ASSOCIATE PROFESSOR
María P. Vassileva
María Penkova Vassielva has a Bachelor in Mechanical Engineering. She also holds a PhD in Mathematics (2011, Universitat Politècnica de València) with her Thesis “Métodos iterativos para resolución de sistemas de ecuaciones no lineales” supervised by Alicia Cordero and Juan R. Torregrosa.
She currently serves as Associate Professor at Technology Institute of Santo Domingo, DO.

Publications
2025
Maximally efficient damped composed Newton-type methods to solve nonlinear systems of equations Journal Article
In: Applied Mathematics and Computation, vol. 492, 2025.
2024
Increasing in three units the order of convergence of iterative methods for solving nonlinear systems Journal Article
In: Mathematics and Computers in Simulation, vol. 223, pp. 509 – 522, 2024.
A highly efficient class of optimal fourth-order methods for solving nonlinear systems Journal Article
In: Numerical Algorithms, vol. 95, no. 4, pp. 1879 – 1904, 2024.
High-efficiency implicit scheme for solving first-order partial differential equations Journal Article
In: Results in Applied Mathematics, vol. 24, 2024.
Inverse matrix estimations by iterative methods with weight functions and their stability analysis Journal Article
In: Applied Mathematics Letters, vol. 155, 2024.
Stability Analysis of a New Fourth-Order Optimal Iterative Scheme for Nonlinear Equations Journal Article
In: Axioms, vol. 13, no. 1, 2024, ISSN: 2075-1680.
2023
In: Mathematics, vol. 11, no. 20, 2023.
Derivative-Free Conformable Iterative Methods for Solving Nonlinear Equations Journal Article
In: Fractal and Fractional, vol. 7, no. 8, 2023.
Fractal Complexity of a New Biparametric Family of Fourth Optimal Order Based on the Ermakov–Kalitkin Scheme Journal Article
In: Fractal and Fractional, vol. 7, no. 6, 2023.
Generalized conformable fractional Newton-type method for solving nonlinear systems Journal Article
In: Numerical Algorithms, vol. 93, no. 3, pp. 1171 – 1208, 2023.
Improving Newton–Schulz Method for Approximating Matrix Generalized Inverse by Using Schemes with Memory Journal Article
In: Mathematics, vol. 11, no. 14, 2023.
Solving Nonlinear Transcendental Equations by Iterative Methods with Conformable Derivatives: A General Approach Journal Article
In: Mathematics, vol. 11, no. 11, 2023.
2022
An optimal and low computational cost fractional Newton-type method for solving nonlinear equations Journal Article
In: Applied Mathematics Letters, vol. 124, 2022.
Iterative processes with fractional derivatives Book Chapter
In: Radwan, Ahmed G.; Khanday, Farooq Ahmad; Said, Lobna A. (Ed.): 2022, ISBN: 978-0-323-90089-8, (Publication Title: Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control).
2021
Semilocal convergence of the extension of chun’s method Journal Article
In: Axioms, vol. 10, no. 3, 2021.
2020
Generalized inverses estimations by means of iterative methods with memory Journal Article
In: Mathematics, vol. 8, no. 1, 2020.
2019
Iterative methods with memory for solving systems of nonlinear equations using a second order approximation Journal Article
In: Mathematics, vol. 7, no. 11, 2019.
Stability anomalies of some jacobian-free iterative methods of high order of convergence Journal Article
In: Axioms, vol. 8, no. 2, 2019.
Multidimensional Real Dynamics for High-Order Processes Journal Article
In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11386 LNCS, pp. 201 – 207, 2019.
Bi-parametric Family of Methods with Memory Based of Ostrowski-Chun Method Journal Article
In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11386 LNCS, pp. 208 – 215, 2019.
2017
2017, (Publication Title: Mathematical Research Summaries).
King-type derivative-free iterative families: Real and memory dynamics Journal Article
In: Complexity, vol. 2017, 2017.
Design and multidimensional extension of iterative methods for solving nonlinear problems Journal Article
In: Applied Mathematics and Computation, vol. 293, pp. 194 – 203, 2017.
A family of parametric schemes of arbitrary even order for solving nonlinear models: CMMSE2016 Journal Article
In: Journal of Mathematical Chemistry, vol. 55, no. 7, pp. 1443 – 1460, 2017.
Multidimensional stability analysis of a family of biparametric iterative methods: CMMSE2016 Journal Article
In: Journal of Mathematical Chemistry, vol. 55, no. 7, pp. 1461 – 1480, 2017.
Stability of a fourth order bi-parametric family of iterative methods Journal Article
In: Journal of Computational and Applied Mathematics, vol. 312, pp. 94 – 102, 2017.
2016
Weighted Gaussian correction of Newton-type methods for solving nonlinear systems Journal Article
In: Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, vol. 59, no. 1, pp. 23 – 38, 2016.
2015
Erratum to: Solving nonlinear problems by Ostrowski–Chun type parametric families [J Math Chem, (2015), 53, 430-449, 10.1007/s10910-014-0432-z] Journal Article
In: Journal of Mathematical Chemistry, vol. 53, no. 4, pp. 1191 – 1192, 2015.
Solving nonlinear problems by Ostrowski–Chun type parametric families Journal Article
In: Journal of Mathematical Chemistry, vol. 53, no. 1, pp. 430 – 449, 2015.
Two weighted eight-order classes of iterative root-finding methods Journal Article
In: International Journal of Computer Mathematics, vol. 92, no. 9, pp. 1790 – 1805, 2015.
Design of high-order iterative methods for nonlinear systems by using weight function procedure Journal Article
In: Abstract and Applied Analysis, vol. 2015, 2015.
Multidimensional generalization of iterative methods for solving nonlinear problems by means of weight-function procedure Journal Article
In: Applied Mathematics and Computation, vol. 268, pp. 1064 – 1071, 2015.
2014
2014, (Publication Title: Mathematical Modeling in Social Sciences and Engineering).
Some iterative methods for solving nonlinear matrix equations Journal Article
In: Civil-Comp Proceedings, vol. 105, 2014.
Optimal high-order methods for solving nonlinear equations Journal Article
In: Journal of Applied Mathematics, vol. 2014, 2014.
2013
Increasing the order of convergence of iterative schemes for solving nonlinear systems Journal Article
In: Journal of Computational and Applied Mathematics, vol. 252, pp. 86 – 94, 2013.
New family of iterative methods with high order of convergence for solving nonlinear systems Journal Article
In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 8236 LNCS, pp. 222 – 230, 2013.
Chaos in King's iterative family Journal Article
In: Applied Mathematics Letters, vol. 26, no. 8, pp. 842 – 848, 2013.
2012
New predictor-corrector methods with high efficiency for solving nonlinear systems Journal Article
In: Journal of Applied Mathematics, vol. 2012, 2012.
Artificial satellites preliminary orbit determination by the modified high-order Gauss method Journal Article
In: International Journal of Computer Mathematics, vol. 89, no. 3, pp. 347 – 356, 2012.
Pseudocomposition: A technique to design predictor-corrector methods for systems of nonlinear equations Journal Article
In: Applied Mathematics and Computation, vol. 218, no. 23, pp. 11496 – 11504, 2012.
2011
A family of modified Ostrowski's methods with optimal eighth order of convergence Journal Article
In: Applied Mathematics Letters, vol. 24, no. 12, pp. 2082 – 2086, 2011.
Three-step iterative methods with optimal eighth-order convergence Journal Article
In: Journal of Computational and Applied Mathematics, vol. 235, no. 10, pp. 3189 – 3194, 2011.