THEORETICAL OPTIMIZATION OF FINITE DIFFERENCE SCHEMES

The aim of this work is to develop general optimization methods for finite difference schemes used to approximate linear differential equations. The specific case of the transport equation is exposed. In particular, the minimization of the numerical error is taken into account. The theoretical study of a related linear algebraic problem gives general results which can lead to the determination of the optimal scheme.

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Additional Info

Field Value
Source ISSN: 1201-3390
Author David, Claire, Sagaut, Pierre
Maintainer CCSD
Last Updated May 9, 2026, 03:27 (UTC)
Created May 9, 2026, 03:27 (UTC)
Identifier hal-00088029
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire de Modélisation en Mécanique (LMM) ; Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)
creator David, Claire
date 2007-05-09T00:00:00
harvest_object_id ace49335-a9c0-4ea6-a8da-ba173847fae3
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-01-28T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/math.AP/0607746
set_spec type:ART