first order schemes in the numerical quantization method · first order schemes in the numerical...

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First order schemes in the numerical quantization method Vlad Bally, Gilles Pag` es, Jacques Printems To cite this version: Vlad Bally, Gilles Pag` es, Jacques Printems. First order schemes in the numerical quantization method. [Research Report] RR-4424, INRIA. 2002. <inria-00072164> HAL Id: inria-00072164 https://hal.inria.fr/inria-00072164 Submitted on 23 May 2006 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destin´ ee au d´ epˆ ot et ` a la diffusion de documents scientifiques de niveau recherche, publi´ es ou non, ´ emanant des ´ etablissements d’enseignement et de recherche fran¸cais ou ´ etrangers, des laboratoires publics ou priv´ es.

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Page 1: First order schemes in the numerical quantization method · First order schemes in the numerical quantization method Vlad Bally, Gilles Pag es, Jacques Printems To cite this version:

First order schemes in the numerical quantization

method

Vlad Bally, Gilles Pages, Jacques Printems

To cite this version:

Vlad Bally, Gilles Pages, Jacques Printems. First order schemes in the numerical quantizationmethod. [Research Report] RR-4424, INRIA. 2002. <inria-00072164>

HAL Id: inria-00072164

https://hal.inria.fr/inria-00072164

Submitted on 23 May 2006

HAL is a multi-disciplinary open accessarchive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come fromteaching and research institutions in France orabroad, or from public or private research centers.

L’archive ouverte pluridisciplinaire HAL, estdestinee au depot et a la diffusion de documentsscientifiques de niveau recherche, publies ou non,emanant des etablissements d’enseignement et derecherche francais ou etrangers, des laboratoirespublics ou prives.

Page 2: First order schemes in the numerical quantization method · First order schemes in the numerical quantization method Vlad Bally, Gilles Pag es, Jacques Printems To cite this version:

ISS

N 0

249-

6399

ISR

N IN

RIA

/RR

--44

24--

FR

+E

NG

ap por t de r ech er ch e

THÈME 4

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

First order schemes in the numerical quantizationmethod

V. Bally — G. Pagès — J. Printems

N° 4424

Avril 2002

Page 3: First order schemes in the numerical quantization method · First order schemes in the numerical quantization method Vlad Bally, Gilles Pag es, Jacques Printems To cite this version:
Page 4: First order schemes in the numerical quantization method · First order schemes in the numerical quantization method Vlad Bally, Gilles Pag es, Jacques Printems To cite this version:

Unité de recherche INRIA RocquencourtDomaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex (France)

Téléphone : +33 1 39 63 55 11 — Télécopie : +33 1 39 63 53 30

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Page 16: First order schemes in the numerical quantization method · First order schemes in the numerical quantization method Vlad Bally, Gilles Pag es, Jacques Printems To cite this version:

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Page 17: First order schemes in the numerical quantization method · First order schemes in the numerical quantization method Vlad Bally, Gilles Pag es, Jacques Printems To cite this version:

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Page 18: First order schemes in the numerical quantization method · First order schemes in the numerical quantization method Vlad Bally, Gilles Pag es, Jacques Printems To cite this version:

�F¯ ¶���� ¼ ¶��B´�¶����U´��´�� ¯²± � U´ ±�� �+´�¶ ¯ �~µ ®���� µ ± � ¯�� µ�� ¯¹¼o± �+´�� ¼ � � �

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Page 19: First order schemes in the numerical quantization method · First order schemes in the numerical quantization method Vlad Bally, Gilles Pag es, Jacques Printems To cite this version:

� � � µ ®²®������ µ���� ��� ¶ ¯²± �ª´��» �

��� ¾] � ¾ � * ´�� � � � ¼J¼ ��´ ��� / µ ± � � � ��� � � µ ± � � � »k» ¼ �)´ � �µ<� ��U % 4 � ��� �� % n ��- U´ ±� | * . (/ * HLf * J�� 6 ' ��*)

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Page 21: First order schemes in the numerical quantization method · First order schemes in the numerical quantization method Vlad Bally, Gilles Pag es, Jacques Printems To cite this version:

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Page 22: First order schemes in the numerical quantization method · First order schemes in the numerical quantization method Vlad Bally, Gilles Pag es, Jacques Printems To cite this version:

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Page 23: First order schemes in the numerical quantization method · First order schemes in the numerical quantization method Vlad Bally, Gilles Pag es, Jacques Printems To cite this version:

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Page 24: First order schemes in the numerical quantization method · First order schemes in the numerical quantization method Vlad Bally, Gilles Pag es, Jacques Printems To cite this version:

Unité de recherche INRIA RocquencourtDomaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex (France)

Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois - Campus scientifique615, rue du Jardin Botanique - BP 101 - 54602 Villers-lès-Nancy Cedex (France)

Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France)Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38330 Montbonnot-St-Martin (France)

Unité de recherche INRIA Sophia Antipolis : 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex (France)

ÉditeurINRIA - Domaine de Voluceau - Rocquencourt, BP 105 - 78153 Le Chesnay Cedex (France)��������� ���� ���������� ��� ���

ISSN 0249-6399