Inverse problems : basics, theory and applications in geophysics / Mathias Richter.
Richter, Mathias, author.
2016
QA371
Available Online

Linked e-resources

Linked Resource Online Access
Concurrent users Unlimited
Authorized users Authorized users
Document Delivery Supplied Can lend chapters, not whole ebooks

Details

Title Inverse problems : basics, theory and applications in geophysics / Mathias Richter.
Author Richter, Mathias, author.
ISBN 9783319483849 (electronic book)
3319483846 (electronic book)
9783319483832
DOI https://doi.org/10.1007/978-3-319-48384-9
Published Cham, Switzerland : Birkhäuser, 2016.
Language English
Description 1 online resource (xii, 240 pages) : illustrations.
Item Number 10.1007/978-3-319-48384-9 doi
Call Number QA371
Dewey Decimal Classification 515/.357
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed December 19, 2016).
Series Lecture notes in geosystems mathematics and computing.
Available in Other Form Print version: 9783319483832
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
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.

Browse Subjects

Show more subjects...

Statistics

from
to
Export