Applied inverse problems : lectures presented at the RCP 264, "Etude interdisciplinaire des problèmes inverses" / sponsored by the Centre national de la recherche scientifique ; edited by P.C. Sabatier.

By: Centre national de la recherche scientifique (France). Recherche coopérative sur programme 264
Contributor(s): Sabatier, Pierre Célestin, 1935-
Material type: TextTextSeries: Lecture notes in physics: 85.Publisher: Berlin ; New York : Springer-Verlag, 1978Description: 1 online resource (v, 425 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540355946; 3540355944Subject(s): Inverse problems (Differential equations) | Mathematical physics | Geophysics | Problèmes inversés (Équations différentielles) | Physique mathématique | Géophysique -- Mathématiques | Geophysics | Inverse problems (Differential equations) | Mathematical physics | Mathematische fysica | Inverse problemen | Problèmes inverses (équations différentielles) | Physique mathématique | Inverses Problem | Theoretische Physik | Geophysics | Inverse problems (Differential equations) | Mathematical physicsGenre/Form: Electronic books. Additional physical formats: Print version:Centre national de la recherche scientifique (France). Recherche coopérative sur programme 264.: Applied inverse problems.DDC classification: 530.1/5/535 LOC classification: QC20.7.D5 | F73 1978Other classification: 33.06 | 33.00 | 18a Online resources: Click here to access online
Contents:
To applied inverse problems -- Ray theoretical inverse methods in geophysics -- Inverse methods applied to continuation problems in geophysics -- Linear inverse theory with a priori data -- Application of linear programming to the inverse gravity or magnetic problem basic numerical techniques -- Analytic extrapolations and inverse problems -- Stieltjes functions and approximate solutions of an inverse problem -- Quelques methodes sur la recherche d'un domaine optimal -- Diverses donnees spectrales pour le probleme in verse discret de sturm-liouville -- On the regularization of linear inverse problems in Fourier optics -- Determination of the index profile of a dielectric plate from scattering data -- Inversion-like integral equations -- Inverse method for off-shell continuation of the scattering amplitude in quantum mechanics -- Utilisation des groupes de transformation pour la resolution des equations aux derivees partielles -- Spectral transform and nonlinear evolution equations -- What you always wanted to know about the application of inverse problems to nonlinear equations (or what you would like to do with the I.S.T. -- On the inverse problem of local seismic foci -- An inverse problem for electromagnetic prospection -- Survey of the phenomenological approach to the inverse problem in elementary particles scattering -- A study of an inverse problem for finite range potentials -- Algorithmes pour un probleme inverse discret de sturm-liouville -- Construction of Regge amplitudes through solution of S-matrix equations -- Gel'fand-Levitan theory of the inverse problem for singular potentials.
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To applied inverse problems -- Ray theoretical inverse methods in geophysics -- Inverse methods applied to continuation problems in geophysics -- Linear inverse theory with a priori data -- Application of linear programming to the inverse gravity or magnetic problem basic numerical techniques -- Analytic extrapolations and inverse problems -- Stieltjes functions and approximate solutions of an inverse problem -- Quelques methodes sur la recherche d'un domaine optimal -- Diverses donnees spectrales pour le probleme in verse discret de sturm-liouville -- On the regularization of linear inverse problems in Fourier optics -- Determination of the index profile of a dielectric plate from scattering data -- Inversion-like integral equations -- Inverse method for off-shell continuation of the scattering amplitude in quantum mechanics -- Utilisation des groupes de transformation pour la resolution des equations aux derivees partielles -- Spectral transform and nonlinear evolution equations -- What you always wanted to know about the application of inverse problems to nonlinear equations (or what you would like to do with the I.S.T. -- On the inverse problem of local seismic foci -- An inverse problem for electromagnetic prospection -- Survey of the phenomenological approach to the inverse problem in elementary particles scattering -- A study of an inverse problem for finite range potentials -- Algorithmes pour un probleme inverse discret de sturm-liouville -- Construction of Regge amplitudes through solution of S-matrix equations -- Gel'fand-Levitan theory of the inverse problem for singular potentials.

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