## February 3 – 5, 2020

Texas A&M University

Blocker Building, Room 220

**Workshop Registration Closed**

Note: Workshop Registration does not register you for the Poster Session

If you would like to present a POSTER, please register by emailing

Carrie Relles (carrie@stat.tamu.edu) with the following information:

- First name
- Last Name
- Affiliation
- Email Address

**Many objects of physical interest cannot be studied directly.Examples include, imaging the interior of the body, determining material parameters such as the conductivity of inaccessible objects and indeed of fundamental terms in the mathematical description of physical models. **

**When these problems are translated into mathematical terms they take the form of partial differential equations, the Lingua Franca of the mathematical sciences. However, since we have additional unknowns in the model, these introduce unknown parameters in the equations that have to be additionally resolved by means of further measurements. These “inverse problems” are critical to much of science and technology. We are interested in when a unique determination can be made as well as designing and analyzing algorithms for the efficient numerical recovery of the unknowns. **

**This workshop will bring together experts covering all of the above aspects and problems based on a wide range of application areas will be represented. **

**Workshop Organizers: **

**William Rundell,** *Professor, Department of Mathematics, Texas A&M University***Barbara Kaltenbacher **, *Professor of Applied Analysis, University of Klagenfurt*,* Institute of Mathematics***Talk Title:** “Coefficient identification in nonlinear reaction-diffusion systems”

**Invited Speakers:**

**Tuncay Aktosun**, *Professor, Department of Mathematics, University of Texas at Arlington***Talk Title:** “The characterization of the scattering data for the half line matrix SchrÃ¶dinger operator”**Fioralba Cakoni**, *Professor, Department of Mathematics, Rutgers University***Talk Title: **“Imaging Local Perturbations in Periodic Layered Media” **Christian Clason**, *Professor, Department of Mathematics, AG Inverse Problems, University of Duisburg-Essen***Talk Title: ** ” Multibang Regularization of a Coefficient Inverse Problem for the Wave Equation”**David Colton,** *Professor, Department of Mathematical Sciences, University of Delaware***Talk Title:** “Eigenvalue Problems in Inverse Electromagnetic Scattering Theory”**Yalchin Efendiev**, *Ewing-Mobil Chair in Computational Science, Professor of Mathematics, Director of Institute for Scientific Computation (ISC), Department of Mathematics, Texas A&M University***Talk Title:** “Multiscale Inversion for heterogeneous PDEs”**Diane Guignard**, *Visiting Assistant Professor, Department of Mathematics, Texas A&M University***Talk Title: **“Reduced Basis Approximations of the Solutions to Spectral Fractional Diffusion Problems”**Raytcho Lazarov**, *Professor, Department of Mathematics, Texas A&M University***Talk Title: **“The rational approximation for inverting fractional powers of elliptic operators”**Peijun Li**, *Professor, Department of Mathematics, Purdue University***Talk Title: **“Inverse source scattering problems”**Alexander Mamonov**,* Professor, Department of Mathematics, University of Houston***Talk Title:** “Reduced order models for quantitative imaging with diffusive fields and waves”**Shari Moskow**, *Department Head and Professor, Department of Mathematics, Drexel University ***Talk Title:** “Reduced order models for spectral domain inversion: Embedding into the continuous problem and generation of internal data.”

**John Schotland**, *Director of Michigan Center for Applied and Interdisciplinary Mathematics,* *Professor of Physics and Mathematics, Department of Mathematics, University of Michigan***Talk Title: ** “Super-resolution and Inverse Problems with Internal Sources” **Fatma Terzioglu**, *William H. Kruskal Instructor, Department of Statistics, University of Chicago***Talk Title: **“Uniqueness Criteria in Multi-Energy CT”

**Schedule:**

**Monday, February 3, 2020 (Blocker 220)**

8:30 – 9:30: Breakfast/Registration

9:30 – 10:15: **David Colton, University of Delaware***Eigenvalue Problems in Inverse Electromagnetic Scattering Theory*

10:15 – 11:00: **Fioralba Cakoni**, **Rutgers University***Imaging Local Perturbations in Periodic Layered Media*

11:00 – 11:30: Break

11:30 – 12:15: **Tuncay Aktosun**,** University of Texas at Arlington***The characterization of the scattering data for the half line matrix SchrÃ¶dinger operator *

12:15 – 2:00: LUNCH

2:00 – 3:00: Poster Session

3:00 – 3:45: **Peijun Li**, **Purdue University***Inverse source scattering problems*

3:45 – 4:15: Break

4:15 – 5:00: **John Schotland**, **University of Michigan**

*Super-resolution and Inverse Problems with Internal Sources*

** Tuesday, February 4, 2020 (Blocker 220****)**

8:00 – 9:00: Breakfast/Registration

9:00 – 9:45: **Fatma Terzioglu**, **University of Chicago***Uniqueness Criteria in Multi-Energy CT*

9:45 – 10:15: Break

10:15 – 11:00: **Christian Clason**,* ***University of Duisburg-Essen***Multibang Regularization of a Coefficient Inverse Problem for the Wave Equation*

11:00 – 11:45: **Yalchin Efendiev**, **Texas A&M University***Multiscale Inversion for heterogeneous PDEs*

11:45 – 2:00: Lunch

2:00 – 2:45: **Raytcho Lazarov**, **Texas A&M University***The rational approximation for inverting fractional powers of elliptic operators*

2:45 – 3:15: Break

3:15 – 4:00: **Barbara Kaltenbacher**, **University of Klagenfurt***Coefficient identification in nonlinear reaction-diffusion systems*

6:00 pm: Dinner (Invitation Only)

** Wednesday, February 5, 2020 (Blocker 220)**

8:00 – 9:00: Breakfast/Registration

9:00 – 9:45: **Shari Moskow**, **Drexel University ***Reduced order models for spectral domain inversion: Embedding into the continuous problem and generation of internal data*

9:45 – 10:15: Break

10:15 – 11:00: **Alexander Mamonov**, **University of Houston***Reduced order models for quantitative imaging with diffusive fields and waves*

11:00 – 11:45: **Diane Guignard**,**Texas A&M University***Reduced basis approximations of the solutions to spectral fractional diffusion problems *