Inverse Problems and Related Topics / Edition 1

by Gen Nakamura, Saburou Saitoh, Jin Kean Seo

Overview

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.

Product Details

ISBN-13:	9781138404083
Publisher:	CRC Press
Publication date:	06/07/2019
Series:	Chapman & Hall/CRC Research Notes in Mathematics Series , #419
Pages:	244
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

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.

Table of 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

Editorial Reviews

"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

From the Publisher

The proceedings of the Japan-Korea joint scientific seminar of the same name held at the Kobe Institute, Japan, during February 1998. The papers consist of ten works on theoretical aspects of inverse problems and six on numerical simulation. Applications addressed include magnetostatics, free channel scattering, memory reconstruction, and tomo- electrocardiography. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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