73 citations · 398 across the 44 of their papers we have counts for
4 papers · 1 filter
Fast Poisson solvers for spectral methods
Daniel Fortunato, Alex Townsend
Poisson's equation is the canonical elliptic partial differential equation. While there exist fast Poisson solvers for finite difference and finite element methods, fast Poisson so…
Stokes' second problem and reduction of inertia in active fluids
Jonasz Słomka, Alex Townsend, Jörn Dunkel
We study a generalized Navier-Stokes model describing the thin-film flows in non-dilute suspensions of ATP-driven microtubules or swimming bacteria that are enclosed by a moving ri…
Why are Big Data Matrices Approximately Low Rank?
Madeleine Udell, Alex Townsend
Matrices of (approximate) low rank are pervasive in data science, appearing in recommender systems, movie preferences, topic models, medical records, and genomics. While there is a…
A nonuniform fast Fourier transform based on low rank approximation
Diego Ruiz-Antolin, Alex Townsend
By viewing the nonuniform discrete Fourier transform (NUDFT) as a perturbed version of a uniform discrete Fourier transform, we propose a fast, stable, and simple algorithm for com…