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Schedule, Notes/Handouts & Videos

Inverse problems and Applications November 05, 2001 - November 16, 2001

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Nov 05, 2001
Monday
08:00 AM - 05:00 PM
  Ultrasound imaging using eigenfunctions of the scattering operator
Adrian I. Nachman
08:00 AM - 05:00 PM
  Inversion and range of the attenuated Radon transform
Frank Natterer
08:00 AM - 05:00 PM
  Time reversed acoustics
Mathias Fink
08:00 AM - 05:00 PM
  Long-range transmission of nonlinear waves in random media
Josselin Garnier
08:00 AM - 05:00 PM
  Time reversal in solids
Chrysoula Tsogka (University of Crete)
08:00 AM - 05:00 PM
  Shear modulus imaging of tissues with transient elastography
Mathias Fink
08:00 AM - 05:00 PM
  Tank-scale experiments on applications to time-reversal acoustics
Andres Larraza
08:00 AM - 05:00 PM
  Refocusing for classical waves in complicated media
Leonid Ryzhik
10:45 AM - 11:50 AM
  Nonlinear problems in seismic inverse scattering
William Symes (Rice University)
11:50 AM - 02:00 PM
  Aharonov-Bohm effect and time-dependent inverse scattering theory
Ricardo Weder (UNAM - Universidad Nacional Autonoma de Mexico)
02:00 PM - 03:00 PM
  Local uniqueness theorems in inverse obstacle scattering and associated reconstruction methods
William Rundell
Nov 06, 2001
Tuesday
09:30 AM - 11:00 AM
  The linear sampling method for anisotropic media
David Colton (University of Delaware)
11:00 AM - 02:00 PM
  An inverse scattering problem for the 2D transport equation
Plamen Stefanov
02:00 PM - 03:30 PM
  Identification of parameters in polymer crystallization, semiconductor models and elasticity via iterative regularization methods
Heinz Engl
03:30 PM - 04:00 PM
  Geometric singularities in tomography
David Finch
04:00 PM - 05:00 PM
  A direct regularized reconstruction method for EIT
Nov 07, 2001
Wednesday
09:30 AM - 11:00 AM
  Microlocal analysis of seismic inversion: Characteristic strips, generalized Radon transform, and differential semblance optimization
Maarten de Hoop (Rice University)
11:00 AM - 02:00 PM
  Birkhoff normal forms in semi-classical inverse problems
Maciej Zworski (University of California, Berkeley)
02:00 PM - 03:30 PM
  Microlocal aspects of synthetic aperture imagery
Clifford Nolan
03:30 PM - 04:30 PM
  Phase space analysis of stability of inverse problems
Victor Palamodov
Nov 08, 2001
Thursday
09:30 AM - 11:00 AM
  Inverse and optimization problems involving eigenvalues and eigenfunctions
Fadil Santosa
11:00 AM - 02:00 PM
  Inverse problems in many-body scattering
Andras Vasy (Stanford University)
02:00 PM - 03:30 PM
  Inverse problem for Maxwell equation in time-domain
Matti Lassas
03:30 PM - 04:30 PM
  Ultrasound-modulated optical imaging of biological tissue
David Dobson
Nov 09, 2001
Friday
09:00 AM - 10:30 AM
  Electrical impedance imaging
David Isaacson
10:30 AM - 11:35 AM
  Unique continuation problems for parabolic equations
Daniel Tataru (University of California, Berkeley)
11:35 AM - 02:00 PM
  Deterministic mathematical analysis of the time reversal mirror
Claude Bardos
02:00 PM - 03:00 PM
  Global uniqueness in the inverse scattering problem for the Schrödinger with external Yang-Mills potentials
Gregory Eskin
Nov 12, 2001
Monday
09:30 AM - 11:00 AM
  TBA
Adrian Nachman (University of Toronto)
11:00 AM - 02:00 PM
  Recent studies of an inverse medium problem
Gang Bao
02:00 PM - 03:30 PM
  TBA
Frank Natterer
03:30 PM - 04:00 PM
  Convexification of multi-extremal cost functionals for inverse problems via Carleman weight functions (joint with A. Timonov)
Michael Klibanov
04:00 PM - 04:30 PM
  Reconstruction of a current distribution from its magnetic field
Roland Potthast
04:30 PM - 05:30 PM
  L2 estimates for a scattering transform in two dimensions
Russell Brown (University of Kentucky)
Nov 13, 2001
Tuesday
09:30 AM - 11:00 AM
  Reconstruction methods in optical tomography
Simon Arridge
11:00 AM - 02:00 PM
  Near-field optical tomography
John Schotland
02:00 PM - 03:30 PM
  Application of photon migration to sub-millimeter length scales and highly absorbing tissues
Vasan Venugopalan
03:30 PM - 04:00 PM
  An nonlinear inverse problem for a Markov chain: Recovering the one step transition probability matrix from boundary measurements
F. Alberto Grünbaum (University of California, Berkeley)
04:00 PM - 05:00 PM
  F. John’s ultrahyperbolic equation and 3D computed tomography
Sarah Patch
Nov 14, 2001
Wednesday
09:30 AM - 11:00 AM
  TBA
Joyce McLaughlin
11:00 AM - 02:00 PM
  Curvelets and linear inverse problems
Emmanuel Candes (Stanford University)
02:00 PM - 03:30 PM
  Intertwining operators, nonlinear Radon transforms and inverse backscattering
Anders Melin
03:30 PM - 04:30 PM
  Three dimensional reconstruction of two dimensional crystals
Gabor Herman
Nov 15, 2001
Thursday
09:00 AM - 10:30 AM
  TBA
Mathias Fink
10:30 AM - 11:30 AM
  Imaging and time reversal in random media
George Papanicolaou (Stanford University)
11:30 AM - 01:30 PM
  Scaling relations with time reversed refocusing
Knut Solna
01:30 PM - 02:00 PM
  Inverse scattering for elastic targets in a shallow water channel
Lawrence Carin (Duke University)
02:00 PM - 02:30 PM
  TBA
Josselin Garnier
02:30 PM - 03:30 PM
  TBA
Chrysoula Tsogka (University of Crete)
03:30 PM - 04:00 PM
  Imaging in random media
Liliana Borcea (Rice University)
04:00 PM - 04:30 PM
  Time reversal and the adjoint method
Oliver Dorn
04:30 PM - 05:00 PM
  Spectrum of the time reversal operator
David Chambers
05:00 PM - 05:30 PM
  Some recent results in time reversal and imaging in random media.
Peter Blomgren
Nov 16, 2001
Friday
09:00 AM - 10:30 AM
  TBA
Mathias Fink
10:30 AM - 11:40 AM
  Ultrasound stimulated vibro-acoustography
James Greenleaf
11:40 AM - 02:00 PM
  Application of time-reversal methods to ocean acoustics
William Kuperman
02:00 PM - 02:30 PM
  Time-reversal acoustics for multiple targets
James Berryman
02:30 PM - 03:00 PM
  Can we hear the size of the target?
Hong-Kai Zhao (University of California, Irvine)
03:00 PM - 04:00 PM
  TBA
Andres Larraza
04:00 PM - 04:30 PM
  Radiative transport limit for the random Schrödinger equation
Leonid Ryzhik
04:30 PM - 05:00 PM
  Time reversal for classical waves in random media and the abstract
Guillaume Bal (University of Chicago)
05:00 PM - 06:00 PM
  Separation of scales asymptotics for waves in random media
Jean-Pierre Fouque