María José Ibáñez
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
María José Ibáñez has a total of 57 co-authors. Here are the top co-authors by number of shared publications:
- Domingo Barrera
Department of Applied Mathematics and Institute of Mathematics (IMAG) University of Granada 18071 Granada Spain
30 shared publications - Salah Eddargani
University of Rome Tor Vergata
7 shared publications - Sara Remogna
Department of Mathematics “G. Peano”, University of Torino, via Carlo Alberto 10, 10123 Torino, Italy
6 shared publications - Driss Sbibih
Univ Mohammed 1, LANO Lab, FSO, Oujda, Morocco
5 shared publications A. Guessab
4 shared publications- Abdellah Lamnii
Abdelmalek Essaadi University
4 shared publications
Latest Publications
- Open Access
Multinode Shepard Functions and Tensor Product Polynomial Interpolation: Applications to Digital Elevation Models
The paper presents an in-depth exploration of the multinode Shepard interpolant on a regular rectangular grid, demonstrating its efficacy in reconstructing surfaces from DEM data. Additionally, we study the approximation order associated to this interpolant and present a detailed algorithm for reconstructing surfaces. Numerical tests showcase the effectiveness of the proposed algorithm.
Open AccessMultinode Shepard Functions and Tensor Product Polynomial Interpolation: Applications to Digital Elevation Models
The paper presents an in-depth exploration of the multinode Shepard interpolant on a regular rectangular grid, demonstrating its efficacy in reconstructing surfaces from DEM data. Additionally, we study the approximation order associated to this interpolant and present a detailed algorithm for reconstructing surfaces. Numerical tests showcase the effectiveness of the proposed algorithm.
- 23 December 2024
- Published by Springer Nature
- p. 71-83
Construction of 2D Explicit Cubic Quasi-Interpolating Splines in Bernstein-Bézier Form
- 23 December 2024
- Published by Springer Nature
- p. 71-83
Construction of 2D Explicit Cubic Quasi-Interpolating Splines in Bernstein-Bézier Form
- Open Access
- 28 October 2024
- Published by Elsevier in Applied Mathematics Letters
- Vol. 160
Local -smooth spline quasi-interpolation methods- 28 October 2024
- Published by Elsevier in Applied Mathematics Letters
- Vol. 160
Open AccessLocal -smooth spline quasi-interpolation methods - 13 May 2024
- Published by Elsevier in Mathematics and Computers in Simulation
- Vol. 225, 98-110
Normalized B-spline-like representation for low-degree Hermite osculatory interpolation problems
- 13 May 2024
- Published by Elsevier in Mathematics and Computers in Simulation
- Vol. 225, 98-110
Normalized B-spline-like representation for low-degree Hermite osculatory interpolation problems
- Open Access
Normalized B-spline-like representation for low-degree Hermite osculatory interpolation problems
This paper deals with Hermite osculatory interpolating splines. For a partition of a real interval endowed with a refinement consisting in dividing each subinterval into two small subintervals, we consider a space of smooth splines with additional smoothness at the vertices of the initial partition, and of the lowest possible degree. A normalized B-spline-like representation for the considered spline space is provided. In addition, several quasi-interpolation operators based on blossoming and control polynomials have also been developed. Some numerical tests are presented and compared with some recent works to illustrate the performance of the proposed approach.
Open AccessNormalized B-spline-like representation for low-degree Hermite osculatory interpolation problems
This paper deals with Hermite osculatory interpolating splines. For a partition of a real interval endowed with a refinement consisting in dividing each subinterval into two small subintervals, we consider a space of smooth splines with additional smoothness at the vertices of the initial partition, and of the lowest possible degree. A normalized B-spline-like representation for the considered spline space is provided. In addition, several quasi-interpolation operators based on blossoming and control polynomials have also been developed. Some numerical tests are presented and compared with some recent works to illustrate the performance of the proposed approach.
- 12 June 2023
- Published by Elsevier in Applied Mathematics and Computation
- Vol. 457
Low-degree spline quasi-interpolants in the Bernstein basis
- 12 June 2023
- Published by Elsevier in Applied Mathematics and Computation
- Vol. 457
Low-degree spline quasi-interpolants in the Bernstein basis
- Open Access
- 31 July 2022
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 46 (2) , 1687-1698
Spline quasi‐interpolation in the Bernstein basis and its application to digital elevation models
A nonstandard low‐cost spline approximation method for approximating bivariate functions is constructed. It is applied for Digital Elevation approximation and then its accuracy in the downscaling process is studied.
- 31 July 2022
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 46 (2) , 1687-1698
Open AccessSpline quasi‐interpolation in the Bernstein basis and its application to digital elevation models
A nonstandard low‐cost spline approximation method for approximating bivariate functions is constructed. It is applied for Digital Elevation approximation and then its accuracy in the downscaling process is studied.
- 23 January 2022
- Published by Springer Nature
- p. 85-104
A Progressive Construction of Univariate Spline Quasi-Interpolants on Uniform Partitions
- 23 January 2022
- Published by Springer Nature
- p. 85-104
A Progressive Construction of Univariate Spline Quasi-Interpolants on Uniform Partitions
- Open Access
- 16 September 2021
- Published by MDPI AG in Mathematics
- Vol. 9 (18) , 2276
Quasi-Interpolation in a Space of C2 Sextic Splines over Powell–Sabin Triangulations
In this work, we study quasi-interpolation in a space of sextic splines defined over Powell–Sabin triangulations. These spline functions are of class on the whole domain but fourth-order regularity is required at vertices and regularity is imposed across the edges of the refined triangulation and also at the interior point chosen to define the refinement. An algorithm is proposed to define the Powell–Sabin triangles with a small area and diameter needed to construct a normalized basis. Quasi-interpolation operators which reproduce sextic polynomials are constructed after deriving Marsden’s identity from a more explicit version of the control polynomials introduced some years ago in the literature. Finally, some tests show the good performance of these operators.- 16 September 2021
- Published by MDPI AG in Mathematics
- Vol. 9 (18) , 2276
Open AccessQuasi-Interpolation in a Space of C2 Sextic Splines over Powell–Sabin Triangulations
In this work, we study quasi-interpolation in a space of sextic splines defined over Powell–Sabin triangulations. These spline functions are of class on the whole domain but fourth-order regularity is required at vertices and regularity is imposed across the edges of the refined triangulation and also at the interior point chosen to define the refinement. An algorithm is proposed to define the Powell–Sabin triangles with a small area and diameter needed to construct a normalized basis. Quasi-interpolation operators which reproduce sextic polynomials are constructed after deriving Marsden’s identity from a more explicit version of the control polynomials introduced some years ago in the literature. Finally, some tests show the good performance of these operators. - Open Access
- 4 September 2021
- Published by MDPI AG in Mathematics
- Vol. 9 (17) , 2159
Non-Uniform Spline Quasi-Interpolation to Extract the Series Resistance in Resistive Switching Memristors for Compact Modeling Purposes
An advanced new methodology is presented to improve parameter extraction in resistive memories. The series resistance and some other parameters in resistive memories are obtained, making use of a two-stage algorithm, where the second one is based on quasi-interpolation on non-uniform partitions. The use of this latter advanced mathematical technique provides a numerically robust procedure, and in this manuscript, we focus on it. The series resistance, an essential parameter to characterize the circuit operation of resistive memories, is extracted from experimental curves measured in devices based on hafnium oxide as their dielectric layer. The experimental curves are highly non-linear, due to the underlying physics controlling the device operation, so that a stable numerical procedure is needed. The results also allow promising expectations in the massive extraction of new parameters that can help in the characterization of the electrical device behavior.
- 4 September 2021
- Published by MDPI AG in Mathematics
- Vol. 9 (17) , 2159
Open AccessNon-Uniform Spline Quasi-Interpolation to Extract the Series Resistance in Resistive Switching Memristors for Compact Modeling Purposes
An advanced new methodology is presented to improve parameter extraction in resistive memories. The series resistance and some other parameters in resistive memories are obtained, making use of a two-stage algorithm, where the second one is based on quasi-interpolation on non-uniform partitions. The use of this latter advanced mathematical technique provides a numerically robust procedure, and in this manuscript, we focus on it. The series resistance, an essential parameter to characterize the circuit operation of resistive memories, is extracted from experimental curves measured in devices based on hafnium oxide as their dielectric layer. The experimental curves are highly non-linear, due to the underlying physics controlling the device operation, so that a stable numerical procedure is needed. The results also allow promising expectations in the massive extraction of new parameters that can help in the characterization of the electrical device behavior.