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Full Description
Inverse problems arise in many disciplines and hold great importance to practical applications. However, sound new methods are needed to solve these problems. Over the past few years, Japanese and Korean mathematicians have obtained a number of very interesting and unique results in inverse problems.
Inverse Problems and Related Topics compiles papers authored by some of the top researchers in Korea and Japan. It presents a number of original and useful results and offers a unique opportunity to explore the current trends of research in inverse problems in these countries. Highlighting the existence and active work of several Japanese and Korean groups, it also serves as a guide to those seeking future scientific exchange with researchers in these countries.
Contents
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
