Inverse Problems for Partial Differential Equations

£119.50

Inverse Problems for Partial Differential Equations

Differential calculus and equations Numerical analysis Mathematical physics Geographical information systems, geodata and remote sensing

Author: Victor Isakov

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Collection: Applied Mathematical Sciences

Language: English

Published by: Springer

Published on: 24th February 2017

Format: LCP-protected ePub

Size: 4 Mb

ISBN: 9783319516585


Expanding the Third Edition

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 frequenciestemporal data to improve stability and numerical resolution. There are also numerous corrections and improvements of the exposition throughout.

Intended Audience

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)

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