Jan Verschelde

2.9k total citations
59 papers, 1.3k citations indexed

About

Jan Verschelde is a scholar working on Computational Theory and Mathematics, Computational Mechanics and Geometry and Topology. According to data from OpenAlex, Jan Verschelde has authored 59 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 55 papers in Computational Theory and Mathematics, 29 papers in Computational Mechanics and 11 papers in Geometry and Topology. Recurrent topics in Jan Verschelde's work include Polynomial and algebraic computation (54 papers), Advanced Numerical Analysis Techniques (28 papers) and Numerical Methods and Algorithms (25 papers). Jan Verschelde is often cited by papers focused on Polynomial and algebraic computation (54 papers), Advanced Numerical Analysis Techniques (28 papers) and Numerical Methods and Algorithms (25 papers). Jan Verschelde collaborates with scholars based in United States, Belgium and Germany. Jan Verschelde's co-authors include Andrew J. Sommese, Ronald Cools, Charles W. Wampler, Pierre Verlinden, Anton Leykin, Karin Gatermann, Birkett Huber, Ann Haegemans, Dirk Roose and Yongqi Wang and has published in prestigious journals such as IEEE Transactions on Automatic Control, SIAM Journal on Numerical Analysis and Applied Mathematics and Computation.

In The Last Decade

Jan Verschelde

58 papers receiving 1.2k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Jan Verschelde United States 17 1.0k 632 268 217 195 59 1.3k
M. Gasca Spain 16 860 0.9× 522 0.8× 185 0.7× 224 1.0× 377 1.9× 45 1.5k
Rekha R. Thomas United States 17 573 0.6× 148 0.2× 255 1.0× 279 1.3× 216 1.1× 56 1.1k
Fabrice Rouillier France 13 552 0.5× 305 0.5× 132 0.5× 164 0.8× 64 0.3× 40 785
Daniel Lazard France 19 942 0.9× 388 0.6× 550 2.1× 485 2.2× 54 0.3× 45 1.5k
Saugata Basu United States 15 1.3k 1.3× 387 0.6× 313 1.2× 434 2.0× 171 0.9× 76 1.9k
Alexander Barvinok United States 20 632 0.6× 168 0.3× 215 0.8× 278 1.3× 230 1.2× 63 1.5k
Franz Winkler Austria 15 620 0.6× 383 0.6× 162 0.6× 325 1.5× 53 0.3× 54 853
Volker Weispfenning Germany 20 1.0k 1.0× 219 0.3× 355 1.3× 340 1.6× 94 0.5× 52 1.4k
Hoon Hong United States 14 574 0.6× 231 0.4× 54 0.2× 100 0.5× 91 0.5× 63 1.2k
Monique Laurent Netherlands 24 1.5k 1.5× 214 0.3× 120 0.4× 232 1.1× 829 4.3× 125 2.2k

Countries citing papers authored by Jan Verschelde

Since Specialization
Citations

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

Fields of papers citing papers by Jan Verschelde

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Jan Verschelde

This figure shows the co-authorship network connecting the top 25 collaborators of Jan Verschelde. A scholar is included among the top collaborators of Jan Verschelde 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 Jan Verschelde. Jan Verschelde is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Verschelde, Jan, et al.. (2017). The method of Gauss–Newton to compute power series solutions of polynomial homotopies. Linear Algebra and its Applications. 542. 569–588. 2 indexed citations
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4.
Gross, Elizabeth, Sonja Petrović, & Jan Verschelde. (2013). Interfacing with PHCpack. 5(1). 20–25. 8 indexed citations
5.
Verschelde, Jan, et al.. (2010). Polynomial homotopies on multicore workstations. 131–140. 8 indexed citations
6.
Verschelde, Jan, et al.. (2009). Sweeping algebraic curves for singular solutions. Journal of Computational and Applied Mathematics. 234(4). 1228–1237. 4 indexed citations
7.
Bini, Dario A., Victor Y. Pan, & Jan Verschelde. (2008). Preface. Theoretical Computer Science. 409(2). 155–157. 3 indexed citations
8.
Bouma, Gosse, et al.. (2008). Proceedings of Language Resources and Evaluation Conference (LREC) 2008. 8 indexed citations
9.
Leykin, Anton, et al.. (2006). Newton's method with deflation for isolated singularities of polynomial systems. Theoretical Computer Science. 359(1-3). 111–122. 84 indexed citations
10.
Verschelde, Jan, et al.. (2004). Computing feedback laws for linear systems with a parallel pieri homotopy. Proceedings of the International Conference on Parallel Processing. 222–229. 8 indexed citations
11.
Sommese, Andrew J., Jan Verschelde, & Charles W. Wampler. (2004). Numerical factorization of multivariate complex polynomials. Theoretical Computer Science. 315(2-3). 651–669. 21 indexed citations
12.
Sommese, Andrew J., Jan Verschelde, & Charles W. Wampler. (2002). Advances in Polynomial Continuation for Solving Problems in Kinematics. 481–488. 3 indexed citations
13.
Verschelde, Jan. (2000). Numerical Evidence for a Conjecture in Real Algebraic Geometry. Experimental Mathematics. 9(2). 183–196. 12 indexed citations
14.
Verschelde, Jan. (2000). Toric Newton Method for Polynomial Homotopies. Journal of Symbolic Computation. 29(4-5). 777–793. 7 indexed citations
15.
Sommese, Andrew J. & Jan Verschelde. (2000). Numerical Homotopies to Compute Generic Points on Positive Dimensional Algebraic Sets. Journal of Complexity. 16(3). 572–602. 53 indexed citations
16.
Verschelde, Jan, et al.. (1999). Enumerating Regular Mixed-Cell Configurations. Discrete & Computational Geometry. 21(4). 569–579. 8 indexed citations
17.
Verschelde, Jan & Karin Gatermann. (1995). Symmetrical Newton Polytopes for Solving Sparse Polynomial Systems. Advances in Applied Mathematics. 16(1). 95–127. 21 indexed citations
18.
Verschelde, Jan & Ronald Cools. (1994). Symmetric homotopy construction. Journal of Computational and Applied Mathematics. 50(1-3). 575–592. 15 indexed citations
19.
Verschelde, Jan. (1994). Handbook of convex geometry. Journal of Computational and Applied Mathematics. 54(3). N2–N3. 51 indexed citations
20.
Verschelde, Jan & Ronald Cools. (1992). Nonlinear reduction for solving deficient polynomial systems by continuation methods. Numerische Mathematik. 63(1). 263–282. 4 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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