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Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction / by Dang Dinh Ang, Rudolf Gorenflo, Vy Khoi Le, Dang Duc Trong
(Lecture Notes in Mathematics. ISSN:00758434 ; 1792)

出版者 (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年 2002
大きさ X, 186 p : online resource
書誌ID MC00022919

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eBook オンライン資料

MC000062778
SpringerLink Books Lecture Notes In Mathematics Archive 9783540456582
eBook オンライン資料

MC000577797
SpringerLink Books - AutoHoldings 9783540456582

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一般注記 Introduction -- Mathematical Preliminaries -- Regularization of moment problems by trancated expansion and by the Tikhonov method -- Backus-Gilbert regularization of a moment problem -- The Hausdorff moment problem: regularization and error estimates -- Analytic functions: reconstruction and Sinc approximations -- Regularization of some inverse problems in potential theory -- Regularization of some inverse problems in heat conduction -- Epilogue -- References -- Index
Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy's problem for the Laplace equation, gravimetry). The book can be used in a graduate or upper undergraduate course in Inverse Problems, or as supplementary reading for a course on Applied Partial Differential Equations.
著者標目 *Ang, Dang Dinh author
Gorenflo, Rudolf author
Le, Vy Khoi author
Trong, Dang Duc author
SpringerLink (Online service)
件 名 LCSH:Mathematics
LCSH:Functions of complex variables
LCSH:Integral equations
LCSH:Integral transforms
LCSH:Operational calculus
LCSH:Operator theory
LCSH:Partial differential equations
LCSH:Potential theory (Mathematics)
FREE:Mathematics
FREE:Functions of a Complex Variable
FREE:Potential Theory
FREE:Partial Differential Equations
FREE:Integral Transforms, Operational Calculus
FREE:Integral Equations
FREE:Operator Theory
分 類 LCC:QA331-355
DC23:515.9
資料種別 機械可読データファイル
巻冊次 ISBN:9783540456582