Inverse Problems

Mathematical and Analytical Techniques with Applications to Engineering
1. Auflage. Softcover version of original hardcover Auflage 2005
ISBN: 978-1-4419-3585-4
Verlag: Springer US

Buch, Englisch, 442 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 698 g

Reihe: Mathematical and Analytical Techniques with Applications to Engineering

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.

Zielgruppe

Research

Autoren/Hrsg.

Ramm, Alexander G.

Fachgebiete

• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Technische Wissenschaften Bauingenieurwesen Mathematische Methoden, Computeranwendungen (Bauingenieurwesen)
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

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.