Inverse Problems: Basics, Theory and Applications in Geophysics

Inverse Problems: Basics, Theory and Applications in Geophysics
ISBN-10
3319483838
ISBN-13
9783319483832
Series
Inverse Problems
Category
Mathematics
Pages
222
Language
English
Published
2016-12-30
Publisher
Birkhäuser
Author
Mathias Richter

Description

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 vectors is needed. Function spaces are introduced informally in the course of the text, when needed. Additionally, a more detailed, but still condensed introduction is given in Appendix B. A second goal is to elaborate the single steps to be taken when solving an inverse problem: discretization, regularization and practical solution of the regularized optimization problem. These steps are shown in detail for model problems from the fields of inverse gravimetry and seismic tomography. The intended audience is mathematicians, physicists and engineers having a good working knowledge of linear algebra and analysis at the upper undergraduate level.

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