Tuesday, July 23
A physical process is often modeled by a differential equation and the coefficients therein represent important physical quantities. The coefficients may not be known and direct measurement of them may be either impossible or impractical. An inverse problem involves an indirect determination of the coefficients. Such problems arise in many areas of science.
Regardless of the application, there are fundamental aspects that inverse problems share. These include for example questions concerning unique recovery, stability, numerical reconstruction and the sensitivity of the reconstruction to noisy data. The speakers in this minisymposium will discuss some of these common aspects.
Case Examples in Inverse Problems
Organizer: Bruce D. Lowe
Texas A&M University
- 8:30 Title to be determined
- William Rundell, Texas A&M University
- 9:00 Coefficient Recovery for a Singular Inverse Problem
- Jennifer L. Mueller and Thomas S. Shores, University of Nebraska
- 9:30 On the Reconstruction of Dissipative Continua from Spectral Data
- Steven Cox, Rice University; and Roger Knobel, University of Texas-Pan American
- 10:00 Imaging Corrosion Damage in Plates from Electrostatic Data
- Peter G. Kaup, Texas A&M University; and Fadil Santosa, University of Minnesota