1 citations · 1 across the 6 of their papers we have counts for
8 papers
An Adaptive Fast Algorithm for Periodic Coulomb Lattice Sums in Arbitrary Unit Cells
Xuanzhao Gao, Leslie Greengard, Shidong Jiang
We present a fast algorithm for evaluating conditionally convergent Coulomb lattice sums, governed by the Laplace equation with periodic boundary conditions on arbitrary unit cells…
A spectral method for the rapid evaluation of hyperbolic potentials in two dimensions using windowed Fourier projection
Nour G. Al Hassanieh, Leslie Greengard, Alex H. Barnett
We present a fast algorithm for evaluating the (non-smooth) solution of the free-space two-dimensional (2D) scalar wave equation with many point sources, each with a high-frequency…
Space-time adaptive methods for parabolic evolution equations
Jun Wang, Jie Su, Leslie Greengard +2
We present a family of integral equation-based solvers for the heat equation, reaction-diffusion systems, the unsteady Stokes equation and the incompressible Navier-Stokes equation…
Interpolative separable density fitting on adaptive real space grids
Hai Zhu, Chia-Nan Yeh, Miguel A. Morales +3
We generalize the interpolative separable density fitting (ISDF) method, used for compressing the four-index electron repulsion integral (ERI) tensor, to incorporate adaptive real…
Fast summation of Stokes potentials using a new kernel-splitting in the DMK framework
Ludvig af Klinteberg, Leslie Greengard, Shidong Jiang +1
Classical Ewald methods for Coulomb and Stokes interactions rely on ``kernel-splitting," using decompositions based on Gaussians to divide the resulting potential into a near field…
Scattering theory for Stokes flow in complex branched structures
Haiyang Wang, Fredrik Fryklund, Samuel Potter +1
Slow, viscous flow in branched structures arises in many biological and engineering settings. Direct numerical simulation of flow in such complicated multi-scale geometry, however,…
Accelerating Molecular Dynamics Simulations using Fast Ewald Summation with Prolates
Jiuyang Liang, Libin Lu, Alex Barnett +2
The evaluation of long-range Coulomb interactions is a significant cost in molecular dynamics (MD), even when using Particle Mesh Ewald (PME) or Particle-Particle-Particle-Mesh (PP…
A Lightweight, Geometrically Flexible Fast Algorithm for the Evaluation of Layer and Volume Potentials
Fredrik Fryklund, Leslie Greengard, Shidong Jiang +1
Over the last two decades, several fast, robust, and high-order accurate methods have been developed for solving the Poisson equation in complicated geometry using potential theory…