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pro vyhledávání: '"Monotone finite differences"'
Autor:
Bonnet, Guillaume
Publikováno v:
Numerical Analysis [math.NA]. Université Paris-Saclay, 2021. English. ⟨NNT : 2021UPASM042⟩
In this thesis, we show how Voronoi's first reduction may be used in order to build monotone finite difference discretizations on Cartesian grids of some degenerate elliptic differential operators. We recommend a specific, second-order consistent dis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::a5f95101b0f8d934e13547466ed801de
https://tel.archives-ouvertes.fr/tel-03485421
https://tel.archives-ouvertes.fr/tel-03485421
Publikováno v:
Mathematics of Computation
Mathematics of Computation, 2016, 85 (302), pp.2743-2775. ⟨10.1090/mcom/3080⟩
Mathematics of Computation, American Mathematical Society, 2016, 85 (302), pp.2743-2775. ⟨10.1090/mcom/3080⟩
Mathematics of Computation, 2016, 85 (302), pp.2743-2775. ⟨10.1090/mcom/3080⟩
Mathematics of Computation, American Mathematical Society, 2016, 85 (302), pp.2743-2775. ⟨10.1090/mcom/3080⟩
International audience; We introduce a novel discretization of the Monge-Ampere operator, simultaneously consistent and degenerate elliptic, hence accurate and robust in applications. These properties are achieved by exploiting the arithmetic structu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f42f2dcc70ae33ca8631f34ecaf5260
https://hal.science/hal-01067540/file/OTBasis.pdf
https://hal.science/hal-01067540/file/OTBasis.pdf
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