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DC Field | Value | Language |
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dc.contributor.author | Borthagaray, Juan Pablo | - |
dc.contributor.author | Nochetto, Ricardo H. | - |
dc.contributor.author | Salgado, Abner J. | - |
dc.contributor.author | Torres, Céline | - |
dc.date.accessioned | 2024-12-12T14:50:48Z | - |
dc.date.available | 2024-12-12T14:50:48Z | - |
dc.date.issued | 2024 | - |
dc.identifier.citation | Borthagaray, J., Nochetto, R., Salgado, A. y otros. Monotone two-scale methods for a class of integrodifferential operators and applications. [Preprint]. Publicado en: Mathematics. Numerical Analysis (math.NA), 2024, pp. 1-37. arXiv:2405.17652v2. DOI: 10.48550/arXiv.2405.17652 | es |
dc.identifier.uri | https://hdl.handle.net/20.500.12008/47503 | - |
dc.description.abstract | We develop a monotone, two-scale discretization for a class of integrodifferential operators of order 2s, s ∈ (0,1). We apply it to develop numerical schemes, and derive pointwise convergence rates, for linear and obstacle problems governed by such operators. As applications of the monotonicity, we provide error estimates for free boundaries and a convergent numerical scheme for a concave fully nonlinear, nonlocal, problem. | es |
dc.description.sponsorship | Proyecto ANII - FCE_3_2022_1_172393 (Fondo Clemente Estable, modalidad II) | es |
dc.format.extent | 37 p. | es |
dc.format.mimetype | application/pdf | es |
dc.language.iso | en | es |
dc.publisher | arXiv | es |
dc.relation.ispartof | Mathematics. Numerical Analysis (math.NA), arXiv:2405.17652v2, jul 2024, pp 1-37 | es |
dc.rights | Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014) | es |
dc.subject | Integrodifferential operators | es |
dc.subject | Monotonicity | es |
dc.subject | Obstacle problems | es |
dc.subject | Fully nonlinear nonlocal equations | es |
dc.subject | Rate of convergence | es |
dc.title | Monotone two-scale methods for a class of integrodifferential operators and applications. | es |
dc.type | Preprint | es |
dc.contributor.filiacion | Borthagaray Juan Pablo, Universidad de la República (Uruguay). Facultad de Ingeniería. | - |
dc.contributor.filiacion | Nochetto Ricardo H., Department of Mathematics and Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742 USA. | - |
dc.contributor.filiacion | Salgado Abner J., Department of Mathematics University of Tennessee, Knoxville TN 37996 | - |
dc.contributor.filiacion | Torres Céline, Institute of Mathematics, University of Zurich | - |
dc.rights.licence | Licencia Creative Commons Atribución (CC - By 4.0) | es |
Appears in Collections: | Publicaciones académicas y científicas - IMERL (Instituto de Matemática y Estadística Rafael Laguardia) Publicaciones académicas y científicas - Facultad de Ingeniería |
Files in This Item:
File | Description | Size | Format | ||
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BNST24.pdf | Preprint | 496,15 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License