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Inverse Problems: Computational Methods and Emerging Applications

Inverse Problems: Computational Methods and Emerging Applications Tutorials

September 9 - 12, 2003

Schedule and Presentations

Pictures

During this week a series of tutorials will be held both on methodological and on applications issues of inverse problems. These should also set the stage for research collaborations between mathematicians and applications scientists that should go on throughout the semester, and should prepare the participants for the subsequent events. Topics to be included are:
  • methodology:
    • regularization methods for inverse problems
    • inverse spectral problems
    • statistical and wavelet methods for inverse problems
    • level set methods
  • application fields
    • inverse problems in the physical sciences, grouped according to different application fields
    • inverse problems in imaging science
    • inverse problems in biology
    • inverse scattering and tomography

Related Papers

Martin Burger, A framework for the construction of level set methods for shape optimization and reconstruction, March 2003 (revised).

Heinz W. Engl, Inverse Problems I, 2003.

Heinz W. Engl, Inverse Problems II, 2003.

Heinz W. Engl, Inverse Problems III, 2003.

Heinz W. Engl and Philipp Kügler, Nonlinear Inverse Problems: Theoretical Aspects and Some Industrial Applications

Lin Ji, Joyce R. McLaughlin, Daniel Renzi, and Jeong-Rock Yoon, Interior Elastodynamics Inverse Problems: Shear Wave Speed Reconstruction in Transient Elastography

Joyce R McLaughlin and Jeong-Rock Yoon, Unique identifiability of elastic parameters from time dependent interior displacement measurement

Lin Ji and Joyce McLaughlin, Recovery of the Lamè parameter µ in biological tissues

Gunther Uhlmann, The Dirichlet to Neumann map and Inverse Problems

Alexander Bukhgeim and Gunther Uhlmann, Recovering a Potential from Partial Cauchy Data

Liliana Borcea, George Papanicolaou and Chrysoula Tsogka, Estimation of the refocusing resolution for time reversal in scattering media, submitted to Inverse Problems 2003.

George Papanicolaou, Leonid Ryzhik and Knut Solna, Statistical stability in time reversal, to appear in the SIAM J. on Appl. Math. 2003.

Contact Us:

Institute for Pure and Applied Mathematics (IPAM)
Attn: INVTUT
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Email: ipam@ucla.edu
Website: http://www.ipam.ucla.edu/programs/invtut/


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