In the last twenty years, the field of inverse problems has undergone rapid development: The enormous increase in computing power and the development of powerful numerical methods made it possible to simulate real-world “direct” problems of growing complexity. Since in many applications in science and engineering, the “inverse question” of determining causes for desired or observed effects is really the final question, this led to a growing appetite in applications for posing and solving inverse problems, which in turn stimulated mathematical research e.g., on uniqueness questions and on developing stable and efficient numerical methods (regularization methods) for solving inverse problems. This began mainly for linear problems, but more recently it has also been done for nonlinear problems.
This long program will focus on new challenges that have appeared recently in the field of inverse problems, including new application fields in imaging science, the life sciences, the physical sciences and industry. It will also address methodological challenges when solving complex inverse problems, and the application of the “level set method” to inverse problems.
The program intends to bring together scientists and engineers with applied and pure mathematicians interested in inverse problems.
(Univ of Genova, Italy, Information Sciences)
Tony Chan (UCLA, Mathematics)
David Donoho (Stanford University, Statistics)
Heinz Engl, Chair (Johannes Kepler University, Austria, Industrial Math.)
Alfred Louis (Saarland University, Mathematics)
Joyce McLaughlin (Rensselaer Polytechnic Institute, Mathematical Science)
Eric Michielssen (University of Illinois at Urbana-Champaign)
Edward Pike (King's College, London, Physics)
Lothar Reichel (Kent State University)
Gunther Uhlmann (University of Washington, Mathematics)