Elimination ideals and Bezout relations

Autor: André Galligo, Zbigniew Jelonek

Publikováno v: Journal of Algebra
Journal of Algebra, Elsevier, 2020, 562, pp.621-626. ⟨10.1016/j.jalgebra.2020.06.022⟩
Journal of Algebra, 2020, 562, pp.621-626. ⟨10.1016/j.jalgebra.2020.06.022⟩

Let k be an infinite field and I ⊂ k [ x 1 , … , x n ] be a non-zero ideal such that dim V ( I ) = q ≥ 0 . Denote by ( f 1 , … , f s ) a set of generators of I. One can see that in the set I ∩ k [ x 1 , . . . , x q + 1 ] there exist non-zer

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1031ca0af097202cddf47f648d7517de
https://hal.archives-ouvertes.fr/hal-03138363/document

Explicit form of parametric polynomial minimal surfaces with arbitrary degree

Autor: Li Zhang, André Galligo, Gang Xu, Kin-Chuen Hui, Guozhao Wang, Yaguang Zhu

Publikováno v: Applied Mathematics and Computation. 259:124-131

In this paper, from the viewpoint of geometric modeling in CAD, we propose an explicit parametric form of a class of polynomial minimal surfaces with arbitrary degree, which includes the classical Enneper surface for the cubic case. The proposed new

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4329fb66fd41742b4641fd9ffe51890c
https://doi.org/10.1016/j.amc.2015.02.065

Hermite type Spline spaces over rectangular meshes with complex topological structures

Autor: André Galligo, Boniface Nkonga, Meng Wu, Bernard Mourrain

Publikováno v: Communications in Computational Physics
Communications in Computational Physics, 2017, 21 (3), pp.835-866. ⟨10.4208/cicp.OA-2016-0030⟩
Communications in Computational Physics, Global Science Press, 2017, 21 (3), pp.835-866. ⟨10.4208/cicp.OA-2016-0030⟩

Motivated by the magneto hydrodynamic (MHD) simulation for Tokamaks with Isogeometric analysis, we present splines defined over a rectangular mesh with a complex topological structure, i.e., with extraordinary vertices. These splines are piecewise po

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https://inria.hal.science/hal-01196428v4/file/2-paper-16-05-04.pdf

Deformation of roots of polynomials via fractional derivatives

Autor: André Galligo

Publikováno v: Journal of Symbolic Computation
Journal of Symbolic Computation, Elsevier, 2013, 52, pp.35-50. ⟨10.1016/j.jsc.2012.05.011⟩
Journal of Symbolic Computation, 2013, 52, pp.35-50. ⟨10.1016/j.jsc.2012.05.011⟩

International audience; We first recall the main features of Fractional calculus. In the expression of fractional derivatives of a real polynomial $f(x)$, we view the order of differentiation $q$ as a new indeterminate; then we define a new bivariate

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f28c7e98e39794bc2b8ef909e9bf1781
https://doi.org/10.1016/j.jsc.2012.05.011

Algebraic method for constructing singular steady solitary waves: A case study

Autor: Didier Clamond, Denys Dutykh, André Galligo

Publikováno v: Proceedings of the Royal Society of London
Proceedings of the Royal Society of London, 2016, 472 (2191), pp.20160194
Proceedings of the Royal Society of London, Royal Society, The, 2016, 472 (2191), pp.20160194

This article describes the use of algebraic methods in a phase plane analysis of ordinary differential equations. The method is illustrated by the study of capillary-gravity steady surface waves propagating in shallow water. We consider the (fully no

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::786104b56c2fdf1b0e9d5d3c094e0225
https://hal.science/hal-01290471