Inverse Problems Basics, Theory and Applications in Geophysics /

• Main Author: Richter, Mathias (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Series: Lecture Notes in Geosystems Mathematics and Computing
• Subjects: Mathematics.; Geophysics.; Numerical analysis.; Numerical Analysis.; Numerical and Computational Physics, Simulation.; Geophysics/Geodesy.

The overall goal of the book is to provide access to the regularized solution of inverse problems relevant in geophysics without requiring more mathematical knowledge than is taught in undergraduate math courses for scientists and engineers. From abstract analysis only the concept of functions as ve...

Table of Contents:

• 1.Characterization of Inverse Problems
• 2.Discretization of Inverse Problems
• 3.Regularization of Linear Inverse Problems
• 4.Regularization of Nonlinear Inverse Problems
• Appendix: A.Results from Linear Algebra
• B.Function Spaces
• C.The Fourier Transform
• D.Proofs of Theorems from Chapter 3.