Polynômes orthogonaux et approximants de Padé: logiciels
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | French |
| Published: |
Paris
Ed. Technip
1987
|
| Series: | Collection langages et algorithmes de l'informatique
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 310 S. graph. Darst. |
| ISBN: | 2710805200 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Table des matières
Préface v
INTRODUCTION 1
Chapitre 1
LES POLYNOMES ORTHOGONAUX FORMELS 5
1 . 1 Définition 6
1 . 2 Relation de récurrence 12
1 . 3 Polynômes associés 14
1 . 4 Systèmes adjacents de polynômes orthogonaux 15
1 . 5 Polynômes W.j_(m) 30
1 . 6 Polynômes semi orthogonaux 38
1.7 Déplacements verticaux dans la table P 47
Chapitre 2
LES QUADRATURES DE GAUSS 53
2 . 1 Définition 54
Chapitre 3
LES APPROXIMANTS DE PADE 63
3 . 1 Les approximants des séries de fonctions 63
3 . 2 Les approximants de type Padé 68
3 . 3 Les approximants de Padé 72
TABLE DES MATIERES X
3 . 4 Normalité 77
3 . 5 Règle de la croix 80
3 . 6 Relations de récurrence 82
3 . 7 Convergence des approximants de Padé 86
3 . 8 Les autres algorithmes 87
Chapitre 4
ALGORITHME DE DEPLACEMENT DANS LA TABLE P . 89
4 . 1 Introduction 89
4 . 2 Algorithme 93
Chapitre 5
MISE EN OEUVRE 145
5 . 1 Le module PADE 145
5 . 2 Exemple d utilisation de PADE 148
5 . 3 Le module PADERA 156
5.3.1 Définition de 1 arithmétique rationnelle étendue 156
5 . 3 . 2 Mise en oeuvre de PADERA 158
5.3.3 Exemple d utilisation de PADERA 160
CONCLUSION 171
ANNEXE 1 179
ANNEXE 2
PADE 181
ANNEXE 3
PADERA 231
BIBLIOGRAPHIE 309
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| classification_rvk | SK 470 |
| ctrlnum | (OCoLC)17983984 (DE-599)BVBBV008947175 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV008947175 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:27:15Z |
| institution | BVB |
| isbn | 2710805200 |
| language | French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005903125 |
| oclc_num | 17983984 |
| open_access_boolean | |
| owner | DE-29T DE-11 |
| owner_facet | DE-29T DE-11 |
| physical | X, 310 S. graph. Darst. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Ed. Technip |
| record_format | marc |
| series2 | Collection langages et algorithmes de l'informatique |
| spelling | Draux, André Verfasser aut Polynômes orthogonaux et approximants de Padé logiciels André Draux ; Patrick Van Ingelandt Paris Ed. Technip 1987 X, 310 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Collection langages et algorithmes de l'informatique Orthogonal polynomials Padé approximant Padé-Näherungsbruch (DE-588)4173061-6 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 s Padé-Näherungsbruch (DE-588)4173061-6 s DE-604 Van Ingelandt, Patrick Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005903125&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Draux, André Van Ingelandt, Patrick Polynômes orthogonaux et approximants de Padé logiciels Orthogonal polynomials Padé approximant Padé-Näherungsbruch (DE-588)4173061-6 gnd Orthogonale Polynome (DE-588)4172863-4 gnd |
| subject_GND | (DE-588)4173061-6 (DE-588)4172863-4 |
| title | Polynômes orthogonaux et approximants de Padé logiciels |
| title_auth | Polynômes orthogonaux et approximants de Padé logiciels |
| title_exact_search | Polynômes orthogonaux et approximants de Padé logiciels |
| title_full | Polynômes orthogonaux et approximants de Padé logiciels André Draux ; Patrick Van Ingelandt |
| title_fullStr | Polynômes orthogonaux et approximants de Padé logiciels André Draux ; Patrick Van Ingelandt |
| title_full_unstemmed | Polynômes orthogonaux et approximants de Padé logiciels André Draux ; Patrick Van Ingelandt |
| title_short | Polynômes orthogonaux et approximants de Padé |
| title_sort | polynomes orthogonaux et approximants de pade logiciels |
| title_sub | logiciels |
| topic | Orthogonal polynomials Padé approximant Padé-Näherungsbruch (DE-588)4173061-6 gnd Orthogonale Polynome (DE-588)4172863-4 gnd |
| topic_facet | Orthogonal polynomials Padé approximant Padé-Näherungsbruch Orthogonale Polynome |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005903125&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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