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

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

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
Adversarial perturbations of physical signals
R. L. Bassett, A. Van Dellen, and A. P. Austin
To appear in Comput. Opt. Appl., 2024
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.
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
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
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
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
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
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
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
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
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
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
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

Thesis

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

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.