The Resource An Introduction to the Mathematical Theory of Inverse Problems, by Andreas Kirsch, (electronic resource)

An Introduction to the Mathematical Theory of Inverse Problems, by Andreas Kirsch, (electronic resource)

Label
An Introduction to the Mathematical Theory of Inverse Problems
Title
An Introduction to the Mathematical Theory of Inverse Problems
Statement of responsibility
by Andreas Kirsch
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
Is Subseries of
http://library.link/vocab/creatorName
Kirsch, Andreas
Dewey number
  • 515.357
  • 515/.357
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
E0faDSoUV9o
Language note
English
LC call number
QA370-380
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Applied Mathematical Sciences,
Series volume
120
http://library.link/vocab/subjectName
  • Differential equations, partial
  • Differential Equations
  • Engineering mathematics
  • Partial Differential Equations
  • Ordinary Differential Equations
  • Mathematical and Computational Engineering
Label
An Introduction to the Mathematical Theory of Inverse Problems, by Andreas Kirsch, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 305-307) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (313 p.)
Form of item
online
Isbn
9781441984746
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4419-8474-6
Specific material designation
remote
System control number
  • (CKB)2670000000076194
  • (EBL)973232
  • (OCoLC)771414437
  • (SSID)ssj0000508449
  • (PQKBManifestationID)11346824
  • (PQKBTitleCode)TC0000508449
  • (PQKBWorkID)10555076
  • (PQKB)10717158
  • (DE-He213)978-1-4419-8474-6
  • (MiAaPQ)EBC973232
  • (EXLCZ)992670000000076194
Label
An Introduction to the Mathematical Theory of Inverse Problems, by Andreas Kirsch, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 305-307) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (313 p.)
Form of item
online
Isbn
9781441984746
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4419-8474-6
Specific material designation
remote
System control number
  • (CKB)2670000000076194
  • (EBL)973232
  • (OCoLC)771414437
  • (SSID)ssj0000508449
  • (PQKBManifestationID)11346824
  • (PQKBTitleCode)TC0000508449
  • (PQKBWorkID)10555076
  • (PQKB)10717158
  • (DE-He213)978-1-4419-8474-6
  • (MiAaPQ)EBC973232
  • (EXLCZ)992670000000076194

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