Inverse Problems and Related Topics

by Gen Nakamura (Editor), Saburou Saitoh (Editor), Jin Kean Seo (Editor)

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 compi

Product Details

ISBN-13:	9780429530326
Publisher:	CRC Press
Publication date:	05/08/2019
Series:	Chapman & Hall/CRC Research Notes in Mathematics Series
Sold by:	Barnes & Noble
Format:	eBook
Pages:	244
File size:	22 MB
Note:	This product may take a few minutes to download.

About the Author

G Nakamura, S Saitoh, J K Seo and M Yamamoto

Table of Contents

A Finite Difference Model for Calderon'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

Editorial Reviews

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)

Booknews

"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