Dirk Laurie

787 total citations
22 papers, 525 citations indexed

About

Dirk Laurie is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, Dirk Laurie has authored 22 papers receiving a total of 525 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Computational Theory and Mathematics, 9 papers in Applied Mathematics and 6 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in Dirk Laurie's work include Matrix Theory and Algorithms (10 papers), Mathematical functions and polynomials (7 papers) and Electromagnetic Scattering and Analysis (6 papers). Dirk Laurie is often cited by papers focused on Matrix Theory and Algorithms (10 papers), Mathematical functions and polynomials (7 papers) and Electromagnetic Scattering and Analysis (6 papers). Dirk Laurie collaborates with scholars based in South Africa, United States and Canada. Dirk Laurie's co-authors include Jörg Waldvogel, Stan Wagon, Folkmar Bornemann, Ronald Cools, Johan de Villiers, Marcel Wild, Stephan Wagner and Svante Janson and has published in prestigious journals such as IEEE Transactions on Image Processing, Mathematics of Computation and SIAM Journal on Scientific Computing.

In The Last Decade

Dirk Laurie

22 papers receiving 474 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Dirk Laurie South Africa	11	223	191	183	133	73	22	525
Knut Petras Germany	12	191 0.9×	123 0.6×	182 1.0×	73 0.5×	65 0.9×	36	432
E. B. Saff United States	14	499 2.2×	150 0.8×	294 1.6×	76 0.6×	56 0.8×	58	782
Gregory Ammar United States	15	179 0.8×	472 2.5×	167 0.9×	158 1.2×	90 1.2×	22	668
Luis G. Reyna United States	13	124 0.6×	135 0.7×	87 0.5×	137 1.0×	203 2.8×	28	597
Evgenij E. Tyrtyshnikov Russia	7	176 0.8×	401 2.1×	95 0.5×	149 1.1×	105 1.4×	7	553
V. Ya. Stetsenko Russia	4	169 0.8×	175 0.9×	182 1.0×	55 0.4×	71 1.0×	9	561
Ram P. Kanwal United States	11	222 1.0×	85 0.4×	106 0.6×	91 0.7×	50 0.7×	15	691
Fabio Di Benedetto Italy	13	115 0.5×	341 1.8×	94 0.5×	171 1.3×	95 1.3×	32	471
Manfred R. Trummer Canada	11	80 0.4×	145 0.8×	243 1.3×	76 0.6×	165 2.3×	38	584
S. Seatzu Italy	11	209 0.9×	145 0.8×	74 0.4×	81 0.6×	107 1.5×	47	541

Countries citing papers authored by Dirk Laurie

Since Specialization

Citations

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

Fields of papers citing papers by Dirk Laurie

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Dirk Laurie

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

Wild, Marcel, Svante Janson, Stephan Wagner, & Dirk Laurie. (2013). Coupon collecting and transversals of hypergraphs. Discrete Mathematics & Theoretical Computer Science. Vol. 15 no. 2(Analysis of Algorithms). 5 indexed citations

Laurie, Dirk. (2010). The Roadmaker's Algorithm for the Discrete Pulse Transform. IEEE Transactions on Image Processing. 20(2). 361–371. 6 indexed citations

Laurie, Dirk. (2007). Calculation of Radau–Kronrod and Lobatto–Kronrod quadrature formulas. Numerical Algorithms. 45(1-4). 139–152. 3 indexed citations

Laurie, Dirk & Johan de Villiers. (2006). Orthogonal polynomials for refinable linear functionals. Mathematics of Computation. 75(256). 1891–1903. 10 indexed citations

Laurie, Dirk. (2001). Computation of Gauss-type quadrature formulas. Journal of Computational and Applied Mathematics. 127(1-2). 201–217. 53 indexed citations

Laurie, Dirk, et al.. (2000). Design and implementation of a C++ package for two-dimensional numerical integration. Unisa Institutional Repository (University of South Africa). 162–168. 1 indexed citations

Laurie, Dirk. (1999). Accurate recovery of recursion coefficients from Gaussian quadrature formulas. Journal of Computational and Applied Mathematics. 112(1-2). 165–180. 16 indexed citations

Laurie, Dirk. (1997). Calculation of Gauss-Kronrod quadrature rules. Mathematics of Computation. 66(219). 1133–1145. 128 indexed citations

Cools, Ronald, et al.. (1997). Algorithm 764: Cubpack++. ACM Transactions on Mathematical Software. 23(1). 1–15. 27 indexed citations

10.

Laurie, Dirk. (1996). Periodizing transformations for numerical integration. Journal of Computational and Applied Mathematics. 66(1-2). 337–344. 26 indexed citations

11.

Laurie, Dirk. (1996). Anti-Gaussian quadrature formulas. Mathematics of Computation. 65(214). 739–747. 79 indexed citations

12.

Laurie, Dirk, et al.. (1996). Automatic quadrature of functions of the formg(¦f(x¦). BIT Numerical Mathematics. 36(2). 387–394. 2 indexed citations

13.

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

14.

Laurie, Dirk, et al.. (1994). A Two-Phase Algorithm for the Chebyshev Solution of Complex Linear Equations. SIAM Journal on Scientific Computing. 15(6). 1440–1451. 2 indexed citations

15.

Laurie, Dirk. (1992). STRATIFIED SEQUENCES OF NESTED QUADRATURE FORMULAS. Quaestiones Mathematicae. 15(3). 365–384. 16 indexed citations

16.

Laurie, Dirk. (1991). Solving the inverse eigenvalue problem via the eigenvector matrix. Journal of Computational and Applied Mathematics. 35(1-3). 277–289. 10 indexed citations

17.

Laurie, Dirk. (1988). A Numerical Approach to the Inverse Toeplitz Eigenproblem. SIAM Journal on Scientific and Statistical Computing. 9(2). 401–405. 23 indexed citations

18.

Bornemann, Folkmar, Dirk Laurie, Stan Wagon, & Jörg Waldvogel. (1987). The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing. Medical Entomology and Zoology. 48 indexed citations

19.

Laurie, Dirk. (1985). Practical error estimation in numerical integration. Journal of Computational and Applied Mathematics. 12-13. 425–431. 16 indexed citations

20.

Laurie, Dirk, et al.. (1979). Computation of Gaussian quadrature rules from modified moments. Journal of Computational and Applied Mathematics. 5(3). 235–243. 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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