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- catalog abstract "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.".
- catalog contributor b12601517.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog description "Includes bibliographical references (p. [175]-180) and index.".
- catalog description "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.".
- catalog description "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.".
- catalog extent "viii, 183 p.".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540440062 (softcover : alk. paper)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1792.".
- catalog isPartOf "Lectures notes in mathematics, 0075-8434 ; 1792".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "510 s 515 21".
- catalog subject "Differential equations, partial.".
- catalog subject "Functions of complex variables.".
- catalog subject "Heat Conduction Mathematical models.".
- catalog subject "Integral Transforms.".
- catalog subject "Integral equations.".
- catalog subject "Inverse problems (Differential equations)".
- catalog subject "Mathematics.".
- catalog subject "Moment problems (Mathematics)".
- catalog subject "Operator theory.".
- catalog subject "Potential theory (Mathematics)".
- catalog subject "QA3 .L28 no. 1792 QA432".
- catalog tableOfContents "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.".
- catalog title "Moment theory and some inverse problems in potential theory and heat conduction / Dang Dinh Ang ... [et al.].".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".