The factorization method for inverse problems 1st Edition by Andreas Kirsch, Natalia Grinberg ISBN 0199213535 978-0199213535

The factorization method for inverse problems 1st Edition by Andreas Kirsch, Natalia Grinberg  – Ebook PDF Instant Download/Delivery: 0199213535, 978-0199213535 
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Product details: 

ISBN 10: 0199213535 

ISBN 13: 978-0199213535

Author: Andreas Kirsch, Natalia Grinberg

The factorization method is a relatively new method for solving certain types of inverse scattering problems in tomography. Aimed at students and researchers in Applied Mathematics, Physics, and Engineering, this text introduces the reader to this promising approach for solving important classes of inverse problems. The wide applicability of this method is discussed by choosing typical examples, such as inverse scattering problems for the scalar Helmholtz equation, a scattering problem for Maxwell’s equation, and a problem in impedance and optical tomography. The last section of the book compares the Factorization Method to established sampling methods (the Linear Sampling Method, the Singular Method, and the Probe Method)

Table of contents: 

Chapter 1. The Simplest Cases: Dirichlet and Neumann Boundary Conditions
Chapter 2. The Factorization Method for Other Types of Inverse Obstacle Scattering Problems
Chapter 3. The Mixed Boundary Value Problem
Chapter 4. The MUSIC Algorithm and Scattering by an Inhomogeneous Method
Chapter 5. The Factorization method for Maxwell’s Equations
Chapter 6. The Factorization Method in Impedance Tomography
Chapter 7. Alternative Sampling and Probe Methods

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Andreas Kirsch,Natalia Grinberg,The factorization method,inverse problems