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Mathematics

D-Index
46
Citations
10001
World Ranking
1343
National Ranking
70

Overview

Robert Eymard is affiliated with the University of Paris-Est in France. Their research primarily spans the fields of Engineering, Mathematics, and Computer Science, with a particular emphasis on Computational Mechanics and Mathematical Physics.

Eymard's work concentrates on topics including:

  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in inverse problems
  • Advanced Mathematical Modeling in Engineering
  • Computational Fluid Dynamics and Aerodynamics
  • Differential Equations and Numerical Methods
  • Numerical methods in engineering
  • Spectral Theory in Mathematical Physics

Their publication record includes multiple recent papers such as:

  • "Lions' representation theorem and applications" (2022) in the Journal of Mathematical Analysis and Applications
  • "Extensions of dissipative and symmetric operators" (2023) in Semigroup Forum
  • "Finite volume schemes and Lax-Wendroff consistency" (2022) in Comptes Rendus Mécanique
  • "A monotone numerical flux for quasilinear convection diffusion equation" (2023) in Mathematics of Computation
  • "Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions" (2024) in IMA Journal of Numerical Analysis

The venues where Eymard frequently publishes include:

  • arXiv (Cornell University)
  • Mathematics of Computation
  • IMA Journal of Numerical Analysis
  • HAL (Le Centre pour la Communication Scientifique Directe)
  • Semigroup Forum

Frequent collaborators in their work include Wolfgang Arendt, David Maltese, Isabelle Chalendar, Thierry Gallouët, and Raphaèle Herbin.

Best Publications

  • Finite Volume Methods

    Robert Eymard;Thierry Gallouët;Raphaèle Herbin

  • Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces

    Robert Eymard;Thierry Gallouët;Raphaele Herbin

  • 3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids

    Robert Eymard;Gérard Henry;Raphaèle Herbin;Florence Hubert

  • A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS

    Jerome Droniou;Robert Eymard;Thierry Gallouet;Raphaele Herbin

  • A mixed finite volume scheme for anisotropic diffusion problems on any grid

    Jérôme Droniou;Robert Eymard

  • Convergence of a finite volume scheme for nonlinear degenerate parabolic equations

    Robert Eymard;Thierry Gallouët;Raphaèle Herbin;Anthony Michel

  • Use of Parameter Gradients for Reservoir History Matching

    F. Anterion;R. Eymard;B. Karcher

  • Small-stencil 3D schemes for diffusive flows in porous media

    Robert Eymard;Cindy Guichard;Raphaele Herbin

  • The finite volume method for Richards equation

    Robert Eymard;Michaël Gutnic;Danielle Hilhorst

  • Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes

    R Eymard;T Gallouët;M Ghilani;R Herbin

  • Constitutive modeling of unsaturated drying deformable materials

    O. Coussy;R. Eymard;T. Lassabatère

  • A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension

    Robert Eymard;Thierry Gallouët;Raphaèle Herbin

  • GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONS

    Jerome Droniou;Robert Eymard;Thierry Gallouet;Raphaele Herbin

  • A combined finite volume–nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems

    Robert Eymard;Danielle Hilhorst;Martin Vohralík

  • Mathematical study of a petroleum-engineering scheme

    Robert Eymard;Raphaèle Herbin;Anthony Michel

  • The effect of small-scale inhomogeneities on ozone depletion in the Arctic

    S. Edouard;B. Legras;F. Lefèvre;R. Eymard

  • The Gradient Discretisation Method

    Jérôme Droniou;Robert Eymard;Thierry Gallouët;Cindy Guichard

  • EXISTENCE AND UNIQUENESS OF THE ENTROPY SOLUTION TO A NONLINEAR HYPERBOLIC EQUATION

    R.Eymard;T.Gallouёt;R.Herbin

  • A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis

    Robert Eymard;Thierry Gallouët;Raphaèle Herbin

  • Vertex-centred discretization of multiphase compositional Darcy flows on general meshes

    Robert Eymard;Cindy Guichard;Raphaele Herbin;Roland Masson

  • Finite volume method

    Robert Eymard;Herbin;Thierry Gallouët

Frequent Co-Authors

Raphaèle Herbin
Raphaèle Herbin Aix-Marseille University
Thierry Gallouët
Thierry Gallouët Aix-Marseille University
Jérôme Droniou
Jérôme Droniou University of Montpellier
François Bouchut
François Bouchut Université Gustave Eiffel
Martin Vohralík
Martin Vohralík French Institute for Research in Computer Science and Automation - INRIA
Franck Lefèvre
Franck Lefèvre Centre national de la recherche scientifique, CNRS
Bernard Legras
Bernard Legras Sorbonne University
Lambertus A. Peletier
Lambertus A. Peletier Leiden University
Gianmarco Manzini
Gianmarco Manzini Los Alamos National Laboratory

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