218 citations · 397 across the 19 of their papers we have counts for
4 papers · 1 filter
The periodic table of the elements with periods
Gregory Beylkin
A modification of the standard periodic table of the elements reveals periods, where . The new arrangement places hydrogen with halogens and keeps the rare-ea…
Adaptive algorithm for electronic structure calculations using reduction of Gaussian mixtures
Gregory Beylkin, Lucas Monzon, Xinshuo Yang
We present a new adaptive method for electronic structure calculations based on novel fast algorithms for reduction of multivariate mixtures. In our calculations, spatial orbitals…
Efficient Fourier Basis Particle Simulation
Matthew S. Mitchell, Matthew T. Miecnikowski, Gregory Beylkin +1
The standard particle-in-cell algorithm suffers from grid heating. There exists a gridless alternative which bypasses the deposition step and calculates each Fourier mode of the ch…
Reduction of multivariate mixtures and its applications
Gregory Beylkin, Lucas Monzon, Xinshuo Yang
We consider fast deterministic algorithms to identify the "best" linearly independent terms in multivariate mixtures and use them to compute, up to a user-selected accuracy, an equ…