1 code implementation • 18 Jan 2021 • Ondrej Maxian, Raul P. Peláez, Leslie Greengard, Aleksandar Donev
Our method achieves spectral accuracy by using Ewald splitting to replace the original Poisson equation for nearly-singular sources with a smooth far-field Poisson equation, combined with a localized near-field correction.
Numerical Analysis Numerical Analysis 65N35, 78M22
1 code implementation • 5 Sep 2017 • Yuanxun Bao, Manas Rachh, Eric Keaveny, Leslie Greengard, Aleksandar Donev
We present a fluctuating boundary integral method (FBIM) for overdamped Brownian Dynamics (BD) of two-dimensional periodic suspensions of rigid particles of complex shape immersed in a Stokes fluid.
Numerical Analysis
2 code implementations • 24 Mar 2014 • Sivaram Ambikasaran, Daniel Foreman-Mackey, Leslie Greengard, David W. Hogg, Michael O'Neil
In many cases, such as regression using Gaussian processes, the covariance matrix is of the form $C = \sigma^2 I + K$, where $K$ is computed using a specified covariance kernel which depends on the data and additional parameters (hyperparameters).
Numerical Analysis Instrumentation and Methods for Astrophysics Statistics Theory Statistics Theory