Inverse Problems

Basics, Theory and Applications in Geophysics

(Autor)

Buch | Softcover
XII, 240 Seiten
2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-48383-2 (ISBN)

Lese- und Medienproben

Inverse Problems - Mathias Richter
64,19 inkl. MwSt
zur Neuauflage
  • Titel erscheint in neuer Auflage
  • Artikel merken
Zu diesem Artikel existiert eine Nachauflage
lt;p>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.

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.

Erscheinungsdatum
Reihe/Serie Lecture Notes in Geosystems Mathematics and Computing
Zusatzinfo XII, 240 p. 52 illus., 32 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Naturwissenschaften Geowissenschaften Geophysik
Naturwissenschaften Physik / Astronomie
Schlagworte geomathematics • Geophysics • Geophysics/Geodesy • ill-posed problems • inverse gravimetry • Inverse Problems • Mathematical Physics • Mathematics • mathematics and statistics • nonlinear least squares problems • Numerical analysis • Numerical and Computational Physics, Simulation • Regularization • Seismic tomography
ISBN-10 3-319-48383-8 / 3319483838
ISBN-13 978-3-319-48383-2 / 9783319483832
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich

von Tilo Arens; Frank Hettlich; Christian Karpfinger …

Buch | Hardcover (2022)
Springer Spektrum (Verlag)
79,99