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A parallel multilevel partition of unity method for elliptic partial differential equations / Marc Alexander Schweitzer 

Public ISBD Titre : A parallel multilevel partition of unity method for elliptic partial differential equations : with 63 figures, 18 color plates and 40 tables Type de document : texte imprimé Auteurs : Marc Alexander Schweitzer, Auteur Editeur : Berlin Heidelberg : Springer-Verlag Année de publication : 2003 Collection : Lecture Notes in Computational Science and Engineering Importance : 194 p. Présentation : couv. ill. en coul. Format : 24 cm. ISBN/ISSN/EAN : 978-3-540-00351-7 Langues : Anglais (eng) Catégories : MATHEMATIQUES Mots-clés : Numerical, integration , Transformation ,construction ,differential equation hyperbolic, equation meshfree, method multilevel, method numerical, quadrature parallel, computation partial ,differential equation partition of unity tree code Index. décimale : 04-08 Mathématiques appliquées Résumé : The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. Up to now, however, meshfree methods have been in an early experimental stage and were not competitive due to the lack of efficient iterative solvers and numerical quadrature. This volume now presents an efficient parallel implementation of a meshfree method, namely the partition of unity method (PUM). A general numerical integration scheme is presented for the efficient assembly of the stiffness matrix as well as an optimal multilevel solver for the arising linear system. Furthermore, detailed information on the parallel implementation of the method on distributed memory computers is provided and numerical results are presented in two and three space dimensions with linear, higher order and augmented approximation spaces with up to 42 million degrees of freedom. Note de contenu : Contents 1 Introduction 2 Partition of Unity Method 3 Treatment of Elliptic Equations 4 Multilevel Solution of the Resulting Linear System 5 Tree Partition of Unity Method 6 Parallelization and Implementational Details 7 Concluding Remarks Treatment of other types of équations A.1 parabolic équations A.2 hyperbolic équations Transformation of keys color plates references index En ligne : https://www.google.com/imgres?imgurl=https%3A%2F%2Fmedia.springernature.com%2Ffu [...] A parallel multilevel partition of unity method for elliptic partial differential equations : with 63 figures, 18 color plates and 40 tables [texte imprimé] / Marc Alexander Schweitzer, Auteur . - Berlin Heidelberg : Springer-Verlag, 2003 . - 194 p. : couv. ill. en coul. ; 24 cm.. - (Lecture Notes in Computational Science and Engineering) . ISSN : 978-3-540-00351-7 Langues : Anglais (eng) Catégories : MATHEMATIQUES Mots-clés : Numerical, integration , Transformation ,construction ,differential equation hyperbolic, equation meshfree, method multilevel, method numerical, quadrature parallel, computation partial ,differential equation partition of unity tree code Index. décimale : 04-08 Mathématiques appliquées Résumé : The numerical treatment of partial differential equations with meshfree discretization techniques has been a very active research area in recent years. Up to now, however, meshfree methods have been in an early experimental stage and were not competitive due to the lack of efficient iterative solvers and numerical quadrature. This volume now presents an efficient parallel implementation of a meshfree method, namely the partition of unity method (PUM). A general numerical integration scheme is presented for the efficient assembly of the stiffness matrix as well as an optimal multilevel solver for the arising linear system. Furthermore, detailed information on the parallel implementation of the method on distributed memory computers is provided and numerical results are presented in two and three space dimensions with linear, higher order and augmented approximation spaces with up to 42 million degrees of freedom. Note de contenu : Contents 1 Introduction 2 Partition of Unity Method 3 Treatment of Elliptic Equations 4 Multilevel Solution of the Resulting Linear System 5 Tree Partition of Unity Method 6 Parallelization and Implementational Details 7 Concluding Remarks Treatment of other types of équations A.1 parabolic équations A.2 hyperbolic équations Transformation of keys color plates references index En ligne : https://www.google.com/imgres?imgurl=https%3A%2F%2Fmedia.springernature.com%2Ffu [...]

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Code-barres	Cote	Support	Localisation	Section	Disponibilité	N.Inventaire
118	04-08-05	Livre	Bibliothèque de Génie Electrique- USTO	Documentaires	Exclu du prêt	118

Hierarchical Neural Networks for Image Interpretation / Sven Behnke

Public ISBD Titre : Hierarchical Neural Networks for Image Interpretation Type de document : texte imprimé Auteurs : Sven Behnke, Auteur Editeur : Berlin Heidelberg : Springer-Verlag Année de publication : 2003 Collection : Lecture Notes in Computational Science and Engineering Importance : 224 p. Présentation : couv. ill. en coul., ill. Format : 23,4 cm. ISBN/ISSN/EAN : 978-3-540-40722-5 Langues : Anglais (eng) Catégories : AUTOMATISME Index. décimale : 25-05 Application du traitement numérique du signal Résumé : Human performance in visual perception by far exceeds the performance of contemporary computer vision systems. While humans are able to perceive their environment almost instantly and reliably under a wide range of conditions, computer vision systems work well only under controlled conditions in limited domains. This book sets out to reproduce the robustness and speed of human perception by proposing a hierarchical neural network architecture for iterative image interpretation. The proposed architecture can be trained using unsupervised and supervised learning techniques. Applications of the proposed architecture are illustrated using small networks. Furthermore, several larger networks were trained to perform various nontrivial computer vision tasks. Note de contenu : Table of contents I. Theory 2. Neurobiological Background 3. Related Work 4. Neural Abstraction Pyramid Architecture 5. Unsupervised Learning 6. Supervised Learning II. Applications 7. Recognition of Meter Values 8. Binarization of Matrix Codes 9. Learning Iterative Image Reconstruction 10. Face Localization 11. Summary and Conclusions Index Hierarchical Neural Networks for Image Interpretation [texte imprimé] / Sven Behnke, Auteur . - Berlin Heidelberg : Springer-Verlag, 2003 . - 224 p. : couv. ill. en coul., ill. ; 23,4 cm.. - (Lecture Notes in Computational Science and Engineering) . ISBN : 978-3-540-40722-5 Langues : Anglais (eng) Catégories : AUTOMATISME Index. décimale : 25-05 Application du traitement numérique du signal Résumé : Human performance in visual perception by far exceeds the performance of contemporary computer vision systems. While humans are able to perceive their environment almost instantly and reliably under a wide range of conditions, computer vision systems work well only under controlled conditions in limited domains. This book sets out to reproduce the robustness and speed of human perception by proposing a hierarchical neural network architecture for iterative image interpretation. The proposed architecture can be trained using unsupervised and supervised learning techniques. Applications of the proposed architecture are illustrated using small networks. Furthermore, several larger networks were trained to perform various nontrivial computer vision tasks. Note de contenu : Table of contents I. Theory 2. Neurobiological Background 3. Related Work 4. Neural Abstraction Pyramid Architecture 5. Unsupervised Learning 6. Supervised Learning II. Applications 7. Recognition of Meter Values 8. Binarization of Matrix Codes 9. Learning Iterative Image Reconstruction 10. Face Localization 11. Summary and Conclusions Index

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Code-barres	Cote	Support	Localisation	Section	Disponibilité	N.Inventaire
401	25-05-02	Livre	Bibliothèque de Génie Electrique- USTO	Documentaires	Exclu du prêt	401