Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction
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 inaccu...
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| Hauptverfasser: | , , , |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Lecture notes in mathematics
1792 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Autre contribution : Dang Duc Trong (co-auteur) Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Moment theory and some inverse problems in potential theory and heat conduction, Dang Dinh Ang, Rudolf Gorenflo, Vy Khoi Le ... [et al.], 2002, Berlin, Springer, 1 vol. (VIII-183 p.), Lecture notes in mathematics, 3-540-44006-2 • Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction, Texte imprimé, 9783662182925 |
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| 100 | 1 | |a Ang, Dang Dinh, |d 19..- | |
| 245 | 1 | 0 | |a Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction |c Dang Dinh Ang, Rudolf Gorenflo, Vy Khoi Le, ... [et al.]. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1792 |x 1617-9692 | |
| 500 | |a Autre contribution : Dang Duc Trong (co-auteur) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Théorie du potentiel | ||
| 650 | |a Problèmes des moments (mathématiques) | ||
| 650 | |a Problèmes inverses (équations différentielles) | ||
| 650 | |a Transfert de chaleur |x Modèles mathématiques | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Équations intégrales | ||
| 650 | |a Mathématiques | ||
| 650 | |a Théorie des opérateurs | ||
| 650 | |a Fonctions d'une variable complexe | ||
| 700 | 1 | |a Gorenflo, Rudolf, |d 1930-2017. |4 aut | |
| 700 | 1 | |a Le, Vy Khoi, |d 19..- |4 aut | |
| 700 | 1 | |a Trong, Dang Duc, |d 19..- |4 aut | |
| 776 | 0 | |0 073744697 |t Moment theory and some inverse problems in potential theory and heat conduction |f Dang Dinh Ang, Rudolf Gorenflo, Vy Khoi Le ... [et al.] |d 2002 |c Berlin |n Springer |p 1 vol. (VIII-183 p.) |s Lecture notes in mathematics |z 3-540-44006-2 | |
| 776 | 0 | |t Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction |b Texte imprimé |z 9783662182925 | |
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