Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Chkifa, Abdellah"'
Autor:
Chkifa, Abdellah, Dolbeault, Matthieu
In approximation of functions based on point values, least-squares methods provide more stability than interpolation, at the expense of increasing the sampling budget. We show that near-optimal approximation error can nevertheless be achieved, in an
Externí odkaz:
http://arxiv.org/abs/2306.07435
This work proposes and analyzes a compressed sensing approach to polynomial approximation of complex-valued functions in high dimensions. Of particular interest is the setting where the target function is smooth, characterized by a rapidly decaying o
Externí odkaz:
http://arxiv.org/abs/1602.05823
Autor:
Chkifa, Abdellah
In the papers [6, 7] we have established linear and quadratic bounds, in $k$, on the growth of the Lebesgue constants associated with the $k$-sections of Leja sequences on the unit disc $\mathcal{U}$ and $\Re$-Leja sequences obtained from the latter
Externí odkaz:
http://arxiv.org/abs/1503.01731
Publikováno v:
Mathematics of Computation, 2018 May 01. 87(311), 1415-1450.
Externí odkaz:
https://www.jstor.org/stable/90019418
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 48, Pp 248-261 (2015)
The performances of two multivariate interpolation procedures are compared using functions that are either synthetic or coming from a shape optimization problem in aerodynamics. The aim is to evaluate the efficiency of adaptive sparse interpolation
Externí odkaz:
https://doaj.org/article/bdfac317a9f644e5afb3f962040b9678
Publikováno v:
In Computer Aided Chemical Engineering 2018 43:229-234
Autor:
CHKIFA, ABDELLAH1 chkifa@ann.jussieu.fr, COHEN, ALBERT1 cohen@ann.jussieu.fr, MIGLIORATI, GIOVANNI2 giovanni.migliorati@epfl.ch, NOBILE, FABIO2 fabio.nobile@epfl.ch, TEMPONE, RAUL3 raul.tempone@kaust.edu.sa
Publikováno v:
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). May2015, Vol. 49 Issue 3, p815-837. 23p.
Autor:
Chkifa, Abdellah chkifa@ann.jussieu.fr, Cohen, Albert cohen@ann.jussieu.fr, Schwab, Christoph1 schwab@math.ethz.ch
Publikováno v:
Foundations of Computational Mathematics. Aug2014, Vol. 14 Issue 4, p601-633. 33p.
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2013, 47 (1), pp.253-280
ESAIM: Mathematical Modelling and Numerical Analysis, 2013, 47 (1), pp.253-280
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2013, 47 (1), pp.253-280
ESAIM: Mathematical Modelling and Numerical Analysis, 2013, 47 (1), pp.253-280
International audience
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::b9a5a4e471d93a2bd972c2040ea53d4d
https://hal.archives-ouvertes.fr/hal-01432951
https://hal.archives-ouvertes.fr/hal-01432951
Publikováno v:
SAM Research Report, 2013-25
The numerical approximation of parametric partial differential equations $D(u,y)$ =0 is a computational challenge when the dimension $d$ of the parameter vector $y$ is large, due to the so-called $curse$ $of$ $dimensionality$. It was recently shown i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::feeff36313a6e77134790471d89c8e56