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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| Main Authors: | , , , |
|---|---|
| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1792 |
| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
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 |
Table of Contents:
- 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.