Papers
2020
Serial and parallel iterative splitting methods: Algorithms and applications to fractional convection-diffusion equations Journal Article
In: Mathematics, 8 (11), pp. 1-42, 2020, (cited By 0).
Domain of existence for the solution of some IVP's and BVP's by using an efficient ninth-order iterative method Journal Article
In: Mathematical Methods in the Applied Sciences, 43 (14), pp. 7934-7947, 2020, (cited By 0).
Adaptive iterative splitting methods for convection-diffusion-reaction equations Journal Article
In: Mathematics, 8 (3), 2020, (cited By 2).
An alternative analysis for the local convergence of iterative methods for multiple roots including when the multiplicity is unknown Journal Article
In: International Journal of Computer Mathematics, 97 (1-2), pp. 312-329, 2020, (cited By 0).
Convergence and dynamics of improved Chebyshev-Secant-type methods for non differentiable operators Journal Article
In: Numerical Algorithms, 2020, (cited By 0).
2019
A Ciliary Motility Index for Activity Measurement in Cell Cultures With Respiratory Syncytial Virus Journal Article
In: American Journal of Rhinology and Allergy, 33 (2), pp. 121-128, 2019, (cited By 2).
Multipoint efficient iterative methods and the dynamics of Ostrowski's method Journal Article
In: International Journal of Computer Mathematics, 96 (9), pp. 1687-1701, 2019, (cited By 0).
Local Convergence and Dynamics of a Family of Iterative Methods for Multiple Roots of Nonlinear Equations Journal Article
In: Vietnam Journal of Mathematics, 47 (2), pp. 367-386, 2019, (cited By 1).
2018
A note on “Convergence radius of Osada's method under Hölder continuous condition” Journal Article
In: Applied Mathematics and Computation, 321 , pp. 689-699, 2018, (cited By 0).
A class of efficient high-order iterative methods with memory for nonlinear equations and their dynamics Journal Article
In: Mathematical Methods in the Applied Sciences, 41 (17), pp. 7263-7282, 2018, (cited By 2).
2017
Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants Journal Article
In: Discrete Dynamics in Nature and Society, 2017 , 2017, (cited By 1).
Local convergence of a parameter based iteration with Hölder continuous derivative in Banach spaces Journal Article
In: Calcolo, 54 (2), pp. 527-539, 2017, (cited By 3).
New versions of iterative splitting methods for the momentum equation Journal Article
In: Journal of Computational and Applied Mathematics, 309 , pp. 359-370, 2017, (cited By 8).
2016
Semilocal Convergence Analysis of an Iteration of Order Five Using Recurrence Relations in Banach Spaces Journal Article
In: Mediterranean Journal of Mathematics, 13 (6), pp. 4219-4235, 2016, (cited By 6).
Local convergence of a family of iterative methods for Hammerstein equations Journal Article
In: Journal of Mathematical Chemistry, 54 (7), pp. 1370-1386, 2016, (cited By 3).
Dynamical study while searching equilibrium solutions in N-body problem Journal Article
In: Journal of Computational and Applied Mathematics, 297 , pp. 26-40, 2016, (cited By 0).
Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces Journal Article
In: Applied Mathematics and Computation, 281 , pp. 252-265, 2016, (cited By 13).
Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition Journal Article
In: Applied Mathematics and Computation, 276 , pp. 266-277, 2016, (cited By 7).
2015
Experimental study of viscous friction in undergraduate physics laboratory: Introduction of phase diagrams to analyse dynamic equilibrium Journal Article
In: European Journal of Physics, 36 (3), pp. 1-15, 2015, (cited By 0).
Video analysis of sliding chains: A dynamic model based on variable-mass systems Journal Article
In: American Journal of Physics, 83 (6), pp. 500-505, 2015, (cited By 2).
Derivative free iterative methods for nonlinear systems Journal Article
In: Applied Mathematics and Computation, 259 , pp. 955-966, 2015, (cited By 2).
Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear systems Journal Article
In: Journal of Computational and Applied Mathematics, 275 , pp. 412-420, 2015, (cited By 36).
2014
Semilocal convergence of a family of iterative methods in Banach spaces Journal Article
In: Numerical Algorithms, 67 (2), pp. 365-384, 2014, (cited By 11).
Experimental analysis of nonlinear oscillations in the undergraduate physics laboratory Journal Article
In: European Journal of Physics, 35 (1), 2014, (cited By 4).
Primary ciliary dyskinesia assessment by means of optical flow analysis of phase-contrast microscopy images Journal Article
In: Computerized Medical Imaging and Graphics, 38 (3), pp. 163-170, 2014, (cited By 6).
Efficient iterative methods for approximating multiple roots Journal Article
In: Civil-Comp Proceedings, 105 , 2014, (cited By 0).
Determination of multiple roots of nonlinear equations and applications Journal Article
In: Journal of Mathematical Chemistry, 53 (3), pp. 880-892, 2014, (cited By 30).
2013
Design and use of a learning object for finding complex polynomial roots Journal Article
In: International Journal of Mathematical Education in Science and Technology, 44 (3), pp. 365-376, 2013, (cited By 0).
A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations Journal Article
In: Journal of Computational and Applied Mathematics, 252 , pp. 95-102, 2013, (cited By 24).
Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation Journal Article
In: Mathematical and Computer Modelling, 57 (7-8), pp. 1950-1956, 2013, (cited By 17).
Some learning objects to explain Kepler's laws Journal Article
In: Computer Applications in Engineering Education, 21 (1), pp. 1-7, 2013, (cited By 1).
2012
Increasing the convergence order of an iterative method for nonlinear systems Journal Article
In: Applied Mathematics Letters, 25 (12), pp. 2369-2374, 2012, (cited By 53).
A family of derivative-free methods with high order of convergence and its application to nonsmooth equations Journal Article
In: Abstract and Applied Analysis, 2012 , 2012, (cited By 5).
A family of optimal methods for solving nonlinear equations Journal Article
In: Civil-Comp Proceedings, 100 , 2012, (cited By 0).
Using optical flow for analyzing the dynamics of the bouncing ball system Journal Article
In: Civil-Comp Proceedings, 100 , 2012, (cited By 0).
Steffensen type methods for solving nonlinear equations? Journal Article
In: Journal of Computational and Applied Mathematics, 236 (12), pp. 3058-3064, 2012, (cited By 30).
2011
Object tracking with a stereoscopic camera: Exploring the three-dimensional space Journal Article
In: European Journal of Physics, 32 (1), pp. 235-243, 2011, (cited By 4).
Efficient high-order methods based on golden ratio for nonlinear systems Journal Article
In: Applied Mathematics and Computation, 217 (9), pp. 4548-4556, 2011, (cited By 19).
Fuzzy control for obstacle detection in stereo video sequences Journal Article
In: Mathematical and Computer Modelling, 54 (7-8), pp. 1813-1817, 2011, (cited By 5).
2010
Simulation of a cubic-like Chua's oscillator with variable characteristic Journal Article
In: Mathematical and Computer Modelling, 52 (7-8), pp. 1211-1218, 2010, (cited By 3).
A family of iterative methods with sixth and seventh order convergence for nonlinear equations Journal Article
In: Mathematical and Computer Modelling, 52 (9-10), pp. 1490-1496, 2010, (cited By 22).
Iterative methods for use with nonlinear discrete algebraic models Journal Article
In: Mathematical and Computer Modelling, 52 (7-8), pp. 1251-1257, 2010, (cited By 14).
New modifications of Potra-Pták's method with optimal fourth and eighth orders of convergence Journal Article
In: Journal of Computational and Applied Mathematics, 234 (10), pp. 2969-2976, 2010, (cited By 49).
Efficient three-step iterative methods with sixth order convergence for nonlinear equations Journal Article
In: Numerical Algorithms, 53 (4), pp. 485-495, 2010, (cited By 17).
Accelerated methods of order 2 p for systems of nonlinear equations Journal Article
In: Journal of Computational and Applied Mathematics, 233 (10), pp. 2696-2702, 2010, (cited By 12).
A modified Newton-Jarratt's composition Journal Article
In: Numerical Algorithms, 55 (1), pp. 87-99, 2010, (cited By 137).
2009
Third order iterative methods free from second derivative for nonlinear systems Journal Article
In: Applied Mathematics and Computation, 215 (1), pp. 58-65, 2009, (cited By 2).
Third and fourth order iterative methods free from second derivative for nonlinear systems Journal Article
In: Applied Mathematics and Computation, 211 (1), pp. 190-197, 2009, (cited By 12).
Neoclassical growth, environment and technological change: The environmental Kuznets curve Journal Article
In: Energy Journal, 30 (SPECIAL ISSUE 2), pp. 143-168, 2009, (cited By 3).
Multi-point iterative methods for systems of nonlinear equations Journal Article
In: Lecture Notes in Control and Information Sciences, 389 , pp. 259-267, 2009, (cited By 4).
Conferences
2018
Local convergence study for multiple roots. Estimating the multiplicity Conference
1978 , 2018, (cited By 0).
2013
Ciliary motility activity measurement using a dense optical flow algorithm Conference
2013, (cited By 1).
2012
2011
Accelerated Steffensen-type methods for solving nonlinear systems of equations Conference
1389 , 2011, (cited By 0).
Optimal derivative-free methods for solving nonlinear equations Conference
1389 , 2011, (cited By 0).
2010
Iterative processes with high order of convergence for nonlinear systems Conference
2010, (cited By 0).
Newton-like methods for nonlinear systems with competitive efficiency indices Conference
2010, (cited By 0).
2008
A numerical study of Newton-like methods for nonlinear systems with a singular jacobian Conference
2008, (cited By 0).
1991
A systolic algorithm for the triangular Stein equation Conference
1991, (cited By 1).