Ronald Cools

3.5k total citations
116 papers, 2.1k citations indexed

About

Ronald Cools is a scholar working on Numerical Analysis, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Ronald Cools has authored 116 papers receiving a total of 2.1k indexed citations (citations by other indexed papers that have themselves been cited), including 69 papers in Numerical Analysis, 41 papers in Applied Mathematics and 34 papers in Computational Theory and Mathematics. Recurrent topics in Ronald Cools's work include Mathematical Approximation and Integration (52 papers), Mathematical functions and polynomials (34 papers) and Advanced Numerical Analysis Techniques (24 papers). Ronald Cools is often cited by papers focused on Mathematical Approximation and Integration (52 papers), Mathematical functions and polynomials (34 papers) and Advanced Numerical Analysis Techniques (24 papers). Ronald Cools collaborates with scholars based in Belgium, Australia and Germany. Ronald Cools's co-authors include Dirk Nuyens, Jan Verschelde, Philip Rabinowitz, Ann Haegemans, Pierre Verlinden, Frances Y. Kuo, Dirk Van Compernolle, Joris Van Deun, Kris Demuynck and Patrick Wambacq and has published in prestigious journals such as Mathematics of Computation, Computer Physics Communications and SIAM Journal on Numerical Analysis.

In The Last Decade

Ronald Cools

107 papers receiving 1.9k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Ronald Cools Belgium	23	776	595	516	455	304	116	2.1k
Moody T. Chu United States	27	840 1.1×	426 0.7×	1.4k 2.7×	300 0.7×	202 0.7×	97	2.6k
Marc Van Barel Belgium	23	623 0.8×	419 0.7×	1.3k 2.4×	471 1.0×	355 1.2×	220	2.3k
Adhemar Bultheel Belgium	25	581 0.7×	329 0.6×	869 1.7×	1.4k 3.0×	300 1.0×	278	3.0k
Allan Pinkus Israel	23	993 1.3×	745 1.3×	652 1.3×	934 2.1×	97 0.3×	95	3.6k
J. N. Lyness United States	25	894 1.2×	654 1.1×	622 1.2×	622 1.4×	430 1.4×	119	2.6k
Anders Lindquist Sweden	30	420 0.5×	363 0.6×	525 1.0×	259 0.6×	98 0.3×	109	2.9k
G. W. Stewart United States	14	574 0.7×	382 0.6×	843 1.6×	117 0.3×	210 0.7×	39	2.2k
Lars Eldén Sweden	26	334 0.4×	585 1.0×	832 1.6×	344 0.8×	181 0.6×	77	2.4k
H. Woźniakowski United States	23	1.2k 1.6×	418 0.7×	813 1.6×	623 1.4×	137 0.5×	83	2.3k
Danny C. Sorensen United States	25	874 1.1×	1.2k 2.1×	1.1k 2.2×	128 0.3×	580 1.9×	51	4.1k

Countries citing papers authored by Ronald Cools

Since Specialization

Citations

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

Fields of papers citing papers by Ronald Cools

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ronald Cools

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

Cools, Ronald, et al.. (2016). Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions. Journal of Complexity. 36. 166–181. 10 indexed citations

Cools, Ronald, et al.. (2015). Integration and Approximation with Fibonacci lattice points. Lirias (KU Leuven). 8. 92–101.

Compernolle, Dirk Van, et al.. (2009). Minimum classification error training in example based speech and pattern recognition using sparse weight matrices. Journal of Computational and Applied Mathematics. 234(4). 1303–1311. 4 indexed citations

Cools, Ronald, et al.. (2007). On obtaining higher order convergence for smooth periodic functions. Journal of Complexity. 24(3). 328–340. 2 indexed citations

Cools, Ronald. (2006). More about cubature formulas and densest lattice packings. Lirias (KU Leuven). 1 indexed citations

Cools, Ronald, et al.. (2005). Good permutations for deterministic scrambled Halton sequences in terms of L2-discrepancy. Journal of Computational and Applied Mathematics. 189(1-2). 341–361. 46 indexed citations

Cools, Ronald, et al.. (2004). Transforming low-discrepancy sequences from a cube to a simplex. Journal of Computational and Applied Mathematics. 174(1). 29–42. 6 indexed citations

Cools, Ronald, et al.. (2003). Five- and six-dimensional lattice rules generated by structured matrices. Journal of Complexity. 19(6). 715–729. 12 indexed citations

Cools, Ronald. (2003). An encyclopaedia of cubature formulas. Journal of Complexity. 19(3). 445–453. 185 indexed citations

10.

Cools, Ronald & J. N. Lyness. (2001). Three- and four-dimensional 𝐾-optimal lattice rules of moderate trigonometric degree. Mathematics of Computation. 70(236). 1549–1567. 18 indexed citations

11.

Cools, Ronald, et al.. (2001). Cubature formulae and orthogonal polynomials. Journal of Computational and Applied Mathematics. 127(1-2). 121–152. 33 indexed citations

12.

Gupta, Anshu, et al.. (1999). NEU volume 11 issue 2 Cover and Front matter. Acta Neuropsychiatrica. 11(2). f1–f4. 1 indexed citations

13.

Bekaert, Philippe, Ronald Cools, & Yves Willems. (1999). An empirical comparison of Monte Carlo radiosity algorithms. International Conference in Central Europe on Computer Graphics and Visualization. 7. 9–16. 2 indexed citations

14.

Cools, Ronald. (1999). Monomial cubature rules since “Stroud”: a compilation — part 2. Journal of Computational and Applied Mathematics. 112(1-2). 21–27. 110 indexed citations

15.

Cools, Ronald, et al.. (1997). Different Quality Indexes for Lattice Rules. Journal of Complexity. 13(2). 235–258. 7 indexed citations

16.

Cools, Ronald, et al.. (1995). The Newton‐Raphson method. International Journal of Mathematical Education in Science and Technology. 26(2). 177–193. 80 indexed citations

17.

Cools, Ronald, et al.. (1994). Proof of a conjectured asymptotic expansion for the approximation of surface integrals. Mathematics of Computation. 63(208). 717–717. 5 indexed citations

18.

Verlinden, Pierre & Ronald Cools. (1994). Proof of a Conjectured Asymptotic Expansion for the Approximation of Surface Integrals. Mathematics of Computation. 63(208). 717–717. 5 indexed citations

19.

Verschelde, Jan & Ronald Cools. (1994). Symmetric homotopy construction. Journal of Computational and Applied Mathematics. 50(1-3). 575–592. 15 indexed citations

20.

Cools, Ronald, et al.. (1994). Cubpack++: a C++ package for automatic two-dimensional cubature. BMC Medical Education. 24(1). 432–432. 5 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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