Numerical Regularization for Atmospheric Inverse Problems
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The work Numerical Regularization for Atmospheric Inverse Problems represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Numerical Regularization for Atmospheric Inverse Problems
Resource Information
The work Numerical Regularization for Atmospheric Inverse Problems represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 Numerical Regularization for Atmospheric Inverse Problems
 Statement of responsibility
 by Adrian Doicu, Thomas Trautmann, Franz Schreier
 Language

 eng
 eng
 Summary
 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 illposedness 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 semiiterative 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 illposed 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 illposed problems, and include the similarity with the Tikhonov regularization. Chapter 9 brings the list of nonlinear methods to a close. It describes the BackusGilbert 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 illposed problems
 Dewey number
 551.5
 Language note
 English
 LC call number
 GE300350
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Springer Praxis Books
Context
Context of Numerical Regularization for Atmospheric Inverse ProblemsWork of
 Numerical Regularization for Atmospheric Inverse Problems, by Adrian Doicu, Thomas Trautmann, Franz Schreier, (electronic resource)
 Numerical Regularization for Atmospheric Inverse Problems, by Adrian Doicu, Thomas Trautmann, Franz Schreier, (electronic resource)
 Numerical Regularization for Atmospheric Inverse Problems, by Adrian Doicu, Thomas Trautmann, Franz Schreier, (electronic resource)
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