World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
45
Citations
7818
World Ranking
1481
National Ranking
86

Overview

Bernard Mourrain is affiliated with the French Institute for Research in Computer Science and Automation (INRIA) in France. Their research spans multiple fields primarily in Computer Science and Mathematics, with significant work in Engineering.

The main areas of study for Bernard Mourrain include:

  • Computer Science
  • Mathematics
  • Engineering

Within these fields, their subfields of focus are:

  • Computational Theory and Mathematics
  • Computational Mechanics
  • Computer Graphics and Computer-Aided Design
  • Numerical Analysis
  • Computational Mathematics

The primary research topics covered in their work encompass:

  • Polynomial and algebraic computation
  • Advanced Numerical Analysis Techniques
  • Advanced Optimization Algorithms Research
  • Tensor decomposition and applications
  • Matrix Theory and Algorithms
  • Commutative Algebra and Its Applications
  • Computer Graphics and Visualization Techniques

Their recent papers include:

  • "Geometrically smooth spline bases for data fitting and simulation" (2020), published in Computer Aided Geometric Design
  • "Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications" (2020), published in Computer Aided Geometric Design
  • "On the effective Putinar's Positivstellensatz and moment approximation" (2022), published in Mathematical Programming
  • "G1 - Smooth biquintic approximation of Catmull-Clark subdivision surfaces" (2022), published in Computer Aided Geometric Design
  • "On minimal decompositions of low rank symmetric tensors" (2020), published by Institutional Research Information System (Università degli Studi di Trento)

Frequent co-authors working with Bernard Mourrain include:

  • Lorenzo Baldi
  • Angelos Mantzaflaris
  • Rima Khouja
  • Gang Xu
  • Michelangelo Marsala

The scientist has published in various venues, with notable frequent publications in:

  • arXiv (Cornell University)
  • Computer Aided Geometric Design
  • Journal of Symbolic Computation
  • Journal of Algebra
  • Linear Algebra and its Applications

Among book publications, Bernard Mourrain has contributed a work titled Polynomial Optimization, Moments, and Applications published by Springer International Publishing in 2023.

Best Publications

  • Symmetric Tensors and Symmetric Tensor Rank

    Pierre Comon;Gene Golub;Lek-Heng Lim;Bernard Mourrain

  • On the geometry and algebra of the point and line correspondences between N images

    O. Faugeras;B. Mourrain

  • Decomposition of quantics in sums of powers of linear forms

    P. Comon;B. Mourrain

  • Symmetric tensor decomposition

    Jérôme Brachat;Pierre Comon;Bernard Mourrain;Elias P. Tsigaridas;Elias P. Tsigaridas

  • Parameterization of computational domain in isogeometric analysis: Methods and comparison

    Gang Xu;Gang Xu;Bernard Mourrain;Régis Duvigneau;André Galligo

  • Subdivision methods for solving polynomial equations

    B. Mourrain;J. P. Pavone

  • Analysis-suitable volume parameterization of multi-block computational domain in isogeometric applications

    Gang Xu;Bernard Mourrain;RéGis Duvigneau;André Galligo

  • Matrices in elimination theory

    Ioannis Z. Emiris;Bernard Mourrain

  • A New Criterion for Normal Form Algorithms

    Bernard Mourrain

  • Multivariate polynomials, duality, and structured matrices

    Bernard Mourrain;Victor Y. Pan

  • Type II codes over Z/sub 4/

    A. Bonnecaze;P. Sole;C. Bachoc;B. Mourrain

  • Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis

    Gang Xu;Bernard Mourrain;RéGis Duvigneau;André Galligo

  • Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method

    Gang Xu;Bernard Mourrain;Régis Duvigneau;André Galligo

  • Algebraic methods and arithmetic filtering for exact predicates on circle arcs

    Olivier Devillers;Alexandra Fronville;Bernard Mourrain;Monique Teillaud

  • Isolated points, duality and residues

    Bernard Mourrain

  • Computer Algebra Methods for Studying and Computing Molecular Conformations

    Ioannis Z. Emiris;Bernard Mourrain

  • The 40 “generic” positions of a parallel robot

    B. Mourrain

  • Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization

    Gang Xu;Gang Xu;Ming Li;Bernard Mourrain;Timon Rabczuk

  • Introduction à la résolution des systèmes polynomiaux

    Mohamed Elkadi;Bernard Mourrain

  • On the Complexity of Isolating Real Roots and Computing with Certainty the Topological Degree

    B. Mourrain;M.N. Vrahatis;J.C. Yakoubsohn

  • Optimal analysis-aware parameterization of computational domain in isogeometric analysis

    Gang Xu;Bernard Mourrain;Régis Duvigneau;André Galligo

Frequent Co-Authors

Ioannis Z. Emiris
Ioannis Z. Emiris National and Kapodistrian University of Athens
Pierre Comon
Pierre Comon Grenoble Alpes University
Victor Y. Pan
Victor Y. Pan City University of New York
Wenping Wang
Wenping Wang Texas A&M University
Jean B. Lasserre
Jean B. Lasserre Laboratory for Analysis and Architecture of Systems
Monique Laurent
Monique Laurent Centrum Wiskunde & Informatica
Michael N. Vrahatis
Michael N. Vrahatis University of Patras
Olivier Devillers
Olivier Devillers University of Lorraine
Gene H. Golub
Gene H. Golub Stanford University
Bill Triggs
Bill Triggs Laboratoire Jean Kuntzmann

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