3 papers
math.NA2026
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…
math.NA2025
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…
math.NA2025
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…