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