Inverse Problems for Partial Differential Equations

Author:   Victor Isakov
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 2nd ed. 2006
Volume:   127
ISBN:  

9781441920546


Pages:   346
Publication Date:   29 November 2010
Replaced By:   9783319516578
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

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Inverse Problems for Partial Differential Equations


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Overview

A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurement. By presenting the data in a readable and informative manner, the book introduces both scientific and engineering researchers as well as graduate students to the significant work done in this area in recent years, relating it to broader themes in mathematical analysis.

Full Product Details

Author:   Victor Isakov
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 2nd ed. 2006
Volume:   127
Dimensions:   Width: 15.60cm , Height: 1.90cm , Length: 23.40cm
Weight:   0.551kg
ISBN:  

9781441920546


ISBN 10:   1441920544
Pages:   346
Publication Date:   29 November 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Replaced By:   9783319516578
Format:   Paperback
Publisher's Status:   Out of Print
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

Inverse Problems.- Ill-Posed Problems and Regularization.- Uniqueness and Stability in the Cauchy Problem.- Elliptic Equations: Single Boundary Measurements.- Elliptic Equations: Many Boundary Measurements.- Scattering Problems.- Integral Geometry and Tomography.- Hyperbolic Problems.- Inverse parabolic problems.- Some Numerical Methods.

Reviews

"From the reviews of the second edition: ""The first edition of this excellent book appeared in 1998 and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. ... The second edition is considerably expanded and reflects important recent developments in the field ... . Some of the research problems from the first edition have been solved ... ."" (Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006)"


From the reviews of the second edition: The first edition of this excellent book appeared in 1998 and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. ! The second edition is considerably expanded and reflects important recent developments in the field ! . Some of the research problems from the first edition have been solved ! . (Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006)


From the reviews of the second edition: ""The first edition of this excellent book appeared in 1998 and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. ... The second edition is considerably expanded and reflects important recent developments in the field ... . Some of the research problems from the first edition have been solved ... ."" (Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006)


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