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NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS-II. / HUBBARD B.
Titre : NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS-II. Type de document : document imprimé Auteurs : HUBBARD B., Auteur Editeur : Academic Press Année de publication : 1971 Importance : 649,00 Langues : Français (fre) Mots-clés : DIFFERENTIAL EQUATIONS ELLIPTIC PROBLEMS HYPERBOLIC EQUATIONS METEOROLOGICAL PREDICTIONS PARABOLIC PROBLEMS THEORY EIGENVALUES TRANSONIC AIRFOILS Index. décimale : 02.60 Numerical differentiation and analysis Note de contenu : Synspade 1970
NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS-II. [document imprimé] / HUBBARD B., Auteur . - [S.l.] : Academic Press, 1971 . - 649,00.
Langues : Français (fre)
Mots-clés : DIFFERENTIAL EQUATIONS ELLIPTIC PROBLEMS HYPERBOLIC EQUATIONS METEOROLOGICAL PREDICTIONS PARABOLIC PROBLEMS THEORY EIGENVALUES TRANSONIC AIRFOILS Index. décimale : 02.60 Numerical differentiation and analysis Note de contenu : Synspade 1970
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Code-barres Cote Support Localisation Section Disponibilité CE0009 02.60 HUB Document imprimé IRPHE Indéterminé Disponible Quantum mechanics / I. L. Schiff
Titre : Quantum mechanics Type de document : document imprimé Auteurs : I. L. Schiff, Auteur Mention d'édition : 2nd ed. Editeur : New York : McGraw-Hill book company Année de publication : 1955 Collection : International series in pure and applied physics Importance : 417,00 Note générale : Hardback
Langues : Français (fre) Mots-clés : ATOMIC NUCLEI EIGENVALUES ELECTRODYNAMICS MATRIX FORM Index. décimale : 03 Quantum mechanics, field theories, special relativity, many-body Quantum mechanics [document imprimé] / I. L. Schiff, Auteur . - 2nd ed. . - McGraw-Hill book company, 1955 . - 417,00. - (International series in pure and applied physics) .
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Langues : Français (fre)
Mots-clés : ATOMIC NUCLEI EIGENVALUES ELECTRODYNAMICS MATRIX FORM Index. décimale : 03 Quantum mechanics, field theories, special relativity, many-body Réservation
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Code-barres Cote Support Localisation Section Disponibilité D0019 03 SCH Document imprimé IRPHE Bibliothèque de l'IRPHE Sorti jusqu'au 06/02/2009 Mathematical notes of the Academy of Sciences of the USSR, Vol.72 No.3-4. On the Spectrum Localization of the Orr--Sommerfeld Problem for Large Reynolds Numbers / A. A. Shkalikov
in Mathematical notes of the Academy of Sciences of the USSR
Titre de série : Mathematical notes of the Academy of Sciences of the USSR, Vol.72 No.3-4 Titre : On the Spectrum Localization of the Orr--Sommerfeld Problem for Large Reynolds Numbers Type de document : articles et extraits Auteurs : A. A. Shkalikov, Auteur ; S. N. Tumanov, Auteur Année de publication : 2002 Importance : p.519-526 ISBN/ISSN/EAN : 0001-4346 Langues : Français (fre) Mots-clés : Asymptotic formulas for eigenvalues Couette and Poiseuille flows Orr Sommerfeld problem Résumé : The paper deals with the Orr--Sommerfeld problem and the corresponding model problem -i\varepsilon^2y''-q(x)y=-\lambda y, \qquad y(-1)=y(1)=0. The functions q(x)= x and q(x)= x^2 in this model correspond to the Couette and the Poiseuille profiles, respectively. Small values of the parameter \varepsilon correspond to large Reynolds numbers. As \varepsilon tends to zero, the spectrum of the model problem is localized near certain critical curves in the complex plane, whose explicit form can be determined. Moreover, there are asymptotic formulas for the eigenvalue distribution along these curves as \varepsilon\to 0. The main result of the paper is the following: as the Reynolds number tends to infinity, the spectrum of the Orr--Sommerfeld problem for the Couette and the Poiseuille flows is localized to the critical curves, which are the same as in the model problem. Moreover, the main terms of the asymptotic formulas for the eigenvalue distribution are preserved.
in Mathematical notes of the Academy of Sciences of the USSR
Mathematical notes of the Academy of Sciences of the USSR, Vol.72 No.3-4. On the Spectrum Localization of the Orr--Sommerfeld Problem for Large Reynolds Numbers [articles et extraits] / A. A. Shkalikov, Auteur ; S. N. Tumanov, Auteur . - 2002 . - p.519-526.
ISSN : 0001-4346
Langues : Français (fre)
Mots-clés : Asymptotic formulas for eigenvalues Couette and Poiseuille flows Orr Sommerfeld problem Résumé : The paper deals with the Orr--Sommerfeld problem and the corresponding model problem -i\varepsilon^2y''-q(x)y=-\lambda y, \qquad y(-1)=y(1)=0. The functions q(x)= x and q(x)= x^2 in this model correspond to the Couette and the Poiseuille profiles, respectively. Small values of the parameter \varepsilon correspond to large Reynolds numbers. As \varepsilon tends to zero, the spectrum of the model problem is localized near certain critical curves in the complex plane, whose explicit form can be determined. Moreover, there are asymptotic formulas for the eigenvalue distribution along these curves as \varepsilon\to 0. The main result of the paper is the following: as the Reynolds number tends to infinity, the spectrum of the Orr--Sommerfeld problem for the Couette and the Poiseuille flows is localized to the critical curves, which are the same as in the model problem. Moreover, the main terms of the asymptotic formulas for the eigenvalue distribution are preserved.
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Code-barres Cote Support Localisation Section Disponibilité ART-6931-0 ART Document imprimé Bureau chercheur Bureau de LE DIZES, Stéphane Disponible