Výsledky vyhledávání - "Marie-Laurence Mazure"

Geometrically continuous piecewise Chebyshevian NU(R)BS

Autor: Marie-Laurence Mazure

Publikováno v: BIT Numerical Mathematics
BIT Numerical Mathematics, 2020, 60, pp.687-714. ⟨10.1007/s10543-019-00795-y⟩
BIT Numerical Mathematics, Springer Verlag, 2020, 60, pp.687-714. ⟨10.1007/s10543-019-00795-y⟩

International audience; By piecewise Chebyshevian splines we mean splines with pieces taken from different Extended Chebyshev spaces all of the same dimension, and with connection matrices at the knots. Within this very large and crucial class of spl

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6022d375929bd7c55498b9482fd9cfdb
https://doi.org/10.1007/s10543-019-00795-y

Zobrazit plný text záznamu

Blossoming and Hermite-Padé Approximation for Hypergeometric Series

Autor: Marie-Laurence Mazure, Rachid Ait-Haddou

Publikováno v: Numerical Algorithms
Numerical Algorithms, Springer Verlag, 2021, 88, pp.1183-1214. ⟨10.1007/s11075-021-01071-3⟩
Numerical Algorithms, 2021, 88, pp.1183-1214. ⟨10.1007/s11075-021-01071-3⟩

International audience; Based on the blossoming theory, in this work we develop a new method for deriving Hermite-Padé approximants of certain hypergeometric series. Its general principle consists in building identities generalising the Hermite iden

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8432429b03d9d3b1541fed6aae0f9d55
https://hal.archives-ouvertes.fr/hal-02996917/file/RMLPade.pdf

Zobrazit plný text záznamu

Quantum Lorentz Degrees of Polynomials and a Pólya Theorem for Polynomials Positive on q-Lattices

Autor: Marie-Laurence Mazure, Ron Goldman, Rachid Ait-Haddou

Publikováno v: Applied Numerical Mathematics
Applied Numerical Mathematics, Elsevier, 2021, 165, pp.553-577. ⟨10.1016/j.apnum.2021.03.009⟩
Applied Numerical Mathematics, 2021, 165, pp.553-577. ⟨10.1016/j.apnum.2021.03.009⟩

We establish the uniform convergence of the control polygons generated by repeated degree elevation of q-Bezier curves (i.e., polynomial curves represented in the q-Bernstein bases of increasing degrees) on [ 0 , 1 ] , q > 1 , to a piecewise linear c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f7f24139cc1f9a3eb2d9253b0e7eb3e
https://hal.archives-ouvertes.fr/hal-03040560

Zobrazit plný text záznamu

Dimension elevation is not always corner-cutting

Autor: Marie-Laurence Mazure, Carolina Vittoria Beccari, Giulio Casciola

Publikováno v: Applied Mathematics Letters
Applied Mathematics Letters, Elsevier, 2020, 109, pp.106529. ⟨10.1016/j.aml.2020.106529⟩
Applied Mathematics Letters, 2020, 109, pp.106529. ⟨10.1016/j.aml.2020.106529⟩

International audience; Degree elevation is a typical corner-cutting algorithm. It refers to the process transforming control polygons when embedding a polynomial space of some degree into any polynomial space of higher degree.Dimension elevation sim

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3b2e958ae690b931f595fcc8b253de7
https://hal.archives-ouvertes.fr/hal-02482422

Zobrazit plný text záznamu

Interpolation of G1 Hermite data by C1 cubic-like sparse Pythagorean hodograph splines

Autor: Marie-Laurence Mazure, Rachid Ait-Haddou, Carolina Vittoria Beccari

Publikováno v: Computer Aided Geometric Design
Computer Aided Geometric Design, Elsevier, 2020, 79, pp.101838. ⟨10.1016/j.cagd.2020.101838⟩
Computer Aided Geometric Design, 2020, 79, pp.101838. ⟨10.1016/j.cagd.2020.101838⟩

Provided that they are in appropriate configurations (tight data), given planar G 1 Hermite data generate a unique cubic Pythagorean hodograph (PH) spline curve interpolant. On a given associated knot-vector, the corresponding spline function cannot

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f797cd59b201771ca72303f163b15aa5
https://hal.archives-ouvertes.fr/hal-02358014

Zobrazit plný text záznamu

Constructing totally positive piecewise Chebyshevian B-spline bases

Autor: Marie-Laurence Mazure

Publikováno v: Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics, Elsevier, 2018, 342, pp.550-586. ⟨10.1016/j.cam.2018.03.032⟩
Journal of Computational and Applied Mathematics, 2018, 342, pp.550-586. ⟨10.1016/j.cam.2018.03.032⟩

We consider piecewise Chebyshevian splines, in the sense of splines with pieces taken from any different five-dimensional Extended Chebyshev spaces, and with connection matrices at the knots. In this large context we establish necessary and sufficien

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17e776c30c6567b5184f9ea718e4f1df
https://doi.org/10.1016/j.cam.2018.03.032

Zobrazit plný text záznamu

Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials

Autor: Hermann Render, Rachid Ait-Haddou, Marie-Laurence Mazure

Publikováno v: Journal of Approximation Theory
Journal of Approximation Theory, 2018, 234, pp.20-50. ⟨10.1016/j.jat.2018.04.010⟩
Journal of Approximation Theory, Elsevier, 2018, 234, pp.20-50. ⟨10.1016/j.jat.2018.04.010⟩

à paraître; International audience; On a given closed bounded interval, an infinite nested sequence of Extended Chebyshev spaces containing the constants automatically generates an infinite sequence of positive linear operators of Bernstein-type. U

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0009e79cb252cf22125b269cea86d726
https://doi.org/10.1016/j.jat.2018.04.010

Zobrazit plný text záznamu

Piecewise Chebyshevian splines: interpolation versus design

Autor: Marie-Laurence Mazure

Publikováno v: Numerical Algorithms
Numerical Algorithms, Springer Verlag, 2018, 77 (4), pp.1213-1247. ⟨10.1007/s11075-017-0360-7⟩
Numerical Algorithms, 2018, 77 (4), pp.1213-1247. ⟨10.1007/s11075-017-0360-7⟩

International audience; We consider the wide class of all piecewise Chebyshevian splines with connection matricesat the knots. We prove that a spline space of this class is “good for interpolation” if and only ifthe spline space obtained by integ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3190af6810833ea1968ee8e69615d560
https://doi.org/10.1007/s11075-017-0360-7

Zobrazit plný text záznamu

A Remarkable Wronskian with Application to Critical Lengths of Cycloidal Spaces

Autor: Marie-Laurence Mazure, Helmut Ruhland, Rachid Ait-Haddou

Publikováno v: Calcolo
Calcolo, Springer Verlag, 2019, 56 (4), ⟨10.1007/s10092-019-0343-2⟩
Calcolo, 2019, 56 (4), ⟨10.1007/s10092-019-0343-2⟩

International audience; Recently, Carnicer et al. (Calcolo 54(4):1521–1531, 2017) proved the very elegant and surprising fact that half of the critical length of a cycloidal space coincides with the first positive zero of a spherical Bessel functio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8936bd25566ad1a7499d526e83b33b0
https://hal.archives-ouvertes.fr/hal-02305316

Zobrazit plný text záznamu

Critical length: an alternative approach

Autor: Marie-Laurence Mazure, Carolina Vittoria Beccari, Giulio Casciola

Publikováno v: Curves and Surfaces
Curves and Surfaces, Jun 2018, Arcachon, France
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics, Elsevier, 2020, 370, pp.112603. ⟨10.1016/j.cam.2019.112603⟩
Journal of Computational and Applied Mathematics, 2020, 370, pp.112603. ⟨10.1016/j.cam.2019.112603⟩

International audience; We provide a numerical method to determine the critical lengths of linear differential operators with constant real coefficients. The need for such a procedure arises when the orders increase. The interest of this article is c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8bd4b8f2e9c68debef914c7fb4333a6d
http://arxiv.org/abs/1904.09253

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání