Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Joel Chaskalovic"'
Autor:
Joel Chaskalovic, Hessam Jamshidipour
Publikováno v:
Axioms, Vol 11, Iss 10, p 562 (2022)
This paper is devoted to a new first order Taylor-like formula, where the corresponding remainder is strongly reduced in comparison with the usual one, which appears in the classical Taylor’s formula. To derive this new formula, we introduce a line
Externí odkaz:
https://doaj.org/article/b03a7dcbfc8d4830846df676a1dcafb7
Autor:
Joel Chaskalovic, Franck Assous
Publikováno v:
Mathematical Modelling and Analysis, Vol 22, Iss 1 (2017)
This paper proposes a statistical and probabilistic approach to compare and analyze the errors of two different approximation methods. We introduce the principle of numerical uncertainty in such a process, and we illustrate it by considering the disc
Externí odkaz:
https://doaj.org/article/edb11fba2ab84037adbb3ec1c890fa8e
Autor:
Franck Assous, Joel Chaskalovic
Publikováno v:
Axioms; Volume 11; Issue 3; Pages: 84
In this paper we propose a new generation of probability laws based on the generalized Beta prime distribution to estimate the relative accuracy between two Lagrange finite elements $P_{k_1}$ and $P_{k_2}, (k_1
Comment: 13 pages, 7 figures
Comment: 13 pages, 7 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::286008f089d611adcedde90cb6d9a1e4
Autor:
Joël Chaskalovic
This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equation. A particular emphasis is put on finite element methods. The unique approach first summarizes and
Autor:
Jöel Chaskalovic, Franck Assous
Publikováno v:
Mathematical Modelling and Analysis, Vol 26, Iss 4, Pp 684-695 (2021)
We propose a numerical validation of a probabilistic approach applied to estimate the relative accuracy between two Lagrange finite elements Pk and Pm,(k < m). In particular, we show practical cases where finite element Pk gives more accurate results
Externí odkaz:
https://doaj.org/article/0b886095559a4d3dbbc82abc0ed78705
Autor:
Joel Chaskalovic
This self-tutorial offers a concise yet thorough grounding in the mathematics necessary for successfully applying FEMs to practical problems in science and engineering. The unique approach first summarizes and outlines the finite-element mathematics
Autor:
Joël Chaskalovic, Franck Assous
Publikováno v:
Axioms, Vol 11, Iss 3, p 84 (2022)
In this paper, we propose a new family of probability laws based on the Generalized Beta Prime distribution to evaluate the relative accuracy between two Lagrange finite elements Pk1 and Pk2,(k1
Externí odkaz:
https://doaj.org/article/ddad0b7bc224433d857e148c1b56bc1a
Autor:
Joël Chaskalovic
Publikováno v:
Axioms, Vol 10, Iss 4, p 349 (2021)
A probabilistic approach is developed for the exact solution u to a deterministic partial differential equation as well as for its associated approximation uh(k) performed by Pk Lagrange finite element. Two limitations motivated our approach: On the
Externí odkaz:
https://doaj.org/article/b8ed70871c8241bc9f9ef4ea7f038be5