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Alex Townsend
Tytuł
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Why are big data matrices approximately low rank?
M Udell, A Townsend
SIAM Journal on Mathematics of Data Science 1 (1), 144-160, 2019
3452019
A fast and well-conditioned spectral method
S Olver, A Townsend
siam REVIEW 55 (3), 462-489, 2013
2632013
Fast and accurate computation of Gauss--Legendre and Gauss--Jacobi quadrature nodes and weights
N Hale, A Townsend
SIAM Journal on Scientific Computing 35 (2), A652-A674, 2013
2362013
An extension of Chebfun to two dimensions
A Townsend, LN Trefethen
SIAM Journal on Scientific Computing 35 (6), C495-C518, 2013
1672013
On the singular values of matrices with displacement structure
B Beckermann, A Townsend
SIAM Journal on Matrix Analysis and Applications 38 (4), 1227-1248, 2017
1192017
Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems
MJ Colbrook, A Townsend
Communications on Pure and Applied Mathematics 77 (1), 221-283, 2024
1022024
Continuous analogues of matrix factorizations
A Townsend, LN Trefethen
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2015
1022015
The automatic solution of partial differential equations using a global spectral method
A Townsend, S Olver
Journal of Computational Physics 299, 106-123, 2015
982015
Rational neural networks
N Boullé, Y Nakatsukasa, A Townsend
Advances in neural information processing systems 33, 14243-14253, 2020
952020
Computing spectral measures of self-adjoint operators
M Colbrook, A Horning, A Townsend
SIAM review 63 (3), 489-524, 2021
722021
A fast, simple, and stable Chebyshev--Legendre transform using an asymptotic formula
N Hale, A Townsend
SIAM Journal on Scientific Computing 36 (1), A148-A167, 2014
722014
Fast polynomial transforms based on Toeplitz and Hankel matrices
A Townsend, M Webb, S Olver
Mathematics of Computation 87 (312), 1913-1934, 2018
652018
A practical framework for infinite-dimensional linear algebra
S Olver, A Townsend
2014 First Workshop for High Performance Technical Computing in Dynamic …, 2014
652014
Dense networks that do not synchronize and sparse ones that do
A Townsend, M Stillman, SH Strogatz
Chaos: An Interdisciplinary Journal of Nonlinear Science 30 (8), 2020
632020
Fast Poisson solvers for spectral methods
D Fortunato, A Townsend
IMA Journal of Numerical Analysis 40 (3), 1994-2018, 2020
622020
Data-driven discovery of Green’s functions with human-understandable deep learning
N Boullé, CJ Earls, A Townsend
Scientific reports 12 (1), 4824, 2022
602022
Computing with functions in two dimensions
A Townsend
University of Oxford, 2014
602014
A nonuniform fast Fourier transform based on low rank approximation
D Ruiz-Antolin, A Townsend
SIAM Journal on Scientific Computing 40 (1), A529-A547, 2018
592018
Fast computation of Gauss quadrature nodes and weights on the whole real line
A Townsend, T Trogdon, S Olver
IMA Journal of Numerical Analysis 36 (1), 337-358, 2016
592016
Fast inverse transform sampling in one and two dimensions
S Olver, A Townsend
arXiv preprint arXiv:1307.1223, 2013
582013
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