5 papers
Preconditioning for near-contacts in large 2D Stokes flows: a locally compressed method of fundamental solutions
Anna Broms, Anna-Karin Tornberg, Alex H. Barnett
We tackle two key difficulties in the simulation of the viscous hydrodynamics of a large dense collection of rigid particles: (i) the poor convergence rate of an iterative solution…
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 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…
Truncated kernel windowed Fourier projection: a fast algorithm for the 3D free-space wave equation
Nour G. Al Hassanieh, Alex H. Barnett, Leslie Greengard
We present a spectrally accurate fast algorithm for evaluating the solution to the scalar wave equation in free space driven by a large collection of point sources in a bounded dom…
A fast algorithm for the wave equation using time-windowed Fourier projection
Nour G. Al Hassanieh, Alex H. Barnett, Leslie Greengard
We introduce a new arbitrarily high-order method for the rapid evaluation of hyperbolic potentials (space-time integrals involving the Green's function for the scalar wave equation…