Inverse Problems for Partial Differential Equations

Victor Isakov

ISBN 10: 3319516574 / ISBN 13: 9783319516578

Verlag: Springer International Publishing, Springer International Publishing Mär 2017, 2017

Beschreibung

Neuware -This third editionexpands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years. Asin the secondedition, the emphasisison newideas andmethodsratherthan technical improvements.Thesenew ideas include use of the stationary phase methodin the two-dimensional elliptic problemsandof multi frequenciesemporal datato improve stability andnumerical resolution. There are also numerous corrections andimprovementsof the exposition throughout.This book is intended for mathematicians working with partial differential equations and their applications, physicists, geophysicists, and financial, electrical, and mechanical engineers involved with nondestructive evaluation, seismic exploration, remote sensing, and various kinds of tomography.Review 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).

Bestandsnummer des Verkäufers 9783319516578

Bibliografische Details

• Titel: Inverse Problems for Partial Differential Equations
• Verlag: Springer International Publishing, Springer International Publishing Mär 2017
• Erscheinungsjahr: 2017
• Sprache: Englisch
• ISBN-10: 3319516574
• ISBN-13: 9783319516578
• Einband: Buch
• Auflage: 1. Auflage
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.

Von der hinteren Coverseite

This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years.  As in the second edition, the emphasis is on new ideas and methods rather than technical improvements. These new ideas include use of the stationary phase method in the two-dimensional elliptic problems and of multi frequencies\temporal data to improve stability and numerical resolution. There are also numerous corrections and improvements of the exposition throughout.

This book is intended for mathematicians working with partial differential equations and their applications, physicists, geophysicists, and financial, electrical, and mechanical engineers involved with nondestructive evaluation, seismic exploration, remote sensing, and various kinds of tomography.

Review 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)