Inverse Problems and Related Topics

Gen Nakamura Common Chairs, Gunma University. Saburou Saitoh Department of Mathematics, Faculty of Engineering, Gunma University, Kiryu 376-8515, Japan. Jin Keun Seo Department of Mathematics, Yonsei University, Seoul 120-749, Korea. Masahiro Yamamoto Department of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba Meguro 153 Tokyo Japan.

• Preface, 1. A finite difference model for Calderon’s boundary inverse problem, 2. Inverse problems for equations with memory, 3. Parameter estimation of elastic media, 4. The probe method and its applications, 5. Recent progress in the inverse conductivity problem with single measurement, 6. A moment method on inverse problems for the heat equation, 7. Some remarks on free boundaries of recirculating Euler flows with constant vorticity, 8. Algorithms for the identification of spatially varying/invariant stiffness and dampings in flexible beams, 9. Numerical solutions of the Cauchy problem in potential and elastostatics, 10. Inverse source problems in the Helmholtz equation, 11. A numerical method for a magnetostatic inverse problem using the edge element, 12. Impedance computed tomo-electrocardiography, 13. An inverse problem for free channel scattering, 14. Surface impedance tensor and boundary value problem, 15. Asymptotics for the spectral and Weyl functions of the operator-valued Sturm-Liouville problem, 16. Exact controllability method and multidimensional linear inverse problems

"The aim of this book is to fill the gap between high-school mathematics and mathematics taught at university…the reader is shown what it means to prove something rigourously…This book is easy to read for anyone with a high-school mathematics background."- European Mathematical Society Newsletter