
Career
- 2013-date: University Lecturer, DAMTP, University of Cambridge, UK
- 2012-date: Royal Society University Research Fellow, University of Cambridge, UKĀ
- 2012: Marie Curie Fellow, University of Vienna Austria
- 2009 -2012: Junior Research Fellow, University of Cambridge, Homerton College UK
- 2008 -2009: Von Karman Instructor, California Institute of Technology, USA
Research
Anders is a member of the Department of Applied Mathematics and Theoretical Physics and head of the Applied Functional and Harmonic Analysis research group. His current research interests include but are not limited to Functional Analysis (applied), operator/ Spectral Theory, Compressed Sensing, Mathematical Signal Processing, Sampling Theory, Compressed Sensing, Mathematical Signal Processing, Sampling Theory, Computational Harmonic Analysis, Inverse problems, Medical Imaging, Geometric Intergration, Numerical Analysis, C*- algebras.
Selected Publications
- A. C. Hansen, On the Solvability Complexity Index, the n-Pseudospectrum and Approximations of Spectra of Operators, J. Amer. Math. Soc. 24, no. 1, 81-124
- A. C. Hansen, On the approximation of Spectra of linear operators on Hilbert spaces, J. Funct. Anal. 254 no.8, 2092--2126
- A. C. Hansen, Infinite dimensional numerical linear algebra; theory and applications, Proc. R. Soc. Lond. Ser. A. 466, no.2124, 3539-3559
- B. Adcock, A. C. Hansen, Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon, Appl. Comput. Harmon. Anal. 32, no.3, 357-388
Publications
On the order of deferred correction
– Applied Numerical Mathematics
(2011)
61,
961
(doi: 10.1016/j.apnum.2011.04.001)
A theoretical framework for backward error analysis on manifolds
– The Journal of Geometric Mechanics
(2011)
3,
81
(doi: 10.3934/jgm.2011.3.81)
ON THE SOLVABILITY COMPLEXITY INDEX, THE n-PSEUDOSPECTRUM AND APPROXIMATIONS OF SPECTRA OF OPERATORS
– Journal of the American Mathematical Society
(2011)
24,
81
On the order of deferred correction
– Applied Numerical Mathematics
(2011)
Infinite-dimensional numerical linear algebra: Theory and applications
– Proceedings of the Royal Society A
(2010)
466,
3539
(doi: 10.1098/rspa.2009.0617)
On the approximation of spectra of linear operators on Hilbert spaces
– Journal of Functional Analysis
(2008)
254,
2092
(doi: 10.1016/j.jfa.2008.01.006)
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