Zobrazeno 1 - 10 of 23 pro vyhledávání: '"Laurence Grammont"'
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Akademický článek
An Extension of the Product Integration Method to L1 with Applications in Astrophysics
Autor: Laurence Grammont, Mario Ahues, Hanane Kaboul
Publikováno v: Mathematical Modelling and Analysis, Vol 21, Iss 6 (2016)
A Fredholm integral equation of the second kind in L1([a, b], C) with a weakly singular kernel is considered. Sufficient conditions are given for the existence and uniqueness of the solution. We adapt the product integration method proposed in C0 ([a
Externí odkaz: https://doaj.org/article/618d9deb1f5f4ebe85d021e46526718f
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3
A product integration type method for solving nonlinear integral equations in L1
Autor: Hanane Kaboul, Laurence Grammont, Mario Ahues
Publikováno v: Applied Numerical Mathematics
Applied Numerical Mathematics, Elsevier, 2017, 114, pp.38-46. ⟨10.1016/j.apnum.2016.11.006⟩
This paper deals with nonlinear Fredholm integral equations of the second kind. We study the case of a weakly singular kernel and we set the problem in the space L 1 ( [ a , b ] , C ) . As numerical method, we extend the product integration scheme fr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7d2f343feb78d7662f4699807c42bdf
https://doi.org/10.1016/j.apnum.2016.11.006
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4
AN EXTENSION OF THE PRODUCT INTEGRATION METHOD TO L1 WITH APPLICATIONS IN ASTROPHYSICS
Autor: Hanane Kaboul, Mario Ahues, Laurence Grammont
Publikováno v: Mathematical Modelling and Analysis
Mathematical Modelling and Analysis, Taylor&Francis and VGTU, 2017, 21 (6), pp.774-793. ⟨10.3846/13926292.2016.1243590⟩
Mathematical Modelling and Analysis; Vol 21 No 6 (2016); 774-793
Mathematical Modelling and Analysis, Vol 21, Iss 6 (2016)
A Fredholm integral equation of the second kind in L1([a, b], C) with a weakly singular kernel is considered. Sufficient conditions are given for the existence and uniqueness of the solution. We adapt the product integration method proposed in C0 ([a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff8ac8b138cfbbe65edbe2087061a503
https://hal.archives-ouvertes.fr/hal-02094405
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5
A new method for interpolating in a convex subset of a Hilbert space
Autor: Hassan Maatouk, Laurence Grammont, Xavier Bay
Publikováno v: Computational Optimization and Applications
Computational Optimization and Applications, Springer Verlag, 2017, 68 (1), pp.95-120. ⟨10.1007/s10589-017-9906-9⟩
Computational Optimization and Applications, 2017, 68 (1), pp.95-120. ⟨10.1007/s10589-017-9906-9⟩
International audience; In this paper, interpolating curve or surface with linear inequality constraints is considered as a general convex optimization problem in a Reproducing Kernel Hilbert Space. We propose a new approximation method based on a di
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7bfe8c4b1a106b0c1a13d2861703f9ee
https://hal.archives-ouvertes.fr/hal-01136466
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6
A new degenerate kernel method for a weakly singular integral equation
Autor: Hamza Guebbai, Laurence Grammont
Publikováno v: Applied Mathematics and Computation. 230:414-427
In order to compute an approximate solution of a weakly singular integral equation, we first regularize the kernel and then truncate the associated Fourier series. Applications to Green and Abel operators are given.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::faacb7f3b82b2a5ed7e0002159e2e87c
https://doi.org/10.1016/j.amc.2013.12.102
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A modified iterated projection method adapted to a nonlinear integral equation
Autor: Laurence Grammont, Mario Ahues, Paulo B. Vasconcelos
Publikováno v: Applied Mathematics and Computation
Applied Mathematics and Computation, Elsevier, 2016, 276, pp.432-441. ⟨10.1016/j.amc.2015.12.019⟩
The classical way to tackle a nonlinear Fredholm integral equation of the second kind is to adapt the discretization scheme from the linear case. The Iterated projection method is a popular method since it shows, in most cases, superconvergence and i
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a32ae7a657736c7b97d38b196db8c704
https://hal.archives-ouvertes.fr/hal-02094362
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8
Generalization of the Kimeldorf-Wahba correspondence for constrained interpolation
Autor: Hassan Maatouk, Xavier Bay, Laurence Grammont
Publikováno v: Electron. J. Statist. 10, no. 1 (2016), 1580-1595
Electronic Journal of Statistics
Electronic Journal of Statistics, 2016, 10 (1), pp.1580-1595. ⟨10.1214/16-EJS1149⟩
Electronic Journal of Statistics, Shaker Heights, OH : Institute of Mathematical Statistics, 2016, 10 (1), pp.1580-1595. ⟨10.1214/16-EJS1149⟩
International audience; In this paper, we extend the correspondence between Bayes' estimation and optimal interpolation in a Reproducing Kernel Hilbert Space (RKHS) to the case of linear inequality constraints such as boundedness, monotonicity or con
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f64379c776b85c0a2cd177447762b64d
http://arxiv.org/abs/1602.02714
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9
Modified projection method for Urysohn integral equations with non-smooth kernels
Autor: T.J. Nidhin, Laurence Grammont, Rekha P. Kulkarni
Publikováno v: Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics, Elsevier, 2016, 294, pp.309-322. ⟨10.1016/j.cam.2015.08.020⟩
Consider a nonlinear operator equation x - K(x) = f, where K is a Urysohn integral operator with a Green's function type kernel. Using the orthogonal projection onto a space of discontinuous piecewise polynomials, previous authors have investigated a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc406d545eb9ebd1c32e57251b59c3ae
https://igi.indrastra.com/items/show/54245
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10
Krylov Method Revisited with an Application to the Localization of Eigenvalues
Autor: Laurence Grammont, Alain Largillier
Publikováno v: Numerical Functional Analysis and Optimization. 27:583-618
Our aim is to localize matrix eigenvalues in the sense that we build a sufficiently small neighborhood for each of them (or for a cluster), through not prohibitively expensive computations. Our results enter the framework started with Gerschgorin dis
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6c4507dbc1fe56b2e7a884c9295a9da3
https://doi.org/10.1080/01630560600657166
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