Inverse Problems

Mathematical and Analytical Techniques with Applications to Engineering

Alexander G. Ramm (Autor)

Buch | Softcover

442 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2005
Springer-Verlag New York Inc.
978-1-4419-3585-4 (ISBN)

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Inverse Problems is a monograph which contains a self-contained presentation of the theory of several major inverse problems and the closely related results from the theory of ill-posed problems. The book is aimed at a large audience which include graduate students and researchers in mathematical, physical, and engineering sciences and in the area of numerical analysis.

Methods of Solving Ill-Posed Problems.- One-Dimensional Inverse Scattering and Spectral Problems.- Inverse Obstacle Scattering.- Stability of the Solutions to 3D Inverse Scattering Problems with Fixed-Energy Data.- Non-Uniqueness and Uniqueness Results.- Inverse Problems of Potential Theory and Other Inverse Source Problems.- Non-Overdetermined Inverse Problems.- Low-Frequency Inversion.- Wave Scattering by Small Bodies of Arbitrary Shapes.- The Pompeiu Problem.

From the reviews of the first edition:"The author’s attention is addressed … to inverse problems for scattering theory … . the reviewer emphasizes the author’s effort of simplifying both the results in the mathematical literature and his own ones as well as the effort of unifying the theory of the inverse problems illustrated. Moreover, the proofs of the various propositions are almost always inserted in the book so that we can say the volume is friendly to readers … . Finally, the proofs are well written … ." (Alfredo Lorenzi, Zentralblatt MATH, Vol. 1083, 2006)“This book is devoted to the investigation of inverse problems for PDEs, in particular, to the theory of inverse spectral problems and inverse scattering problems. … Graduate students and researchers will find in this work extensive reference material including a collection of relevant classical results as well as several new developments in the area of inverse and ill-posed problems.” (Antonio C. G. Leitão, Mathematical Reviews, Issue 2012 k)

Erscheint lt. Verlag	19.11.2010
Reihe/Serie	Mathematical and Analytical Techniques with Applications to Engineering
Zusatzinfo	XX, 442 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Grafik / Design ► Digitale Bildverarbeitung
	Informatik ► Weitere Themen ► CAD-Programme
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie
	Technik
ISBN-10	1-4419-3585-1 / 1441935851
ISBN-13	978-1-4419-3585-4 / 9781441935854
Zustand	Neuware