elib
DLR-Header
DLR-Logo -> http://www.dlr.de
DLR Portal Home | Impressum | Datenschutz | Kontakt | English
Schriftgröße: [-] Text [+]

Numerical Regularization for Atmospheric Inverse Problems

Doicu, Adrian und Trautmann, Thomas und Schreier, Franz (2010) Numerical Regularization for Atmospheric Inverse Problems. Springer Praxis Books in Environmental Sciences. Springer-Verlag and Praxis Publishing. ISBN 978-3-642-05438-9.

Dieses Archiv kann nicht den Volltext zur Verfügung stellen.

Offizielle URL: http://springer.com/978-3-642-05438-9

Kurzfassung

The subject of this book is a hot topic with currently no monographic support. It is more advanced, specialized and mathematical than its competitors, and a comprehensive book on regularization techniques for atmospheric science is much needed for further development in this field. Written by brilliant mathematicians, this research monograph presents and analyzes numerical algorithms for atmospheric retrieval, pulling together all the relevant material in a consistent, very powerful manner. The first chapter presents the typical retrieval problems encountered in atmospheric remote sensing. Chapter 2 introduces the concept of ill-posedness for linear discrete equations, illustrating the difficulties associated with the solution of the problems by considering a temperature retrieval test problem and analyzing the solvability of the discrete equation by using the singular value decomposition of the corresponding matrix. A detailed description of the Tikhonov regularization for linear problems is the subject of Chapter 3, in which the authors introduce a set of mathematical and graphical tools to characterize the regularized solution. The goal of Chapter 4 is to reveal the similitude between Tikhonov regularization and statistical inversion regarding the regularized solution representation, the error analysis, and the design of parameter choice methods. The following chapter briefly surveys some classical iterative regularization methods such as the Landweber iteration and semi-iterative methods, and then treats the regularization effect of the conjugate gradient method applied to the normal equations. Having set the stage in the first part of the book, the remaining chapters dealing with nonlinear ill-posed problems. The authors introduce four test problems that are used throughout the rest of the book to illustrate the behaviour of the numerical algorithms and tools. These deal with the retrieval of ozone and BrO in the visible spectral region, and of CO and temperature in the infared spectral domain. Chapter 6 looks at the practical aspects of Tikhonov regularization for nonlinear problems, while Chapter 7 presents the relevant iterative regularization methods for nonlinear problems. The following chapter reviews the truncated and the regularized total least squares method for solving linear ill--posed problems, and include the similarity with the Tikhonov regularization. Chapter 9 brings the list of nonlinear methods to a close. It describes the Backus-Gilbert approach as a representative member of mollifier methods and finally, addresses the maximum entropy regularization. For the sake of completeness and in order to emphasize the mathematical techniques which are used in the classical regularization theory, five appendices at the end of the book present direct and iterative methods for solving linear and nonlinear ill-posed problems.

elib-URL des Eintrags:https://elib.dlr.de/65952/
Dokumentart:Lehr- oder Fachbuch
Titel:Numerical Regularization for Atmospheric Inverse Problems
Autoren:
AutorenInstitution oder E-Mail-AdresseAutoren-ORCID-iDORCID Put Code
Doicu, Adrianadrian.doicu (at) dlr.deNICHT SPEZIFIZIERTNICHT SPEZIFIZIERT
Trautmann, Thomasthomas.trautmann (at) dlr.deNICHT SPEZIFIZIERTNICHT SPEZIFIZIERT
Schreier, Franzfranz.schreier (at) dlr.deNICHT SPEZIFIZIERTNICHT SPEZIFIZIERT
Datum:2010
Open Access:Nein
Gold Open Access:Nein
In SCOPUS:Nein
In ISI Web of Science:Nein
Seitenbereich:Seiten 1-426
Verlag:Springer-Verlag and Praxis Publishing
Name der Reihe:Springer Praxis Books in Environmental Sciences
ISBN:978-3-642-05438-9
Status:veröffentlicht
Stichwörter:Inverse problems, Regularization, Optimization, Atmospheric remote sensing
HGF - Forschungsbereich:Verkehr und Weltraum (alt)
HGF - Programm:Weltraum (alt)
HGF - Programmthema:W EO - Erdbeobachtung
DLR - Schwerpunkt:Weltraum
DLR - Forschungsgebiet:W EO - Erdbeobachtung
DLR - Teilgebiet (Projekt, Vorhaben):W - Vorhaben Entwicklung von Atmosphärenprozessoren (alt)
Standort: Oberpfaffenhofen
Institute & Einrichtungen:Institut für Methodik der Fernerkundung > Atmosphärenprozessoren
Hinterlegt von: Schreier, Dr.rer.nat. Franz
Hinterlegt am:02 Nov 2010 13:24
Letzte Änderung:19 Apr 2013 10:55

Nur für Mitarbeiter des Archivs: Kontrollseite des Eintrags

Blättern
Suchen
Hilfe & Kontakt
Informationen
electronic library verwendet EPrints 3.3.12
Gestaltung Webseite und Datenbank: Copyright © Deutsches Zentrum für Luft- und Raumfahrt (DLR). Alle Rechte vorbehalten.