Anthony P. Austin

Assistant Professor

Department of Applied Mathematics
Naval Postgraduate School
833 Dyer Rd., Bldg. 232, SP-248B
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).

Publications

Adversarial perturbations of physical signals R. L. Bassett, A. Van Dellen, and A. P. Austin Submitted, 2024	Preprint
A rational filtering algorithm for sequences of shifted symmetric linear systems with applications to frequency response analysis A. P. Austin, L. Horesh, and V. Kalantzis Submitted, 2023	Preprint Code
A parallel algorithm for computing partial spectral factorizations of matrix pencils via Chebyshev approximation T. Xu, A. P. Austin, V. Kalantzis, and Y. Saad SIAM J. Sci. Comput. 46 (2024), pp. S324-S351. DOI: 10.1137/22M1501155	PDF
On trigonometric interpolation in an even number of points A. P. Austin Electron. Trans. Numer. Anal. 58 (2023), pp. 271-288. DOI: 10.1553/etna_vol58s271	PDF
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-C289. 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
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

Thesis

Some New Results on and Applications of Interpolation in Numerical Computation
A. P. Austin
D. Phil. Thesis, University of Oxford Mathematical Institute, 2016

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Other Items

During AY2022/Q3, I co-organized the NPS Junior Faculty Research Seminar together with Robert Bassett.

Material contained herein is made available for the purpose of peer review and discussion and does not necessarily reflect the views of the Department of the Navy or the Department of Defense.