Peter C. Gibson, Ph.D.

Affiliations: 
2000 University of Calgary, Calgary, Alberta, Canada 
Area:
Mathematics
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Michael P. Lamoureux grad student 2000 University of Calgary
 (Moment problems for Jacobi matrices and inverse problems for systems of many coupled oscillators.)
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Publications

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Bugarija S, Gibson PC, Hu G, et al. (2020) Inverse scattering for the one-dimensional Helmholtz equation with piecewise constant wave speed Inverse Problems. 36: 75008
Gibson PC. (2019) Disk polynomials and the one-dimensional wave equation Journal of Approximation Theory. 244: 37-56
Gibson PC. (2018) The refined impedance transform for 1D acoustic reflection data Inverse Problems. 34: 75013
Gibson PC. (2018) Acoustic imaging of layered media Journal of Computational Physics. 372: 524-545
Gibson PC. (2018) A scattering-based algorithm for wave propagation in one dimension Numerical Methods For Partial Differential Equations. 34: 442-450
Gibson PC. (2017) On the measurement operator for scattering in layered media Inverse Problems and Imaging. 11: 87-97
Gibson PC. (2017) Fourier Expansion of Disk Automorphisms via Scattering in Layered Media Journal of Fourier Analysis and Applications. 23: 1495-1516
Gibson PC, Lamoureux MP. (2015) Constructive solutions to Pólya-Schur problems Journal of Functional Analysis. 269: 3264-3281
Gibson PC. (2014) The combinatorics of scattering in layered media Siam Journal On Applied Mathematics. 74: 919-938
Gibson PC, Lamoureux MP. (2012) Identification of minimum-phase-preserving operators on the half-line Inverse Problems. 28
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