New Analytic and Geometric Methods in Inverse Problems
Lectures given at the EMS Summer School and Conference held in Edinburgh, Scotland 2000
Published on 5. November 2003
Book
Hardback
XVI, 381 pages
978-3-540-40682-2 (ISBN)
Description
In inverse problems, the aim is to obtain, via a mathematical model, information on quantities that are not directly observable but rather depend on other observable quantities. Inverse problems are encountered in such diverse areas of application as medical imaging, remote sensing, material testing, geosciences and financing. It has become evident that new ideas coming from differential geometry and modern analysis are needed to tackle even some of the most classical inverse problems. This book contains a collection of presentations, written by leading specialists, aiming to give the reader up-to-date tools for understanding the current developments in the field.
More details
Edition
2004 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
College/higher education
Research
Illustrations
XVI, 381 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 26 mm
Weight
764 gr
ISBN-13
978-3-540-40682-2 (9783540406822)
DOI
10.1007/978-3-662-08966-8
Schweitzer Classification
Other editions
Additional editions
Kenrick Bingham | Yaroslav V. Kurylev | E. Somersalo
New Analytic and Geometric Methods in Inverse Problems
Lectures given at the EMS Summer School and Conference held in Edinburgh, Scotland 2000
Book
11/2010
Springer
€106.99
Shipment within 7-9 days
Content
I. EMS Summer School: New Analytic and Geometric Methods in Inverse Problems.- Metric Geometry.- Intertwining Operators in Inverse Scattering.- Carleman Type Estimates and Their Applications.- Gaussian Beams and Inverse Boundary Spectral Problems.- Analytic Methods for Inverse Scattering Theory.- Ray Transform on Riemannian Manifolds.- On the Local Dirichlet-to-Neumann Map.- II. EMS Conference: Recent Developments in the Wave Field and Diffuse Tomographic Inverse Problems.- Remarks on the Inverse Scattering Problem for Acoustic Waves.- Asymptotic Properties of Solutions to 3-particle Schrödinger Equations.- Stability and Reconstruction in Gel'fand Inverse Boundary Spectral Problem.- Uniqueness in Inverse Obstacle Scattering.- Geometric Methods for Anisotopic Inverse Boundary Value Problems.- Applications of the Oscillating-Decaying Solutions to Inverse Problems.- Time-Dependent Methods in Inverse Scattering Theory.