Une méthode numérique de résolution de l'equation de Monge-Ampère

Translated title of the contribution: Numerical solution of the Monge-Ampère equation by a Newton's algorithm

Grégoire Loeper, Francesca Rapetti

Research output: Contribution to journalArticleResearchpeer-review

54 Citations (Scopus)

Abstract

We solve numerically the Monge-Ampère equation with periodic boundary condition using a Newton's algorithm. We prove convergence of the algorithm, and present some numerical examples, for which a good approximation is obtained in 10 iterations.

Original languageFrench
Pages (from-to)319-324
Number of pages6
JournalComptes Rendus Mathematique
Volume340
Issue number4
DOIs
Publication statusPublished - 15 Feb 2005
Externally publishedYes

Cite this

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title = "Une m{\'e}thode num{\'e}rique de r{\'e}solution de l'equation de Monge-Amp{\`e}re",
abstract = "We solve numerically the Monge-Amp{\`e}re equation with periodic boundary condition using a Newton's algorithm. We prove convergence of the algorithm, and present some numerical examples, for which a good approximation is obtained in 10 iterations.",
author = "Gr{\'e}goire Loeper and Francesca Rapetti",
year = "2005",
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language = "French",
volume = "340",
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journal = "Comptes Rendus Mathematique",
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publisher = "Elsevier",
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Une méthode numérique de résolution de l'equation de Monge-Ampère. / Loeper, Grégoire; Rapetti, Francesca.

In: Comptes Rendus Mathematique, Vol. 340, No. 4, 15.02.2005, p. 319-324.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Une méthode numérique de résolution de l'equation de Monge-Ampère

AU - Loeper, Grégoire

AU - Rapetti, Francesca

PY - 2005/2/15

Y1 - 2005/2/15

N2 - We solve numerically the Monge-Ampère equation with periodic boundary condition using a Newton's algorithm. We prove convergence of the algorithm, and present some numerical examples, for which a good approximation is obtained in 10 iterations.

AB - We solve numerically the Monge-Ampère equation with periodic boundary condition using a Newton's algorithm. We prove convergence of the algorithm, and present some numerical examples, for which a good approximation is obtained in 10 iterations.

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U2 - 10.1016/j.crma.2004.12.018

DO - 10.1016/j.crma.2004.12.018

M3 - Article

VL - 340

SP - 319

EP - 324

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

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