Serge Dubuc

2.4k total citations · 1 hit paper
52 papers, 1.3k citations indexed

About

Serge Dubuc is a scholar working on Computational Mechanics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Serge Dubuc has authored 52 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Computational Mechanics, 13 papers in Mathematical Physics and 11 papers in Geometry and Topology. Recurrent topics in Serge Dubuc's work include Advanced Numerical Analysis Techniques (17 papers), Tribology and Lubrication Engineering (6 papers) and Polynomial and algebraic computation (6 papers). Serge Dubuc is often cited by papers focused on Advanced Numerical Analysis Techniques (17 papers), Tribology and Lubrication Engineering (6 papers) and Polynomial and algebraic computation (6 papers). Serge Dubuc collaborates with scholars based in Canada, France and Morocco. Serge Dubuc's co-authors include Gilles Deslauriers, Robert Cléroux, Charles Tilquin, Jacques Bélair, Jean‐Louis Merrien, Benoit Dubuc, Jacques Dubois, E. Seneta, Martin T. Wells and Fahima Nekka and has published in prestigious journals such as Journal of the American Statistical Association, Operations Research and SIAM Journal on Numerical Analysis.

In The Last Decade

Serge Dubuc

43 papers receiving 1.2k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Symmetric iterative interpolation processes

1989 449 citations Gilles Deslauriers, Serge Dubuc profile →

Peers

Serge Dubuc

CM

ME

CVPR

MP

SP

G. A. Watson United Kingdom

Frances Y. Kuo Australia

J. L. B. Cooper United States

Alexander Graham United Kingdom

David M. Bradley United States

T. N. T. Goodman United Kingdom

Ernesto De Vito Italy

Will Perkins United States

Stephen Joe New Zealand

G.G. Walter United States

G. A. Watson United Kingdom

Serge Dubuc

452 ×0.7

CM

101 ×0.3

ME

286 ×0.9

CVPR

131 ×0.6

MP

178 ×1.1

SP

Citations per year, relative to Serge Dubuc Serge Dubuc (= 1×) peers G. A. Watson

Countries citing papers authored by Serge Dubuc

Since Specialization

Citations

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

Fields of papers citing papers by Serge Dubuc

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Serge Dubuc

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

1.

Dubuc, Serge. (2017). Non-differentiability and Hölder properties of self-affine functions. Expositiones Mathematicae. 36(2). 119–142. 3 indexed citations

2.

Dubuc, Serge. (2011). de Rham transforms for subdivision schemes. Journal of Approximation Theory. 163(8). 966–987. 5 indexed citations

3.

Dubuc, Serge. (2006). Scalar and Hermite subdivision schemes. Applied and Computational Harmonic Analysis. 21(3). 376–394. 25 indexed citations

4.

Dubuc, Serge, et al.. (2006). Numerical solutions of the mass transfer problem. RAIRO - Operations Research. 40(1). 1–17. 1 indexed citations

5.

Dubuc, Serge & Jean‐Louis Merrien. (2001). A 4-point Hermite subdivision scheme. 113–122. 8 indexed citations

6.

Dubuc, Serge, Daniel Lemire, & Jean‐Louis Merrien. (2001). Fourier analysis of 2-point hermite interpolatory subdivision schemes. Journal of Fourier Analysis and Applications. 7(5). 537–552. 1 indexed citations

7.

Wells, Martin T., Serge Dubuc, & Gilles Deslauriers. (2000). Spline Functions and the Theory of Wavelets. Journal of the American Statistical Association. 95(451). 1008–1008. 13 indexed citations

8.

Dubuc, Serge & Gilles Deslauriers. (1999). Spline Functions and the Theory of Wavelets. 10 indexed citations

9.

Dubuc, Serge, Jean‐Louis Merrien, & Paul Sablonnière. (1998). The Length of the de Rham Curve. Journal of Mathematical Analysis and Applications. 223(1). 182–195. 4 indexed citations

10.

Dubuc, Serge & Gilles Deslauriers. (1996). Le calcul de la racine cubique selon Héron.. 51(1). 28–34. 2 indexed citations

11.

Dubuc, Serge, et al.. (1994). A Unified Approach for Nondifferentiable Functions. Journal of Mathematical Analysis and Applications. 182(1). 134–142. 6 indexed citations

12.

Deslauriers, Gilles, et al.. (1993). Continuous and differentiable multidimensional iterative interpolation. Linear Algebra and its Applications. 180. 95–120. 4 indexed citations

13.

Dubuc, Serge, et al.. (1993). The support function of an attractor. Numerical Functional Analysis and Optimization. 14(3-4). 323–332. 1 indexed citations

14.

Dubuc, Serge, et al.. (1992). Convex hull of powers of a complex number, trinomial equations and the Farey sequence. Numerical Algorithms. 2(1). 1–32. 6 indexed citations

15.

Deslauriers, Gilles, Jacques Dubois, & Serge Dubuc. (1991). Multidimensional Iterative Interpolation. Canadian Journal of Mathematics. 43(2). 297–312. 29 indexed citations

16.

Dubuc, Serge, et al.. (1990). Approximations of fractal sets. Journal of Computational and Applied Mathematics. 29(1). 79–89. 26 indexed citations

17.

Dubuc, Serge. (1986). Interpolation through an iterative scheme. Journal of Mathematical Analysis and Applications. 114(1). 185–204. 221 indexed citations

18.

Dubuc, Serge. (1977). Critères de convexité et inégalités intégrales. Annales de l’institut Fourier. 27(1). 135–165. 23 indexed citations

19.

Dubuc, Serge. (1973). Alg�bres ordonn�es et matrices Sym�triques. Archiv der Mathematik. 24(1). 30–33. 1 indexed citations

20.

Dubuc, Serge. (1969). Positive harmonic functions of a branching process. Proceedings of the American Mathematical Society. 21(2). 324–326. 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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