Bernard Mourrain

6.0k total citations
157 papers, 3.0k citations indexed

About

Bernard Mourrain is a scholar working on Computational Theory and Mathematics, Computational Mechanics and Computer Graphics and Computer-Aided Design. According to data from OpenAlex, Bernard Mourrain has authored 157 papers receiving a total of 3.0k indexed citations (citations by other indexed papers that have themselves been cited), including 78 papers in Computational Theory and Mathematics, 71 papers in Computational Mechanics and 42 papers in Computer Graphics and Computer-Aided Design. Recurrent topics in Bernard Mourrain's work include Polynomial and algebraic computation (70 papers), Advanced Numerical Analysis Techniques (66 papers) and Computational Geometry and Mesh Generation (35 papers). Bernard Mourrain is often cited by papers focused on Polynomial and algebraic computation (70 papers), Advanced Numerical Analysis Techniques (66 papers) and Computational Geometry and Mesh Generation (35 papers). Bernard Mourrain collaborates with scholars based in France, China and United States. Bernard Mourrain's co-authors include Pierre Comon, Gang Xu, André Galligo, Régis Duvigneau, Ioannis Z. Emiris, Gene H. Golub, Lek‐Heng Lim, Mohamed Elkadi, Victor Y. Pan and Elias Tsigaridas and has published in prestigious journals such as Journal of Computational Physics, IEEE Transactions on Information Theory and IEEE Transactions on Signal Processing.

In The Last Decade

Bernard Mourrain

152 papers receiving 2.8k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Bernard Mourrain France 28 1.5k 1.3k 643 508 343 157 3.0k
M. Gasca Spain 16 522 0.3× 860 0.7× 64 0.1× 125 0.2× 71 0.2× 45 1.5k
Masakazu Kojima Japan 35 931 0.6× 3.1k 2.4× 68 0.1× 54 0.1× 83 0.2× 118 4.3k
Klaus Höllig Germany 22 1.7k 1.1× 460 0.4× 345 0.5× 11 0.0× 440 1.3× 46 2.7k
Chen Greif Canada 20 750 0.5× 603 0.5× 165 0.3× 41 0.1× 220 0.6× 55 1.4k
Amos Ron United States 28 1.3k 0.8× 377 0.3× 47 0.1× 32 0.1× 1.9k 5.4× 67 4.2k
Ming‐Jun Lai United States 25 2.0k 1.3× 291 0.2× 187 0.3× 41 0.1× 730 2.1× 92 2.9k
Alexander P. Morgan United States 25 717 0.5× 1.1k 0.8× 59 0.1× 15 0.0× 185 0.5× 50 2.6k
Didier Henrion France 33 305 0.2× 1.3k 1.0× 39 0.1× 53 0.1× 221 0.6× 202 4.2k
Mark Rudelson United States 20 1.0k 0.7× 236 0.2× 39 0.1× 46 0.1× 290 0.8× 46 2.3k
N.K. Bose United States 32 328 0.2× 535 0.4× 20 0.0× 60 0.1× 1.4k 4.0× 119 3.3k

Countries citing papers authored by Bernard Mourrain

Since Specialization
Citations

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

Fields of papers citing papers by Bernard Mourrain

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Bernard Mourrain

This figure shows the co-authorship network connecting the top 25 collaborators of Bernard Mourrain. A scholar is included among the top collaborators of Bernard Mourrain 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 Bernard Mourrain. Bernard Mourrain 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.
Mourrain, Bernard, et al.. (2024). On Łojasiewicz inequalities and the effective Putinar's Positivstellensatz. Journal of Algebra. 662. 741–767. 3 indexed citations
2.
Kočvara, Michal, et al.. (2023). Polynomial Optimization, Moments, and Applications. Springer optimization and its applications.
3.
Dickenstein, Alicia, et al.. (2022). Curve valuations and mixed volumes in the implicitization of rational varieties. Journal of Algebra. 612. 691–721.
4.
Mourrain, Bernard, et al.. (2020). On minimal decompositions of low rank symmetric tensors. Institutional Research Information System (Università degli Studi di Trento). 5 indexed citations
5.
Toshniwal, Deepesh, Bernard Mourrain, & Thomas J.R. Hughes. (2019). Polynomial spline spaces of non-uniform bi-degree on T-meshes:\n Combinatorial bounds on the dimension. arXiv (Cornell University). 3 indexed citations
6.
Mourrain, Bernard, et al.. (2018). Truncated Normal Forms for Solving Polynomial Systems: Generalized and\n Efficient Algorithms. arXiv (Cornell University). 6 indexed citations
7.
Mourrain, Bernard, et al.. (2016). Extensors and the Hilbert scheme. Institutional Research Information System (Università degli Studi di Trento). 3 indexed citations
8.
Mourrain, Bernard, et al.. (2016). Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology. Computer Aided Geometric Design. 45. 108–133. 36 indexed citations
9.
Jia, Xiaohong, Wenping Wang, Yi‐King Choi, Bernard Mourrain, & Changhe Tu. (2015). Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space. Journal of Symbolic Computation. 73. 221–243. 9 indexed citations
10.
Bernardi, Alessandra, et al.. (2012). General tensor decomposition, moment matrices and applications. Journal of Symbolic Computation. 52. 51–71. 24 indexed citations
11.
Mantzaflaris, Angelos & Bernard Mourrain. (2011). Deflation and certified isolation of singular zeros of polynomial systems. HAL (Le Centre pour la Communication Scientifique Directe). 249–256. 16 indexed citations
12.
Mourrain, Bernard, et al.. (2011). Low degree equations defining the Hilbert scheme. arXiv (Cornell University). 1 indexed citations
13.
Elkadi, Mohamed, Bernard Mourrain, & Ragni Piene. (2006). Algebraic Geometry and Geometric Modeling (Mathematics and Visualization). Springer eBooks. 1 indexed citations
14.
Mourrain, Bernard, Nicos G. Pavlidis, Dimitris K. Tasoulis, & Michael N. Vrahatis. (2006). Determining the number of real roots of polynomials through neural networks. Computers & Mathematics with Applications. 51(3-4). 527–536. 6 indexed citations
15.
Cattani, Eduardo, David A. Cox, Alicia Dickenstein, et al.. (2005). Solving Polynomial Equations: Foundations, Algorithms, and Applications (Algorithms and Computation in Mathematics). Springer eBooks. 12 indexed citations
16.
Mourrain, Bernard, Ioannis Z. Emiris, & Victor Y. Pan. (2004). Special Issue on Algebraic and Numerical Algorithms. HAL (Le Centre pour la Communication Scientifique Directe). 315. 310. 1 indexed citations
17.
Emiris, Ioannis Z., Bernard Mourrain, & Victor Y. Pan. (2004). Preface: Algebraic and Numerical Algorithms.. Theoretical Computer Science. 315. 307–308. 2 indexed citations
18.
Mourrain, Bernard & Olivier Ruatta. (2002). Relations Between Roots and Coefficients, Interpolation and Application to System Solving. Journal of Symbolic Computation. 33(5). 679–699. 10 indexed citations
19.
Mourrain, Bernard, et al.. (1998). An Application of Automatic Theorem Proving in Computer Vision. 1 indexed citations
20.
Mourrain, Bernard. (1997). Isolated points, duality and residues. Journal of Pure and Applied Algebra. 117-118. 469–493. 54 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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