عنوان

An introduction to the mathematical theory of inverse problems /

شابک

1441984739

شابک

1441984747

شابک

9781441984739

شابک

9781441984746

شماره

dltt

عنوان اصلي

An introduction to the mathematical theory of inverse problems /

نام عام مواد

[Book]

نام نخستين پديدآور

Andreas Kirsch

وضعيت ويراست

2nd ed

نام خاص و کميت اثر

1 online resource (xiv, 307 pages)

عنوان فروست

Applied mathematical sciences ;

مشخصه جلد

v. 120

متن يادداشت

Includes bibliographical references (pages 295-304) and index

متن يادداشت

¡Introduction and Basic Concepts -- Regularization Theory for Equations of the First Kind -- Regularization by Discretization -- Inverse Eigenvalue Problems -- ¡An Inverse Problem in Electrical Impedance Tomography -- An Inverse Scattering Problem -- References -- Index

بدون عنوان

0

متن يادداشت

This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography. ¡ The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with ill-posed problems. Basic properties of regularization methods for linear ill-posed problems are studied by means of several simple analytical and numerical examples. ¡ The second part of the book presents three special nonlinear inverse problems in detail - the inverse spectral problem, the inverse problem of electrical impedance tomography (EIT), and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters. Then some theoretical results as well as numerical procedures for the inverse problems are discussed. ¡ In this new edition, the Factorization Method is included as one of the prominent members in this monograph. Since the Factorization Method is particularly simple for the problem of EIT and this field has attracted a lot of attention during the past decade a chapter on EIT has been added in this monograph. ¡ The book is highly illustrated and contains many exercises. This together with the choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students in mathematics and engineering

منبع سفارش / آدرس اشتراک

Springer

شماره انبار

978-1-4419-8473-9

عنوان

Introduction to the mathematical theory of inverse problems.

موضوع مستند نشده

Inverse problems (Differential equations)

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Kirsch, Andreas,1953-

تاريخ عمليات

20170726082058.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y