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Inverse Problems: Basics, Theory and Applications in Geophysics
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Catalogue Information
Field name
Details
Dewey Class
518
Title
Inverse Problems ([EBook]) : Basics, Theory and Applications in Geophysics / / by Mathias Richter.
Author
Richter, Mathias
Other name(s)
SpringerLink (Online service)
Publication
Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2016.
Physical Details
XII, 240 p. 52 illus., 32 illus. in color. : online resource.
Series
Lecture Notes in Geosystems Mathematics and Computing
ISBN
9783319483849
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-48384-9
Links to Related Works
Subject References:
Geophysics
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Geophysics/Geodesy
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Mathematics
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Numerical Analysis
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Numerical and Computational Physics, Simulation
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Authors:
Richter, Mathias
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Geosystems Mathematics and Computing
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Classification:
518
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