Résolution numérique des grands systèmes linéaires PDF Download

Author: Gene Howard Golub
Publisher:
ISBN:
Category : Differential equations, Linear
Languages : fr
Pages : 352

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Author: France. Commissariat à l'énergie atomique
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Brigitte Gest
Publisher:
ISBN:
Category :
Languages : fr
Pages : 127

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L'efficacité des méthodes directes, dites rapides, de résolution de certains grands systèmes linéaires creux a été testée tout au long de ce travail. Se basant presque toutes sur un même procédé de calcul, la transformation de Fourier rapide, elles se regroupent en trois classes : l'analyse de Fourier, la réduction cyclique par blocs et la technique F.A.C.R (l) combinaison des deux précédentes. Exigeant la régularité de l'ouvert, des comparaisons avec des méthodes existantes classiques ont tout d'abord été établies sous cette contrainte. Au vu des résultats très concluants, des démarches permettant de travailler dans des domaines plus généraux ont été mises en œuvre : technique de la matrice de capacitance, couplages méthode itérative par blocs/méthode rapide. Le raffinement d'une partie du maillage de l'ouvert a été également envisagé. La structure même des ouverts étudiés privilégiant la méthode semi-directe, c'est cette association qui a été choisie comme algorithme témoin lors des derniers essais numériques comparatifs.

Author: Louis Couffignal
Publisher:
ISBN:
Category :
Languages : en
Pages : 180

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Author: Louis Couffignal
Publisher:
ISBN:
Category : Algebras, Linear
Languages : fr
Pages : 198

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Author: Jacques Louis Lions
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Category :
Languages : fr
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Author: Y. Gardan
Publisher: Springer Science & Business Media
ISBN: 1468415115
Category : Science
Languages : en
Pages : 163

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The use of computer-aided design (CAD) systems always involves the introduction of mathematical concepts. It is important, therefore, for any systems designer to have a good grasp of the mathematical bases used in CAD. The choice of mathematical models in a system also has an effect on the overall quality, although this effect may not always be visible to the final user. Depending on whether Bezier or B-spline functions are used for curves and surfaces, for example, the final user even if not a com puter scientist will notice a difference. If, for example, one of the control points is modified by the user, in a Bezier-type representation, the curve or surface will tend to be modified overall, but in a B-spline representation, the curve or surface will tend to be modified close to the point, and there only. More possibly harmful, however, is the effect of the mathematical model which has a number of properties invisible and unknown to the final user. In every case a model must be chosen with, it is hoped, the most appropriate characteristics and limits for the task in hand.

Author: Béatrice Ravier
Publisher:
ISBN:
Category :
Languages : fr
Pages : 344

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ON TRAITE DES METHODES DE RESOLUTION RAPIDE DE GRANDS SYSTEMES LINEAIRES, POUR UN PROBLEME ELLIPTIQUE POSE DANS UMN DOMAINE DE R**(2), FORME D'UN, PUIS DE PLUSIEURS RECTANGLES (DOMAINE EN L, EN "FOURCHE"). LE CAS D'UN DOMAINE QUELCONQUE EST ABORDE

Author: Roland Glowinski
Publisher: SIAM
ISBN: 0898712300
Category : Science
Languages : en
Pages : 301

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This volume deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator-splitting methods.

Author: Gene H. Golub
Publisher: Springer Science & Business Media
ISBN: 3642755364
Category : Computers
Languages : en
Pages : 717

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Numerical linear algebra, digital signal processing, and parallel algorithms are three disciplines with a great deal of activity in the last few years. The interaction between them has been growing to a level that merits an Advanced Study Institute dedicated to the three areas together. This volume gives an account of the main results in this interdisciplinary field. The following topics emerged as major themes of the meeting: - Singular value and eigenvalue decompositions, including applications, - Toeplitz matrices, including special algorithms and architectures, - Recursive least squares in linear algebra, digital signal processing and control, - Updating and downdating techniques in linear algebra and signal processing, - Stability and sensitivity analysis of special recursive least squares problems, - Special architectures for linear algebra and signal processing. This book contains tutorials on these topics given by leading scientists in each of the three areas. A consider- able number of new research results are presented in contributed papers. The tutorials and papers will be of value to anyone interested in the three disciplines.