Dirk Nuyens

1.5k total citations
43 papers, 702 citations indexed

About

Dirk Nuyens is a scholar working on Numerical Analysis, Applied Mathematics and Computational Mechanics. According to data from OpenAlex, Dirk Nuyens has authored 43 papers receiving a total of 702 indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Numerical Analysis, 18 papers in Applied Mathematics and 10 papers in Computational Mechanics. Recurrent topics in Dirk Nuyens's work include Mathematical Approximation and Integration (36 papers), Mathematical functions and polynomials (17 papers) and Probabilistic and Robust Engineering Design (9 papers). Dirk Nuyens is often cited by papers focused on Mathematical Approximation and Integration (36 papers), Mathematical functions and polynomials (17 papers) and Probabilistic and Robust Engineering Design (9 papers). Dirk Nuyens collaborates with scholars based in Belgium, Australia and United Kingdom. Dirk Nuyens's co-authors include Ronald Cools, Frances Y. Kuo, Ian H. Sloan, Ivan G. Graham, Robert Scheichl, Hans Janßen, Staf Roels, Friedrich Pillichshammer, Josef Dick and Jonathan M. Borwein and has published in prestigious journals such as Journal of Computational Physics, Mathematics of Computation and Reliability Engineering & System Safety.

In The Last Decade

Dirk Nuyens

40 papers receiving 636 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Dirk Nuyens Belgium	13	419	323	190	149	119	43	702
Grzegorz W. Wasilkowski United States	14	432 1.0×	123 0.4×	213 1.1×	102 0.7×	101 0.8×	35	534
Roland Hildebrand France	17	102 0.2×	160 0.5×	36 0.2×	81 0.5×	187 1.6×	61	879
Peter Mathé Germany	20	156 0.4×	90 0.3×	351 1.8×	302 2.0×	182 1.5×	77	1.1k
George E. Trapp United States	12	178 0.4×	83 0.3×	264 1.4×	153 1.0×	472 4.0×	31	908
Leszek Plaskota Poland	10	222 0.5×	61 0.2×	143 0.8×	84 0.6×	103 0.9×	43	396
E. W. Sachs Germany	22	616 1.5×	91 0.3×	64 0.3×	448 3.0×	577 4.8×	72	1.2k
Ulrich Tautenhahn Germany	23	201 0.5×	59 0.2×	423 2.2×	314 2.1×	330 2.8×	44	1.4k
Alvise Sommariva Italy	16	202 0.5×	69 0.2×	260 1.4×	441 3.0×	201 1.7×	71	846
Abdellah Chkifa France	6	94 0.2×	264 0.8×	42 0.2×	160 1.1×	112 0.9×	16	400
Vu Kim Tuan United States	17	149 0.4×	50 0.2×	627 3.3×	40 0.3×	132 1.1×	126	970

Countries citing papers authored by Dirk Nuyens

Since Specialization

Citations

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

Fields of papers citing papers by Dirk Nuyens

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Dirk Nuyens

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

Kuo, Frances Y., et al.. (2023). Random-prime–fixed-vector randomised lattice-based algorithm for high-dimensional integration. Journal of Complexity. 79. 101785–101785. 1 indexed citations

Kuo, Frances Y., et al.. (2022). Lattice field computations via recursive numerical integration. Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021). 10–10. 1 indexed citations

Nuyens, Dirk, et al.. (2021). MDFEM: Multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM. Numerische Mathematik. 148(3). 633–669. 4 indexed citations

Graham, Ivan G., Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, & Ian H. Sloan. (2018). Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients. Numerische Mathematik. 140(2). 479–511. 15 indexed citations

Nuyens, Dirk, et al.. (2017). Quasi-Monte-Carlo-based probabilistic assessment of wall heat loss. Energy Procedia. 132. 705–710. 5 indexed citations

Graham, Ivan G., Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, & Ian H. Sloan. (2017). . arXiv (Cornell University). 24 indexed citations

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

Nuyens, Dirk, et al.. (2016). Multivariate integration over Rs with exponential rate of convergence. Journal of Computational and Applied Mathematics. 315. 327–342. 4 indexed citations

Kuo, Frances Y., Dirk Nuyens, Leszek Plaskota, Ian H. Sloan, & G.W. Wasilkowski. (2015). Infinite-dimensional integration and the multivariate decomposition\n method. arXiv (Cornell University). 8 indexed citations

10.

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

11.

Nuyens, Dirk, et al.. (2012). License to Operate: Nontechnical Risks and Shale Gas Development in Europe. SPE Hydrocarbon Economics and Evaluation Symposium. 1 indexed citations

12.

Verleye, Bart, et al.. (2012). Uncertainty quantification in Liquid Composite Moulding processes. Lirias (KU Leuven). 265–271. 1 indexed citations

13.

Baldeaux, Jan, Josef Dick, Gunther Leobacher, Dirk Nuyens, & Friedrich Pillichshammer. (2011). Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules. Numerical Algorithms. 59(3). 403–431. 24 indexed citations

14.

Nuyens, Dirk, Ronald Cools, Theodore E. Simos, George Psihoyios, & Ch. Tsitouras. (2010). Higher Order Quasi-Monte Carlo Methods: A Comparison. AIP conference proceedings. 553–557. 4 indexed citations

15.

Cools, Ronald, Daan Huybrechs, & Dirk Nuyens. (2009). Recent topics in numerical integration. International Journal of Quantum Chemistry. 109(8). 1748–1755. 7 indexed citations

16.

Nuyens, Dirk & Ronald Cools. (2007). An overview of fast component‐by‐component constructions of lattice rules and lattice sequences. PAMM. 7(1). 1022609–1022610. 3 indexed citations

17.

Nuyens, Dirk & Ronald Cools. (2006). Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces. Mathematics of Computation. 75(254). 903–920. 132 indexed citations

18.

Cools, Ronald, Frances Y. Kuo, & Dirk Nuyens. (2006). Constructing Embedded Lattice Rules for Multivariate Integration. SIAM Journal on Scientific Computing. 28(6). 2162–2188. 61 indexed citations

19.

Nuyens, Dirk. (2005). Fast construction of a good lattice rule / About the cover. Notices of the American Mathematical Society. 52(11). 2 indexed citations

20.

Nuyens, Dirk & Ronald Cools. (2005). Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points. Journal of Complexity. 22(1). 4–28. 52 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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