P. Vindel

483 total citations
36 papers, 355 citations indexed

About

P. Vindel is a scholar working on Numerical Analysis, Mathematical Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, P. Vindel has authored 36 papers receiving a total of 355 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Numerical Analysis, 13 papers in Mathematical Physics and 9 papers in Statistical and Nonlinear Physics. Recurrent topics in P. Vindel's work include Iterative Methods for Nonlinear Equations (21 papers), Advanced Optimization Algorithms Research (12 papers) and Mathematical Dynamics and Fractals (10 papers). P. Vindel is often cited by papers focused on Iterative Methods for Nonlinear Equations (21 papers), Advanced Optimization Algorithms Research (12 papers) and Mathematical Dynamics and Fractals (10 papers). P. Vindel collaborates with scholars based in Spain, United States and Dominican Republic. P. Vindel's co-authors include Alicia Cordero, Juan R. Torregrosa, María P. Vassileva, J. Lukierski, J. A. de Azcárraga, Á. Alberto Magreñán, Xavier Jarque and Armengol Gasull and has published in prestigious journals such as Physics Letters B, Applied Mathematics and Computation and Journal of Computational and Applied Mathematics.

In The Last Decade

P. Vindel

32 papers receiving 345 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
P. Vindel Spain	9	304	129	104	65	52	36	355
Young Hee Geum South Korea	12	381 1.3×	222 1.7×	84 0.8×	76 1.2×	42 0.8×	39	418
Sergio Plaza Chile	10	556 1.8×	242 1.9×	174 1.7×	139 2.1×	80 1.5×	30	590
Anvar Hasanov Uzbekistan	11	148 0.5×	54 0.4×	38 0.4×	23 0.4×	24 0.5×	48	305
И. И. Шарапудинов Russia	15	279 0.9×	73 0.6×	16 0.2×	14 0.2×	93 1.8×	83	639
Miquel Grau-Sánchez Spain	12	555 1.8×	347 2.7×	141 1.4×	59 0.9×	29 0.6×	28	570
M.L. Rezola Spain	12	128 0.4×	78 0.6×	52 0.5×	6 0.1×	52 1.0×	27	411
Владимир Генрихович Лысов Russia	11	63 0.2×	88 0.7×	41 0.4×	13 0.2×	57 1.1×	37	343
M. M. Rodrigues Portugal	9	121 0.4×	44 0.3×	173 1.7×	7 0.1×	34 0.7×	43	261
D. N. Tulyakov Russia	10	55 0.2×	63 0.5×	36 0.3×	11 0.2×	41 0.8×	46	295
L. R. Bragg United States	10	105 0.3×	60 0.5×	22 0.2×	8 0.1×	105 2.0×	48	310

Countries citing papers authored by P. Vindel

Since Specialization

Citations

This map shows the geographic impact of P. Vindel's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by P. Vindel with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites P. Vindel more than expected).

Fields of papers citing papers by P. Vindel

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by P. Vindel. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by P. Vindel. The network helps show where P. Vindel may publish in the future.

Co-authorship network of co-authors of P. Vindel

This figure shows the co-authorship network connecting the top 25 collaborators of P. Vindel. A scholar is included among the top collaborators of P. Vindel based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with P. Vindel. P. Vindel is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Vindel, P., et al.. (2024). Dynamical and numerical analysis of classical multiple roots finding methods applied for different multiplicities. Computational and Applied Mathematics. 43(4). 5 indexed citations

Vindel, P., et al.. (2022). Dynamics of Newton-like root finding methods. Numerical Algorithms. 93(4). 1453–1480. 16 indexed citations

Vindel, P., et al.. (2021). DYNAMICS OF A FAMILY OF RATIONAL OPERATORS OF ARBITRARY DEGREE. Mathematical Modelling and Analysis. 26(2). 188–208. 1 indexed citations

Vindel, P., et al.. (2020). Connectivity of the Julia set for the Chebyshev-Halley family on degree n polynomials. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 6 indexed citations

Vindel, P., et al.. (2020). Dynamics of subfamilies of Ostrowski–Chun methods. Mathematics and Computers in Simulation. 181. 57–81. 3 indexed citations

Vindel, P., et al.. (2017). Convergence regions for the Chebyshev–Halley family. Communications in Nonlinear Science and Numerical Simulation. 56. 508–525. 7 indexed citations

Cordero, Alicia, et al.. (2016). Stability of King’s family of iterative methods with memory. Journal of Computational and Applied Mathematics. 318. 504–514. 26 indexed citations

Jarque, Xavier, et al.. (2016). Newton method for symmetric quartic polynomial. Applied Mathematics and Computation. 290. 326–335. 1 indexed citations

Cordero, Alicia, et al.. (2015). A multidimensional dynamical approach to iterative methods with memory. Applied Mathematics and Computation. 271. 701–715. 25 indexed citations

10.

Vindel, P., et al.. (2014). Fat Handles and Phase Portraits of Non Singular Morse-Smale Flows on S ³ with Unknotted Saddle Orbits. Advanced Nonlinear Studies. 14(3). 605–617.

11.

Cordero, Alicia, et al.. (2013). Chaos in King’s iterative family. Applied Mathematics Letters. 26(8). 842–848. 102 indexed citations

12.

Cordero, Alicia, Juan R. Torregrosa, & P. Vindel. (2012). Period-doubling bifurcations in the family of Chebyshev–Halley-type methods. International Journal of Computer Mathematics. 90(10). 2061–2071. 7 indexed citations

13.

Vindel, P., et al.. (2012). Non equivalence of NMS flows on $S^{3}$. Mathematica Bohemica. 137(2). 165–173. 2 indexed citations

14.

Vindel, P., et al.. (2012). NMS Flows on S 3 with no Heteroclinic Trajectories Connecting Saddle Orbits. Journal of Dynamics and Differential Equations. 24(2). 181–196. 2 indexed citations

15.

Torregrosa, Juan R., et al.. (2010). Newton-Like Methods for Nonlinear Systems with Competitive Efficiency Indices. Civil-comp proceedings. 94. 1 indexed citations

16.

Cordero, Alicia, et al.. (2007). Round-handle decomposition ofS²×S¹. Dynamical Systems. 22(2). 179–202. 1 indexed citations

17.

Cordero, Alicia, et al.. (2004). NMS Flows on Three-Dimensional Manifolds with One Saddle Periodic Orbit. Acta Mathematica Sinica English Series. 20(1). 47–56. 8 indexed citations

18.

Vindel, P., et al.. (2000). Bifurcations of links of periodic orbits in non-singular Morse–Smale systems with a rotational symmetry on S3. Topology and its Applications. 102(3). 279–295.

19.

Vindel, P., et al.. (1997). Bifurcations of links of periodic orbits in non-singular Morse - Smale systems on. Nonlinearity. 10(5). 1339–1355. 4 indexed citations

20.

Azcárraga, J. A. de, J. Lukierski, & P. Vindel. (1987). Superfield commutators for D = 4 chiral multiplets and their apppications. Czechoslovak Journal of Physics. 37(4). 401–411. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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