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Inverse Problems and Related Topics: Chapman & Hall/CRC Research Notes in Mathematics Series

Editat de Gen Nakamura, Saburou Saitoh, Jin Kean Seo
en Limba Engleză Paperback – 28 feb 2000
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.
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Specificații

ISBN-13: 9781584881919
ISBN-10: 1584881917
Pagini: 248
Ilustrații: 4 tables, 8 halftones and 464 equations
Dimensiuni: 156 x 234 x 14 mm
Greutate: 0.36 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Chapman & Hall/CRC Research Notes in Mathematics Series


Public țintă

Professional

Cuprins

A Finite Difference Model for Calderón's Boundary Inverse Problem. Inverse Problems for Equations with Memory. Parameter Estimation of Elastic Media. The Probe Method and its Applications. Recent Progress in the Inverse Conductivity Problem with Single Measurement. A Moment Method on Inverse Problems for the Heat Equation. Some Remarks on Free Boundaries of Recirculation Euler Flows with Constant Vorticity. Algorithms for the Identification of Spatially Varying/Invariant Stiffness and Dampings in Flexible Beams. Numerical Solutions of the Cauchy Problem in Potential and Elastostatics. Inverse Source Problems in the Helmholtz Equations. A Numerical Method for a Magnetostatic Inverse Problem using the Edge Element. Exact Controllability Method and Multidimensional Linear Inverse Problems. Impedance Computed Tomo-Electrocardiography. An Inverse Problem for Free Channel Scattering. Surface Impedance Tensor and Boundary Value Problem. Aysmptotics for the Spectral and Weyl Functions of the Operator-Value Sturm-Liouville Problem. Exact Controllability Method and Multidimensional Linear Inverse Problems

Recenzii

"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

Notă biografică

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.

Descriere

Inverse problems arise in many disciplines and are vital to a range of applications. This volume compiles papers authored by some of the top researchers in Korea and Japan. It includes ten works on theoretical aspects of inverse problems and six on numerical simulation. Applications addressed include magnetostatics, memory reconstruction, and tomo-electrocardiography. The contributors present a number of inventive and useful results and offer a unique opportunity to explore the trends of research in Japan and Korea. It also serves as an introduction and guide to those seeking future scientific exchange with researchers in Japan and Korea.