new
LF… The LFFMM we present uses a combination of evanescent and propagating modes and …

A multiple-scattering approach is presented to compute the solution of the Helmholtz equation
when a number of spherical scatterers are nested in the interior of an acoustically large …

… Claude A Greengard … M(t)], where u.,,~a['lf,O] is the vector field defined for V..O:fa,:it.J"~_.Rs
by setting U4.~a['lf;O](%)= 2; K4{z-'lf(~))O{adp, . · …