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Your search keyword '"Kouibia, A."' showing total 7 results
Start Over Author "Kouibia, A." Journal numerical algorithms
7 results on '"Kouibia, A."'

2. A variational method for solving two-dimensional Bratu’s problem

Author

R. Akhrif, Miguel Pasadas, and A. Kouibia

Subjects
Spline (mathematics), Variational method, Applied Mathematics, Numerical analysis, Theory of computation, Applied mathematics, Boundary value problem, Linear combination, Mathematics
Abstract

In this paper, we propose a variational method in order to solve Bratu’s problem for two dimensions in an adequate space of biquadratic spline functions. The solution is obtained by resolving a sequence of boundary value problems. We study some characterizations of the functions of such sequence and we express them as some linear combination of biquadratic spline bases functions. We finish by showing some numerical and graphical examples in order to prove the validity and the effectiveness of our method.

Published
2020

5. [Untitled]

Author

A. Kouibia, Juan José Torrens, and Miguel Pasadas

Subjects
Discrete mathematics, Offset (computer science), Applied Mathematics, Bounded function, Numerical analysis, Theory of computation, Reference surface, Applied mathematics, Parameterized complexity, Smoothing, ComputingMethodologies_COMPUTERGRAPHICS, Mathematics
Abstract

In this paper we define the notion of pseudo-parallel parameterized surfaces, extending that of offset surfaces. Then we consider the problem of fitting a set of scattered points with a surface pseudo-parallel to a given reference surface. We propose a method of solution based on a modified version of the classical smoothing D m -splines over a bounded domain. The convergence of the method is established and some numerical examples are given.

Published
2003

6. Construction of ODE Curves.

Author

A. Kouibia, M. Pasadas, and M.L. Rodríguez

Abstract

This paper deals with a construction problem of free-form curves from data constituted by some approximation points and a boundary value problem for an ordinary differential equation (ODE). The solution of this problem is called an ODE curve. We discretize the problem in a space of B-spline functions. Finally, we analyze a graphical example in order to illustrate the validity and effectiveness of our method. [ABSTRACT FROM AUTHOR]

Published
2003

7. Construction of Surfaces with Parallelism Conditions.

Author

A. Kouibia, M. Pasadas, and J.J. Torrens

Abstract

In this paper we define the notion of pseudo-parallel parameterized surfaces, extending that of offset surfaces. Then we consider the problem of fitting a set of scattered points with a surface pseudo-parallel to a given reference surface. We propose a method of solution based on a modified version of the classical smoothing Dm-splines over a bounded domain. The convergence of the method is established and some numerical examples are given. [ABSTRACT FROM AUTHOR]

Published
2003

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