218 citations · 397 across the 19 of their papers we have counts for
22 papers
Fast convolution algorithm for state space models
Gregory Beylkin
We present an unconditionally stable algorithm for applying matrix transfer function of a linear time invariant system (LTI) in time domain. The state matrix of an LTI system used…
On representations of the Helmholtz Green's function
Gregory Beylkin
We consider the free space Helmholtz Green's function and split it into the sum of oscillatory and non-oscillatory (singular) components. The goal is to separate the impact of the…
Fast exchange with Gaussian basis set using robust pseudospectral method
Sandeep Sharma, Alec F. White, Gregory Beylkin
In this article we present an algorithm to efficiently evaluate the exchange matrix in periodic systems when Gaussian basis set with pseudopotentials are used. The usual algorithm…
On computing bound states of the Dirac and Schrödinger Equations
Gregory Beylkin, Joel Anderson, Robert J. Harrison
We cast the quantum chemistry problem of computing bound states as that of solving a set of auxiliary eigenvalue problems for a family of parameterized compact integral operators.…
A fast algorithm for computing the Boys function
Gregory Beylkin, Sandeep Sharma
We present a new fast algorithm for computing the Boys function using a nonlinear approximation of the integrand via exponentials. The resulting algorithms evaluate the Boys functi…
Efficient evaluation of two-center Gaussian integrals in periodic systems
Sandeep Sharma, Gregory Beylkin
By using Poisson's summation formula, we calculate periodic integrals over Gaussian basis functions by partitioning the lattice summations between the real and reciprocal space, wh…