Search Results - "Lamnii, M."

A new basis for osculatory interpolation problems and applications by Lamnii, A., Lamnii, M., Oumellal, F.

“…In this paper we present a polynomial basis based on two-point osculatory interpolation. By exploring some interesting properties of this basis, we derive the…”
Get full text

Local quasi-interpolants based on special multivariate quadratic spline space over a refined quadrangulation by Lamnii, M., Mraoui, H., Zidna, A.

“…In this paper, we describe the construction of a suitable normalized B-spline representation for special multivariate quadratic spline space S21,0(Δ) over a…”
Get full text

Solving the Laplace equation on the disc using the UAT spline by Naimi, M., Lamnii, M.

“…In this work, we are interested in the resolution of the Laplace equation −Δu=f with Dirichlet boundary condition in a closed surface S in R2, which is –…”
Get full text

A genetic algorithm approach based on spline quasi-interpolation for solving Fredholm integral equations by Mokhtari, F. El, Lamnii, M., Barrera, D.

“…This paper focuses on the approximation of solutions of second kind Fredholm integral equations using non-uniform spline quasi-interpolation. Our aim is to…”
Get full text

Cubic quasi-interpolation spline collocation method for solving convection–diffusion equations by Bouhiri, S., Lamnii, A., Lamnii, M.

“…In this paper, we use a cubic spline collocation method to solve a two dimensional convection–diffusion equation. More precisely, we approximate first and…”
Get full text

Quasi-interpolant operators in Bernstein basis by Bouhiri, S., Lamnii, A., Lamnii, M., Zidna, A.

“…The aim of this paper is to present a family of polynomial quasi-interpolants in Bernstein basis. More precisely, we will combine the strong features of the…”
Get full text

Computation of Hermite interpolation in terms of B-spline basis using polar forms by Lamnii, A., Lamnii, M., Oumellal, F.

“…The aim of this paper is to present an Hermite interpolation problem with B-splines of high degree of smoothness. More precisely, we use polar forms to find…”
Get full text

h-Bernstein basis functions over a triangular domain by Lamberti, P., Lamnii, M., Remogna, S., Sbibih, D.

“…•New bivariate h-Bernstein basis on a triangular domain with a shape parameter h.•Interesting algebraic and geometric properties of the h-Bernstein…”
Get full text

A C̃2 spline quasi-interpolant for fitting 3D data on the sphere and applications by Bouhiri, S., Lamnii, A., Lamnii, M., Zidna, A.

“…In this paper, a new local spline quasi-interpolant is constructed for fitting 3D data defined on a sphere-like surface S. After mapping the surface S to a…”
Get full text

Construction of quintic Powell–Sabin spline quasi-interpolants based on blossoming by Lamnii, M., Mraoui, H., Tijini, A.

“…By blossoming Marsden’s identity, we investigate local quasi-interpolation schemes forC2-continuous quintic Powell–Sabin splines represented with a normalized…”
Get full text

A normalized basis for condensed C 1 Powell–Sabin-12 splines by Lamnii, A., Lamnii, M., Mraoui, H.

Get full text

Cubic spline quasi-interpolants on Powell–Sabin partitions by Lamnii, A., Lamnii, M., Mraoui, H.

“…By using the polarization identity, we propose a family of quasi-interpolants based on bivariate C 1 cubic super splines defined on triangulations with a…”
Get full text

Constructing B-spline representation of quadratic Sibson–Thomson splines by Lamnii, A., Lamnii, M., Mraoui, H.

“…In this paper, we show how to construct a normalized B-spline basis for a special C1 continuous splines of degree 2, defined on Sibson–Thomson refinement. The…”
Get full text

Raising the approximation order of multivariate quasi-interpolants by Lamnii, M., Mazroui, A., Tijini, A.

“…Let S ( ϕ m ) be the space generated by a finite set ϕ m of continuous functions defined on a domain Ω in R s . We suppose that this space contains the space…”
Get full text

A normalized basis for condensed C1 Powell–Sabin-12 splines by Lamnii, A., Lamnii, M., Mraoui, H.

“…The purpose of this article is the construction of a normalized basis for a quadratic condensed Powell–Sabin-12 macro-element space introduced by Alfeld et al…”
Get full text

A normalized basis for cubic super spline space on Powell–Sabin triangulation by Lamnii, M., Mraoui, H., Tijini, A., Zidna, A.

Get full text

A normalized basis for C1 cubic super spline space on Powell–Sabin triangulation by Lamnii, M., Mraoui, H., Tijini, A., Zidna, A.

“…In this paper, we describe the construction of a suitable normalized B-spline representation for bivariate C1 cubic super splines defined on triangulations…”
Get full text