A picture of me.

Alex Townsend

Assistant Professor

Cornell University

townsend@cornell.edu

Malott 589

CV


Here are three images from my research:

Papers

  1. D. Fortunato and A. Townsend, Fast Poisson solvers for spectral methods, submitted, pdf

  2. J. Słomka, A. Townsend, and J. Dunkel, Stokes' second problem and an Einstein-de Haas analogue effect in active fluids, submitted, pdf

  3. M. Udell and A. Townsend, Nice latent variable models have log-rank, submitted, pdf

  4. D. Ruiz-Antolin and A. Townsend, A nonuniform fast Fourier transform based on low rank approximation, submitted, pdf

  5. B. Beckermann and A. Townsend, On the singular values of matrices with displacement structure, to appear in SIMAX, pdf

  6. L. Demanet and A. Townsend, Stable extrapolation of analytic functions, submitted, pdf

  7. A. Townsend, M. Webb, and S. Olver, Fast polynomial transforms based on Toeplitz and Hankel matrices, to appear in Math. Comp., 2017, pdf

  8. H. Wilber, A. Townsend, and G. B. Wright, Computing with functions in spherical and polar geometrices II. The disk, to appear in SISC, 2017 pdf

  9. A. Townsend, Gaussian elimination corrects pivoting mistakes, submitted, pdf

  10. A. Townsend, H. Wilber, and G. B. Wright, Computing with functions in spherical and polar geometries I. The sphere, SISC, 38 (2016), C403-C425.. pdf

  11. V. Noferini and A. Townsend, Numerical instability of resultant methods for multidimensional rootfinding, SINUM, 54 (2016), pp. 719-743. pdf

  12. N. Hale and A. Townsend, A fast FFT-based discrete Legendre transform, IMA Numer. Anal., 36 (2016), pp. 1670-1684. pdf

  13. A.Townsend, A fast analysis-based discrete Hankel transform using asymptotic expansions, SINUM, 53 (2015), pp. 1897-1917. pdf

  14. A. Townsend, The race for high order Gauss-Legendre quadrature, in SIAM News, March 2015. pdf

  15. A. Townsend, T. Trogdon, and S. Olver, Fast computation of Gauss quadrature nodes and weights on the whole real line, IMA Numer. Anal., 36 (2016), pp. 337-358. pdf.

  16. S. Olver and A. Townsend, A practical framework for infinite-dimensional linear algebra, in HPTCDL 2014, IEEE press, pp. 57-62. pdf

  17. A. Townsend and S. Olver, The automatic solution of partial differential equations using a global spectral method, J. Comput. Phys., 299, 2015, pp. 106-123. pdf

  18. N. Hale and A. Townsend, An algorithm for the convolution of Legendre series, SISC, 36 (2014), A1207-A1220. pdf

  19. A. Townsend and L. N. Trefethen, Continuous analogues of matrix factorizations, Proc. R. Soc. A., 471 (2015). pdf

  20. N. Hale and A. Townsend, A fast, simple, and stable Chebyshev--Legendre transform using an asymptotic formula, SISC, 36 (2014), pp. A148-A167. pdf

  21. S. Olver and A. Townsend, Fast inverse transform sampling in one and two dimensions, submitted. pdf

  22. Y. Nakatsukasa, V. Noferini, and A. Townsend, Computing the common zeros of two bivariate functions via Bezout resultants, Numerische Mathematik, 129 (2015), pp 181-209. pdf

  23. A. Townsend and L. N. Trefethen, An extension of Chebfun to two dimensions, SISC, 35 (2013), pp. C495-C518. pdf

  24. Y. Nakatsukasa, V. Noferini, and A. Townsend, Vector spaces of linearizations for matrix polynomials: A bivariate polynomial approach, SIMAX, 38 (2017), pp. 1-29. pdf

  25. A. Townsend and L. N. Trefethen, Gaussian elimination as an iterative algorithm, SIAM News, March 2013. pdf

  26. N. Hale and A. Townsend, Fast and accurate computation of Gauss--Legendre and Gauss--Jacobi quadrature nodes and weights, SISC, 35 (2013), pp. A652-A672. pdf

  27. S. Olver and A. Townsend, A fast and well-conditioned spectral method, SIAM Review, 55 (2013), pp. 462-489. pdf

  28. A. Townsend and H. Wendland, Multiscale analysis in Sobolev spaces on bounded domains with zero boundary values, IMA J. Numer. Anal., 33 (2013), pp. 1095-1114. pdf