Anthony P. Austin

Assistant Professor

Department of Applied Mathematics
Naval Postgraduate School
833 Dyer Rd., Bldg. 232, SP-264
Monterey, CA 93943-5216

anthony (dot) austin (at) nps (dot) edu
+1 (831) 656-3629 (tel)
+1 (831) 656-2355 (fax)

Research Interests

Numerical linear algebra, especially large-scale eigenvalue problems
Approximation theory and algorithms
High-order methods for partial differential equations
High-performance computing, especially for platforms that employ GPUs
Computational complex analysis

I am an assistant professor in the Department of Applied Mathematics at the Naval Postgraduate School.

Prior to my current appointment, I worked with with Prof. Tim Warburton in the Department of Mathematics at Virginia Tech. Prior to that, I was the J. H. Wilkinson Fellow in the Mathematics and Computer Science Division at Argonne National Laboratory. As a Ph.D. student, I was an active developer for the Chebfun project (source code available on GitHub).

Together with Robert Bassett, I co-organize the NPS Junior Faculty Research Seminar. If you're a junior faculty member at NPS, please let one of us know if you're interested in giving a talk!

Publications

Initial guesses for sequences of linear systems in a GPU-accelerated incompressible flow solver A. P. Austin, N. Chalmers, T. Warburton SIAM J. Sci. Comput. 43 (2021), pp. C259-289. DOI: 10.1137/20M1368677	PDF
Practical algorithms for multivariate rational approximation A. P. Austin, M. Krishnamoorthy, S. Leyffer, S. Mrenna, J. Müller, and H. Schulz Comput. Phys. Commun. 261 (2021), pp. 107663 (1-17) DOI: 10.1016/j.cpc.2020.107663	PDF Supplement
Simultaneous sensing error recovery and tomographic inversion using an optimization-based approach A. P. Austin, Z. Di, S. Leyffer, and S. M. Wild SIAM J. Sci. Comput. 41 (2019), pp. B497-B521. DOI: 10.1137/18M121993X	PDF
Stable computation of generalized matrix functions via polynomial interpolation J. L. Aurentz, A. P. Austin, M. Benzi, and V. Kalantzis SIAM J. Matrix Anal. Appl. 40 (2019), pp. 210-234 DOI: 10.1137/18M1191786	PDF
A fast algorithm for the convolution of functions with compact support using Fourier extensions K. Xu, A. P. Austin, and K. Wei SIAM J. Sci. Comput. 39 (2017), pp. A3089-A3106 DOI: 10.1137/17M1114764	PDF
Trigonometric interpolation and quadrature in perturbed points A. P. Austin and L. N. Trefethen SIAM J. Numer. Anal. 55 (2017), pp. 2113-2122 DOI: 10.1137/16M1107760	PDF Supplement
Some New Results on and Applications of Interpolation in Numerical Computation A. P. Austin Ph. D. Thesis, University of Oxford Mathematical Institute, 2016	PDF
On the numerical stability of the second barycentric formula for trigonometric interpolation in shifted equispaced points A. P. Austin and K. Xu IMA J. Numer. Anal. 37 (2017), pp. 1355-1374 DOI: 10.1093/imanum/drw038	PDF
Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic A. P. Austin and L. N. Trefethen SIAM J. Sci. Comput. 37 (2015), pp. A1365-A1387 DOI: 10.1137/140984129	PDF
Numerical algorithms based on analytic function values at roots of unity A. P. Austin, P. Kravanja, and L. N. Trefethen SIAM J. Numer. Anal. 52 (2014), pp. 1795-1821 DOI: 10.1137/130931035	PDF

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