Workshop On Fractional Differential Equations: Inverse Problems, Modeling and Numerical Analysis.
| Date: | February 6-10, 2014 | |
| Location: | Texas A&M University, | |
| College Station, Texas | ||
| Organizers: | Meriem Laleg | (KAUST) |
| Raytcho Lazarov | (Texas A&M) | |
| Bill Rundell | (Texas A&M) |
This four day workshop will concentrate on the mathematical aspects of fractional order partial differential equations and will have three focus areas:
- Modeling. Anomolous diffusion in both space and time variables; applications; what we can assume and what needs to be determined. Specific applications will include waves in porous media, viscoelasticity, financial models, regularization methods for imaging.
- Numerical analysis. Going beyond finite differences; overcoming the “curse of non-locality”; developing fast solvers with proven error bounds; multi-dimensional finite element methods.
- Inverse problems. Some of the very basic inverse problems for fractional order equations have very different outcomes in regards to uniqueness and ill-posedness from their classical counterparts leading to very different physics for the model. We want to explore and understand these ideas further.
We plan 25 to 30 participants and seek an “Oberwolfach style” with a relatively low density of talks. We anticipate ten 45 minute lectures and several shorter presentations, but expect that some talks will be added as a consequence of workshop discussions.
Funding for this workshop is through the Texas A&M Institute for Applied Mathematics and Computational Science in co-operation with the King Abdullah University of Science and Technology.