Inverse Problems

Basics, Theory and Applications in Geophysics

  • Mathias Richter

Table of contents

  1. Front Matter
    Pages i-xii
  2. Mathias Richter
    Pages 1-28
  3. Mathias Richter
    Pages 29-75
  4. Mathias Richter
    Pages 77-155
  5. Mathias Richter
    Pages 157-193
  6. Back Matter
    Pages 195-240

About this book

Introduction

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.

Keywords

inverse problems Ill-posed problems regularization geomathematics seismic tomography inverse gravimetry nonlinear least squares problems

Authors and affiliations

  • Mathias Richter
    • 1
  1. 1.Fakultät für Elektrotechnik und InformationstechnikUniversität der Bundeswehr MünchenNeubibergGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-48384-9
  • Copyright Information Springer International Publishing AG 2016
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-48383-2
  • Online ISBN 978-3-319-48384-9
  • About this book
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