Sonia Busquier

2.0k total citations
71 papers, 1.4k citations indexed

About

Sonia Busquier is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Modeling and Simulation. According to data from OpenAlex, Sonia Busquier has authored 71 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 62 papers in Numerical Analysis, 29 papers in Computational Theory and Mathematics and 21 papers in Modeling and Simulation. Recurrent topics in Sonia Busquier's work include Iterative Methods for Nonlinear Equations (60 papers), Advanced Optimization Algorithms Research (47 papers) and Matrix Theory and Algorithms (24 papers). Sonia Busquier is often cited by papers focused on Iterative Methods for Nonlinear Equations (60 papers), Advanced Optimization Algorithms Research (47 papers) and Matrix Theory and Algorithms (24 papers). Sonia Busquier collaborates with scholars based in Spain, Chile and United States. Sonia Busquier's co-authors include Sergio Amat, Sergio Plaza, J.M. Gutiérrez, Á. Alberto Magreñán, Vicente F. Candela, M.A. Hernández, Ioannis K. Argyros, Àngela Grau, Miquel Grau-Sánchez and Eulalia Martı́nez and has published in prestigious journals such as International Journal of Environmental Research and Public Health, Journal of Mathematical Analysis and Applications and Applied Mathematics and Computation.

In The Last Decade

Sonia Busquier

67 papers receiving 1.4k citations

Peers

Sonia Busquier

CTM

J.A. Ezquerro Spain

Sunethra Weerakoon Sri Lanka

Taher Lotfi Iran

Santhosh George India

P. Jarratt United Kingdom

Prasit Cholamjiak Thailand

Yasushi Narushima Japan

Beong In Yun South Korea

William La Cruz Venezuela

César Palencia Spain

J.A. Ezquerro Spain

Sonia Busquier

1.3k ×1.0

640 ×1.0

CTM

504 ×1.2

145 ×0.6

196 ×1.4

Citations per year, relative to Sonia Busquier Sonia Busquier (= 1×) peers J.A. Ezquerro

Countries citing papers authored by Sonia Busquier

Since Specialization

Citations

This map shows the geographic impact of Sonia Busquier'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 Sonia Busquier with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Sonia Busquier more than expected).

Fields of papers citing papers by Sonia Busquier

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Sonia Busquier. 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 Sonia Busquier. The network helps show where Sonia Busquier may publish in the future.

Co-authorship network of co-authors of Sonia Busquier

This figure shows the co-authorship network connecting the top 25 collaborators of Sonia Busquier. A scholar is included among the top collaborators of Sonia Busquier 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 Sonia Busquier. Sonia Busquier 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

Manchado, Carmen, Juan Tortosa‐Martínez, Basílio Pueo, et al.. (2020). High-Performance Handball Player’s Time-Motion Analysis by Playing Positions. International Journal of Environmental Research and Public Health. 17(18). 6768–6768. 33 indexed citations

Amat, Sergio, Ioannis K. Argyros, Sonia Busquier, M.A. Hernández, & Eulalia Martı́nez. (2018). On the local convergence study for an efficient k-step iterative method. Journal of Computational and Applied Mathematics. 343. 753–761. 16 indexed citations

Amat, Sergio, Sonia Busquier, J.A. Ezquerro, & M.A. Hernández. (2015). A Steffensen type method of two steps in Banach spaces with applications. Journal of Computational and Applied Mathematics. 291. 317–331. 10 indexed citations

Amat, Sergio, et al.. (2013). Third-order methods on Riemannian manifolds under Kantorovich conditions. Journal of Computational and Applied Mathematics. 255. 106–121. 6 indexed citations

Amat, Sergio, et al.. (2012). On two families of high order Newton type methods. Applied Mathematics Letters. 25(12). 2209–2217. 32 indexed citations

Amat, Sergio, Sonia Busquier, & Sergio Plaza. (2010). Chaotic dynamics of a third-order Newton-type method. Journal of Mathematical Analysis and Applications. 366(1). 24–32. 71 indexed citations

Amat, Sergio, Sonia Busquier, & J.M. Gutiérrez. (2010). Third-order iterative methods with applications to Hammerstein equations: A unified approach. Journal of Computational and Applied Mathematics. 235(9). 2936–2943. 24 indexed citations

Amat, Sergio, et al.. (2008). A family of Halley–Chebyshev iterative schemes for non-Fréchet differentiable operators. Journal of Computational and Applied Mathematics. 228(1). 486–493. 13 indexed citations

Amat, Sergio, et al.. (2007). Lagrange interpolation for continuous piecewise smooth functions. Journal of Computational and Applied Mathematics. 221(1). 47–51. 10 indexed citations

10.

Amat, Sergio, et al.. (2007). A Steffensen's type method in Banach spaces with applications on boundary-value problems. Journal of Computational and Applied Mathematics. 216(1). 243–250. 32 indexed citations

11.

Amat, Sergio & Sonia Busquier. (2007). Third-order iterative methods under Kantorovich conditions. Journal of Mathematical Analysis and Applications. 336(1). 243–261. 48 indexed citations

12.

Amat, Sergio & Sonia Busquier. (2006). A two-step Steffensen's method under modified convergence conditions. Journal of Mathematical Analysis and Applications. 324(2). 1084–1092. 38 indexed citations

13.

Amat, Sergio, et al.. (2006). Super-attracting periodic orbits for a classical third order method. Journal of Computational and Applied Mathematics. 206(1). 599–602. 1 indexed citations

14.

Amat, Sergio, et al.. (2005). Nonlinear Harten's multiresolution on the quincunx pyramid. Journal of Computational and Applied Mathematics. 189(1-2). 555–567. 11 indexed citations

15.

Amat, Sergio & Sonia Busquier. (2005). Convergence and numerical analysis of a family of two-step steffensen's methods. Computers & Mathematics with Applications. 49(1). 13–22. 37 indexed citations

16.

Amat, Sergio, Sonia Busquier, & Sergio Plaza. (2005). A construction of attracting periodic orbits for some classical third-order iterative methods. Journal of Computational and Applied Mathematics. 189(1-2). 22–33. 31 indexed citations

17.

Amat, Sergio, Sonia Busquier, & J.M. Gutiérrez. (2005). An adaptive version of a fourth-order iterative method for quadratic equations. Journal of Computational and Applied Mathematics. 191(2). 259–268. 14 indexed citations

18.

Amat, Sergio, Sonia Busquier, & Vicente F. Candela. (2003). Third-order iterative methods without using any Fréchet derivative. Journal of Computational and Applied Mathematics. 158(1). 11–18. 6 indexed citations

19.

Amat, Sergio, Sonia Busquier, & J.M. Gutiérrez. (2003). Geometric constructions of iterative functions to solve nonlinear equations. Journal of Computational and Applied Mathematics. 157(1). 197–205. 223 indexed citations

20.

Amat, Sergio & Sonia Busquier. (2003). A modified secant method for semismooth equations. Applied Mathematics Letters. 16(6). 877–881. 13 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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