Franz Winkler

1.7k total citations
54 papers, 853 citations indexed

About

Franz Winkler is a scholar working on Computational Theory and Mathematics, Geometry and Topology and Computational Mechanics. According to data from OpenAlex, Franz Winkler has authored 54 papers receiving a total of 853 indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Computational Theory and Mathematics, 23 papers in Geometry and Topology and 12 papers in Computational Mechanics. Recurrent topics in Franz Winkler's work include Polynomial and algebraic computation (37 papers), Advanced Differential Equations and Dynamical Systems (12 papers) and Advanced Numerical Analysis Techniques (12 papers). Franz Winkler is often cited by papers focused on Polynomial and algebraic computation (37 papers), Advanced Differential Equations and Dynamical Systems (12 papers) and Advanced Numerical Analysis Techniques (12 papers). Franz Winkler collaborates with scholars based in Austria, Spain and China. Franz Winkler's co-authors include J. Rafael Sendra, Sonia Pérez-Dı́az, Bruno Buchberger, Ulrich Langer, Meng Zhou, Josef Schicho, Thieu N. Vo, Alberto Lastra, Yanli Huang and Michael Kalkbrener and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Computational and Applied Mathematics and ACM Transactions on Mathematical Software.

In The Last Decade

Franz Winkler

49 papers receiving 789 citations

Peers

Franz Winkler
Fabrice Rouillier France
Barry Trager United States
Laureano González-Vega Spain
Frank Sottile United States
Joos Heintz Argentina
С. А. Абрамов Russia
Patrizia Gianni Italy
Nicole Tomczak-Jaegermann Canada
Michel Coste France
Joris van der Hoeven France
Fabrice Rouillier France
Franz Winkler
Citations per year, relative to Franz Winkler Franz Winkler (= 1×) peers Fabrice Rouillier

Countries citing papers authored by Franz Winkler

Since Specialization
Citations

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

Fields of papers citing papers by Franz Winkler

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Franz Winkler

This figure shows the co-authorship network connecting the top 25 collaborators of Franz Winkler. A scholar is included among the top collaborators of Franz Winkler 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 Franz Winkler. Franz Winkler 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.
Vo, Thieu N., et al.. (2018). Computation of all rational solutions of first-order algebraic ODEs. Advances in Applied Mathematics. 98. 1–24. 6 indexed citations
2.
Lastra, Alberto, et al.. (2016). A solution method for autonomous first-order algebraic partial differential equations. Journal of Computational and Applied Mathematics. 300. 119–133. 8 indexed citations
3.
Sendra, J. Rafael, et al.. (2015). Birational transformations preserving rational solutions of algebraic ordinary differential equations. Journal of Computational and Applied Mathematics. 286. 114–127. 7 indexed citations
4.
Szántó, Ágnes, et al.. (2015). Special issue on the conference ISSAC 2014: Symbolic computation and computer algebra. Journal of Symbolic Computation. 75. 1–3. 1 indexed citations
5.
Winkler, Franz. (2011). Algebraic Informatics. Lecture notes in computer science. 3 indexed citations
6.
Winkler, Franz, et al.. (2011). Rational general solutions of parametrizable AODEs. Publicationes Mathematicae Debrecen. 573–587. 9 indexed citations
7.
Winkler, Franz, et al.. (2011). Rational general solutions of planar rational systems of autonomous ODEs. Journal of Symbolic Computation. 46(10). 1173–1186. 17 indexed citations
8.
Zhou, Meng & Franz Winkler. (2008). Computing difference-differential dimension polynomials by relative Gröbner bases in difference-differential modules. Journal of Symbolic Computation. 43(10). 726–745. 8 indexed citations
9.
Sendra, J. Rafael, Franz Winkler, & Sonia Pérez-Dı́az. (2007). Rational Algebraic Curves. 82 indexed citations
10.
Zhou, Meng & Franz Winkler. (2006). Gröbner bases in difference-differential modules. 353–360. 6 indexed citations
11.
Hong, Hoon, Deepak Kapur, Peter Paule, & Franz Winkler. (2005). Bruno Buchberger — A life devoted to symbolic computation. Journal of Symbolic Computation. 41(3-4). 255–258. 1 indexed citations
12.
Piazza, Carla, et al.. (2005). CIMS-TR 2005-859 Algorithmic Algebraic Model Checking I: The Case of Biochemical Systems and their Reachability Analysis ?. 1 indexed citations
13.
Winkler, Franz & Ulrich Langer. (2003). Symbolic and Numerical Scientific Computation. Lecture notes in computer science. 25 indexed citations
14.
Schicho, Josef, et al.. (2001). The Parametrization of Canal Surfaces and the Decomposition of Polynomials into a Sum of Two Squares. Journal of Symbolic Computation. 32(1-2). 119–132. 22 indexed citations
15.
Winkler, Franz, et al.. (2000). Special Issue on Applications of Gröbner Bases. Journal of Symbolic Computation. 30(4). 339–340.
16.
Schicho, Josef, et al.. (2000). Symbolic parametrization of pipe and canal surfaces. 202–208. 6 indexed citations
17.
Sendra, J. Rafael & Franz Winkler. (1997). Parametrization of Algebraic Curves over Optimal Field Extensions. Journal of Symbolic Computation. 23(2-3). 191–207. 50 indexed citations
18.
Winkler, Franz. (1996). Polynomial algorithms in computer algebra. Applicable Algebra in Engineering Communication and Computing. 7(2). I–I. 118 indexed citations
19.
Sendra, J. Rafael & Franz Winkler. (1991). Symbolic parametrization of curves. Journal of Symbolic Computation. 12(6). 607–631. 65 indexed citations
20.
Winkler, Franz. (1988). A p-adic approach to the computation ofGröbner bases. Journal of Symbolic Computation. 6(2-3). 287–304. 32 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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