FULL PROFESSOR
Francisco I. Chicharro
Francisco I. Chicharro is Bachelor in Telecommunications Engineering (2011, Universitat Politècnica de València), MSC in Telecommunication Technologies, Systems and Networks (2014, Universitat Politècnica de València).
He obtained the PhD in Mathematics (2017, Universitat Politècnica de València) defending the PhD Thesis “Análisis dinámico y aplicaciones de métodos iterativos de resolución de ecuaciones no lineales”, and the PhD in Telecommunications (2018, Universitat Politècnica de València) defending the PhD Thesis “Técnicas ópticas de transmisión avanzadas para redes OOFDM-WDM”.
He is Associate Professor of Applied Mathematics and Vice-Director of the Institute for Multidisciplinary Mathematics of the Polytechnical University of València.

Publications
2025
A convergent and stable fourth-order iterative procedure based on Kung-Traub conjecture for nonlinear systems Journal Article
In: vol. 214, pp. 54 – 79, 2025.
Secant-Type Iterative Classes for Nonlinear Equations with Multiple Roots Journal Article
In: vol. 18, no. 9, 2025.
Generalizing Traub's method to a parametric iterative class for solving multidimensional nonlinear problems Journal Article
In: vol. 48, no. 7, pp. 7861 – 7874, 2025.
2024
A modified two-step optimal iterative method for solving nonlinear models in one and higher dimensions Journal Article
In: Mathematics and Computers in Simulation, vol. 229, pp. 448-467, 2024.
A Hybrid Jarratt-Particle Swarm Optimization Algorithm for Nonlinear Problems and Applications Conference
Mathematical Modelling in Engineering & Human Behaviour 2024, 2024, ISBN: 978-84-09-63274-9.
An optimal scheme for finding multiple roots free of derivatives Conference
Mathematical Modelling in Engineering & Human Behaviour 2024, 2024, ISBN: 978-84-09-57681-4.
Dynamical study of a family for solving nonlinear equations with multiple roots Conference
Mathematical Modelling in Engineering & Human Behaviour 2024, 2024, ISBN: 978-84-09-57681-4.
Reduction of execution time in the generation of dynamical planes from iterative methods Conference
24th International Conference on Computational and Mathematical Methods in Science and Engineering, 2024.
Achieving Optimal Order in a Novel Family of Numerical Methods: Insights from Convergence and Dynamical Analysis Results Journal Article
In: Axioms, vol. 13, iss. 7, pp. 458, 2024.
A New Optimal Numerical Root-Solver for Solving Systems of Nonlinear Equations Using Local, Semi-Local, and Stability Analysis Journal Article
In: Axioms , vol. 13, iss. 6, pp. 341, 2024.
A Class of Efficient Sixth-Order Iterative Methods for Solving the Nonlinear Shear Model of a Reinforced Concrete Beam Journal Article
In: Mathematics, vol. 12, no. 3, 2024.
2023
Performance of a New Sixth-Order Class of Iterative Schemes for Solving Non-Linear Systems of Equations Journal Article
In: Mathematics, vol. 11, no. 6, 2023.
Parametric Iterative Method for Addressing an Embedded-Steel Constitutive Model with Multiple Roots Journal Article
In: Mathematics, vol. 11, no. 15, 2023.
Family of fourth-order optimal classes for solving multiple-root nonlinear equations Journal Article
In: vol. 61, no. 4, pp. 736 – 760, 2023.
A Seventh Order Family of Jarratt Type Iterative Method for Electrical Power Systems Journal Article
In: vol. 7, no. 4, 2023.
2022
Parametric Family of Root-Finding Iterative Methods: Fractals of the Basins of Attraction Journal Article
In: Fractal and Fractional, vol. 6, no. 10, 2022.
On the effect of the multidimensional weight functions on the stability of iterative processes Journal Article
In: Journal of Computational and Applied Mathematics, vol. 405, 2022.
2020
On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory Journal Article
In: Applied Mathematics Letters, vol. 104, 2020.
In: Journal of Mathematical Chemistry, vol. 58, no. 3, pp. 573, 2020.
Impact on stability by the use of memory in traub-type schemes Journal Article
In: Mathematics, vol. 8, no. 2, 2020.
Anomalies in the convergence of Traub-type methods with memory Journal Article
In: Computational and Mathematical Methods, vol. 2, no. 1, 2020.
On the choice of the best members of the Kim family and the improvement of its convergence Journal Article
In: Mathematical Methods in the Applied Sciences, vol. 43, no. 14, pp. 8051 – 8066, 2020.
CMMSE-2019 mean-based iterative methods for solving nonlinear chemistry problems Journal Article
In: Journal of Mathematical Chemistry, vol. 58, no. 3, pp. 555 – 572, 2020.
On the design and analysis of high-order Weerakoon-Fernando methods based on weight functions Journal Article
In: vol. 2, no. 5, 2020.
A family of multiple-root finding iterative methods based on weight functions Journal Article
In: vol. 8, no. 12, pp. 1 – 17, 2020.
2019
Dynamics of iterative families with memory based on weight functions procedure Journal Article
In: Journal of Computational and Applied Mathematics, vol. 354, pp. 286 – 298, 2019.
Stability and applicability of iterative methods with memory Journal Article
In: Journal of Mathematical Chemistry, vol. 57, no. 5, pp. 1282 – 1300, 2019.
A new efficient parametric family of iterative methods for solving nonlinear systems Journal Article
In: Journal of Difference Equations and Applications, vol. 25, no. 9-10, pp. 1454 – 1467, 2019.
Generating root-finder iterative methods of second order: Convergence and stability Journal Article
In: Axioms, vol. 8, no. 2, 2019.
Generalized high-order classes for solving nonlinear systems and their applications Journal Article
In: Mathematics, vol. 7, no. 12, 2019.
Wide stability in a new family of optimal fourth-order iterative methods Journal Article
In: Computational and Mathematical Methods, vol. 1, no. 2, 2019.
Optimal Fourth-Order Weerakoon–Fernando-Type Methods for Multiple Roots and Their Dynamics Journal Article
In: vol. 16, no. 3, 2019.
The enhancement of academic performance in online environments Journal Article
In: vol. 7, no. 12, 2019.
Design and complex dynamics of potra-pták-type optimal methods for solving nonlinear equations and its applications Journal Article
In: vol. 7, no. 10, 2019.
2018
Stability of different families of iterative methods with memory Proceedings Article
In: AIP Conference Proceedings, 2018.
High-order extension of an efficient iterative method for solving nonlinear problems Proceedings Article
In: AIP Conference Proceedings, 2018.
Bidirectional WDM-OOFDM access network based on a sliceable optical transceiver with colorless ONUs Journal Article
In: vol. 45, pp. 98 – 105, 2018.
Software assisted energy efficient and flexible wdm-pon access networks Journal Article
In: vol. 915, pp. 588 – 595, 2018.
2017
King-type derivative-free iterative families: Real and memory dynamics Journal Article
In: Complexity, vol. 2017, 2017.
Broadband Optical Sources for Low-Cost WDM-MB-OFDM Networks Journal Article
In: vol. 21, no. 8, pp. 1759 – 1762, 2017.
OOFDM Signal Transmission Using a Single Optical Broadband Source Journal Article
In: vol. 29, no. 7, pp. 563 – 566, 2017.
2016
Paired SSB optical OFDM channels for high spectral efficient signal transmission over DWDM networks Journal Article
In: vol. 370, pp. 239 – 244, 2016.
2015
Dynamics and fractal dimension of steffensen-type methods Journal Article
In: Algorithms, vol. 8, no. 2, pp. 271 – 279, 2015.
2013
Derivative-free high-order methods applied to preliminary orbit determination Journal Article
In: Mathematical and Computer Modelling, vol. 57, no. 7-8, pp. 1795 – 1799, 2013.
Drawing dynamical and parameters planes of iterative families and methods Journal Article
In: The Scientific World Journal, vol. 2013, 2013.
Local convergence and dynamical analysis of a new family of optimal fourth-order iterative methods Journal Article
In: International Journal of Computer Mathematics, vol. 90, no. 10, pp. 2049 – 2060, 2013.
Complex dynamics of derivative-free methods for nonlinear equations Journal Article
In: Applied Mathematics and Computation, vol. 219, no. 12, pp. 7023 – 7035, 2013.