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Iterative Methods for Approximate Solution of Inverse Problems (Mathematics and Its Applications) - pocketboek

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Iterative Methods for Approximate Solution of Inverse Problems - pocketboek

2010

ISBN: 9048167981

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Iterative Methods for Approximate Solution of Inverse Problems - pocketboek

2010, ISBN: 9048167981

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Iterative Methods for Approximate Solution of Inverse Problems

This volume presents a unified approach to constructing iterative methods for solving irregular operator equations and provides rigorous theoretical analysis for several classes of these methods. The analysis of methods includes convergence theorems as well as necessary and sufficient conditions for their convergence at a given rate. The principal groups of methods studied in the book are iterative processes based on the technique of universal linear approximations, stable gradient-type processes, and methods of stable continuous approximations. Compared to existing monographs and textbooks on ill-posed problems, the main distinguishing feature of the presented approach is that it doesn't require any structural conditions on equations under consideration, except for standard smoothness conditions. This allows to obtain in a uniform style stable iterative methods applicable to wide classes of nonlinear inverse problems. Practical efficiency of suggested algorithms is illustrated in application to inverse problems of potential theory and acoustic scattering. The volume can be read by anyone with a basic knowledge of functional analysis.The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems.

Gedetalleerde informatie over het boek. - Iterative Methods for Approximate Solution of Inverse Problems


EAN (ISBN-13): 9789048167982
ISBN (ISBN-10): 9048167981
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
308 Bladzijden
Gewicht: 0,468 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-05-06T10:15:22+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2021-09-28T22:25:48+02:00 (Amsterdam)
ISBN/EAN: 9789048167982

ISBN - alternatieve schrijfwijzen:
90-481-6798-1, 978-90-481-6798-2


Gegevens van de uitgever

Auteur: A.B. Bakushinsky; M.Yu. Kokurin
Titel: Mathematics and Its Applications; Iterative Methods for Approximate Solution of Inverse Problems
Uitgeverij: Springer; Springer Netherland
291 Bladzijden
Verschijningsjaar: 2010-12-08
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,470 kg
Taal: Engels
96,29 € (DE)
98,99 € (AT)
106,50 CHF (CH)
POD

BC; Previously published in hardcover; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Numerische Mathematik; Verstehen; brandonwiskunde; algorithms; functional; functional analysis; Mathematica; mathematical modeling; modeling; operator; partial differential equations; B; Numerical Analysis; Algorithms; Integral Equations; Partial Differential Equations; Mathematical Modeling and Industrial Mathematics; Numerical Analysis; Algorithms; Integral Equations; Differential Equations; Mathematical Modeling and Industrial Mathematics; Mathematics and Statistics; Numerische Mathematik; Integralrechnung und -gleichungen; Differentialrechnung und -gleichungen; Mathematische Modellierung; Mathematik für Ingenieure; BB

Irregular Equations As Ill–Posed Problems.- Regularization Methods For Linear Equations.- Parametric Approximations Of Solutions To Nonlinear Operator Equations.- Iterative Processes On The Basis Of Parametric Approximations.- Stable Iterative Processes.- Applications Of Iterative Methods.

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9781402031229 Iterative Methods for Approximate Solution of Inverse Problems (A.B. Bakushinsky; M.Yu. Kokurin)


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