Ben Adcock

Department of Mathematics
Purdue University
150 N. University Street
West Lafayette, IN 47907
USA

Telephone	1-765-494-1981
Email	adcock [at] purdue.edu

I am currently an Assistant Professor at Purdue University. From 2010-2012 I was a NSERC/PIMS postdoctoral fellow at Simon Fraser University, working with Professor Nilima Nigam. Prior to that, I was a PhD student in the Numerical Analysis group at the University of Cambridge under the supervision of Professor Arieh Iserles. My CV can be found here.

In 2011 I received a Leslie Fox Prize for my work on stable reconstructions in Hilbert spaces.

Numerical analysis, applied and computational harmonic analysis, compressed sensing, sampling theory, mathematical signal processing, nonuniform sampling, spectral methods for PDEs, approximation theory, resolution of the Gibbs phenomenon

Spring 2013: MATH 266

B. Adcock, A. C. Hansen, C. Poon and B. Roman
Breaking the coherence barrier: asymptotic incoherence and asymptotic sparsity in compressed sensing.
Preprint [pdf]. Also arXiv:1302.0561 [link].

B. Adcock, A. C. Hansen and A. Shadrin
A stability barrier for reconstructions from Fourier samples.
Preprint [pdf]. Also arXiv:1210.7831 [link].
B. Adcock, A. C. Hansen and C. Poon
Beyond consistent reconstructions: optimality and sharp bounds for generalized sampling, and application to the uniform resampling problem.
DAMTP Tech. Rep. 2011/NA10 [pdf].
B. Adcock, A. C. Hansen and C. Poon
On optimal wavelet reconstructions from Fourier samples: linearity and universality of the stable sampling rate.
DAMTP Tech. Rep. 2012/NA07 [pdf]. Also arXiv:1208.5959 [link].
B. Adcock, D. Huybrechs and J. Martin-Vaquero
On the numerical stability of Fourier extensions.
Tech. Rep. TW615, Dept. Computer Science, K.U. Leuven [pdf]. Also arXiv:1206.4111 [link].
B. Adcock, A. C. Hansen, E. Herrholz and G. Teschke
Generalized sampling, infinite-dimensional compressed sensing, and semi-random sampling for asymptotically incoherent dictionaries.
DAMTP Tech. Rep. 2011/NA13 [pdf].
B. Adcock and A. C. Hansen
Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients.
DAMTP Tech. Rep. 2011/NA02 [pdf].
B. Adcock and A. C. Hansen
Generalized sampling and infinite-dimensional compressed sensing.
DAMTP Tech. Rep. 2011/NA12 [pdf].
B. Adcock and D. Huybrechs
On the resolution power of Fourier extensions for oscillatory functions.
Tech. Rep. TW597, Dept. Computer Science, K.U. Leuven [pdf]. Also arXiv:1210.7831 [link].

B. Adcock, A. C. Hansen, E. Herrholz and G. Teschke
Generalized sampling: extensions to frames and inverse and ill-posed problems.
Inverse Problems (to appear) [pdf].

B. Adcock and A. C. Hansen
Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon.
Appl. Comput. Harm. Anal. 32(3): 357-388 [link].
Preprint as DAMTP Tech. Rep. 2010/NA10 [pdf]. Also arXiv:1011.6625 [link].
B. Adcock and A. C. Hansen
A generalized sampling theorem for stable reconstructions in arbitrary bases.
J. Fourier Anal. Appl. 18(4):685-716 [link].
Preprint as DAMTP Tech. Rep. NA2010/07 [pdf]. Also arXiv:1007.1852 [link].
B. Adcock, A. Iserles and S. P. Nørsett
From high oscillation to rapid approximation II: Expansions in Birkhoff series.
IMA J. Num. Anal. 32(1): 105-140 [link].
Preprint as DAMTP Tech. Rep. 2010/NA02 [pdf].

B. Adcock
On the convergence of expansions in polyharmonic eigenfunctions.
J. Approx. Theory 163(11): 1638-1674 [link].
Preprint as DAMTP Tech. Rep. 2010/NA06 [pdf].
B. Adcock
Gibbs phenomenon and its removal for a class of orthogonal expansions.
BIT 51(1): 7-41 [link].
Preprint [pdf].
B. Adcock
Convergence acceleration of modified Fourier series in one or more dimensions.
Math. Comp. 80(273): 225-261 [link].
Preprint as DAMTP Tech. Rep. 2008/NA11 [pdf].

B. Adcock
Multivariate modified Fourier series and application to boundary value problems.
Numer. Math. 115(4): 511-552 [link].
Preprint as DAMTP Tech. Rep. 2008/NA08 [pdf].

B. Adcock
Univariate modified Fourier methods for second order boundary value problems.
BIT 49(2): 249-280 [link].
Preprint as DAMTP Tech. Rep. 2007/NA08 [pdf].

B. Adcock and D. Huybrechs
Accuracy of the Fourier extension method for oscillatory phenomena.
Proceedings of the 10th International Conference on Mathematical and Numerical Aspects of Waves, 2011.
[pdf].
B. Adcock and A. C. Hansen
Reduced consistency sampling in Hilbert spaces.
Proceedings of the 9th International Conference on Sampling Theory and Applications, 2011.
[pdf].
B. Adcock and D. Huybrechs
Multivariate modified Fourier expansions.
Proceedings of the 8th International Conference on Spectral and High Order Methods (E. Rønquist et al, ed.), 2010.
[pdf].

B. Adcock
Modified Fourier expansions: theory, construction and applications.
PhD thesis.
[pdf].
B. Adcock
Birkhoff-Galerkin methods for linear boundary value problems.
Smith-Knight/Rayleigh-Knight Prize.

Compressed sensing without incoherence, Purdue University, April 2013 [pdf].
Breaking the coherence barrier: asymptotic incoherence, asymptotic sparsity and multilevel sampling in compressed sensing, Approximation Theory 14, San Antonio, April 2013 [pdf].
Fast, stable and accurate approximations with Fourier extensions, University of New Hampshire, February 2013 [pdf].
Breaking the coherence barrier: asymptotic incoherence and asymptotic sparsity in compressed sensing, Vanderbilt/Stanford/UC Davis, 2012 [pdf].
Is there life beyond bases? Numerically stable function approximation with infinite frames, Chebfun & Beyond, Oxford, September 2012 [pdf].
Generalized sampling and infinite-dimensional compressed sensing, Fields Institute, Toronto, May 2012 [pdf].

Last updated: 12 April 2013