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hal-00816528v1  Journal articles
Jerome BrachatPaolo LellaBernard MourrainMargherita Roggero. Extensors and the Hilbert scheme
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Scuola Normale Superiore 2014, pp. 23. ⟨10.2422/2036-2145.201407_003⟩
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inria-00178498v1  Book sections
Bernard MourrainJean-Pascal PavonePhilippe TrebuchetElias TsigaridasJulien Wintz. SYNAPS: A library for dedicated applications in symbolic numeric computing,
M.E. Stillman and N. Takayama and J. Verschelde. Software for algebraic geometry, 148, Springer, pp.81-110, 2007, IMA Volumes in Mathematics and its Applications
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inria-00070537v1  Conference papers
Bernard MourrainPhilippe Trebuchet. Generalized normal forms and polynomial system solving
ISSAC 2005 - International Symposium on Symbolic and Algebraic Computation , Jul 2005, Beijing, China. pp.253-260, ⟨10.1145/1073884.1073920⟩
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hal-00873272v1  Conference papers
Louis BlanchardElisa BerriniRégis DuvigneauYann RouxBernard Mourrain et al.  Bulbous Bow Shape Optimization
5th International Conference on Computational Methods in Marine Engineering, May 2013, Hamburg, Germany
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inria-00530758v2  Journal articles
Gang XuBernard MourrainRégis DuvigneauAndré Galligo. Parametrization of computational domain in isogeometric analysis: methods and comparison
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2011, 200 (23-24), pp.2021-2031. ⟨10.1016/j.cma.2011.03.005⟩
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hal-00685002v2  Journal articles
Gang XuBernard MourrainRégis DuvigneauAndré Galligo. Analysis-suitable volume parameterization of multi-block computational domain in isogeometric applications
Computer-Aided Design, Elsevier, 2013, Special Issue on Solid and Physical Modeling 2012, 45 (2), pp.395-404. ⟨10.1016/j.cad.2012.10.022⟩
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inria-00437559v1  Conference papers
Guillaume ChèzeJean-Claude YakoubsohnAndré GalligoBernard Mourrain. Computing Nearest Gcd with Certification
International Workshop Symbolic-Numeric Computation (SNC), Aug 2009, Kyoto, Japan. pp.29-34
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inria-00098681v1  Journal articles
Laurent BuséMohamed ElkadiBernard Mourrain. Using projection operators in computer aided geometric design
Contemporary mathematics, American Mathematical Society, 2003, 334, pp.321--342
inria-00170536v1  Books
Mohamed ElkadiBernard Mourrain. Introduction à la résolution des systèmes polynomiaux
Springer, 59, pp.307, 2007, Mathématiques et Applications, 978-3-540-71646-4
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inria-00433141v1  Journal articles
Lionel AlbertiBernard MourrainJean-Pierre Técourt. Isotopic triangulation of a real algebraic surface
Journal of Symbolic Computation, Elsevier, 2009, 44 (9), pp.1291-1310. ⟨10.1016/j.jsc.2008.02.007⟩
inria-00170535v1  Directions of work or proceedings
Bernard MourrainIoannis Z. EmirisVictor Y. Pan. Special Issue on Algebraic and Numerical Algorithms
Emiris, I. and Mourrain, B. and Pan, Y. V. 315, Elsevier, pp.310, 2004
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inria-00099487v1  Journal articles
Laurent BuséMohamed ElkadiBernard Mourrain. Resultant over the residual of a complete intersection
Journal of Pure and Applied Algebra, Elsevier, 2001, Effective methods in algebraic geometry (Bath, 2000), 164 (1-2), pp.35--57
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hal-00646566v1  Conference papers
Madalina HodorogBernard MourrainJoseph Schicho. An Adapted Version of the Bentley-Ottmann Algorithm for Invariants of Plane Curves Singularities
11th International Conference on Computational Science and Its Applications (ICCSA), Jun 2011, Santander, Spain. pp.121-131, ⟨10.1007/978-3-642-21931-3_10⟩
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inria-00071370v1  Conference papers
Ioannis Z. EmirisBernard MourrainElias Tsigaridas. Real Algebraic Numbers: Complexity Analysis and Experimentations
Reliable Implementations of Real Number Algorithms: Theory and Practice, 2008, Dagsthul, Germany. pp.57-82
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inria-00542193v1  Conference papers
Mădălina HodorogBernard MourrainJosef Schicho. A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve Singularity
International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), Sep 2010, Timisoara, Romania. pp.21-28
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inria-00137424v1  Book sections
Bernard Mourrain. Pythagore's Dilemma, Symbolic-Numeric Computation, and the Border Basis Method
Dongming Wang and Lihong Zhi. Symbolic-Numeric Computation, Birkhauser, pp.223--243, 2007, Trends in Mathematics