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).
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Multiscale modeling framework using element-based Galerkin methods for moist atmospheric limited-area simulations S. Kang, J. F. Kelly, A. P. Austin, and F. X. Giraldo Submitted, 2024 |
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Adversarial perturbations of physical signals R. L. Bassett, A. Van Dellen, and A. P. Austin Submitted, 2024 |
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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 To appear in SIAM J. Sci. Comput, 2024. |
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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 |
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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 |
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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 |
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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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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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Some New Results on and Applications of Interpolation in Numerical Computation A. P. Austin D. Phil. Thesis, University of Oxford Mathematical Institute, 2016 |
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.