• Digital World and Robotics

Numerical analysis and partial differential equations (AN-EDP)

Research team - UMR 8524


The research axes of the Numerical Analysis and Partial Differential Equations team cover a wide spectrum of theoretical and numerical topics:
- Analysis of PDEs and mathematical physics: study of problems from fluid mechanics (Navier-Stokes equations, MHD, Euler equations), dispersive equations (Schrödinger, Korteweg-deVries), inverse problems, classical and quantum physics, statistical mechanics, semi-classical analysis, calculus of variations applied to mechanics and micromagnetism
- Numerical analysis and approximation theory: numerical linear algebra, orthogonal polynomials, rational and Hermite-Padé approximation, asymptotic analysis, special functions, convergence acceleration, matrix functions, history of science
- Numerical methods and scientific computing: development of numerical methods (finite elements, finite volumes, ...), numerical analysis, schemes preserving asymptotics, a posteriori estimators, applications to problems from fluid mechanics, electromagnetism, plasma physics, kinetic theory of rarefied gases, quantum mechanics, optics, corrosion...


  • Nicolas Wicker
  • Benoit Merlet
    Team manager


Bât M2 et M3, avenue Carl Gauss
Campus Cité Scientifique, Université de Lille



Effectif total : 35

Personnel de recherche : 28

Personnel d'appui à la recherche : 2



• Numerical analysis
• Non-linear dynamics
• Quantum chaos
• Non-linear optics
• Approximation theory
• Analysis of partial differential equations
• Finite elements
• Optimization

Example(s) of projects

• Numerical simulation of corrosion 🡭
• Study and simulation of stratigraphic models 🡭

Example(s) of publications

• Estimées de Sogge de la croissance des fonctions propres du laplacien (G. Rivière et H. Hezari, Adv. Math. 290, 2016).
• Low-rank updates of matrix functions (B. Beckermann, D. Kressner, M. Schweitzer, SIAM J. Matrix Anal. Appl., 39(1), 2018).
• Global weak solutions to the compressible quantum Navier-Stokes equation and its semi-classical limit (I. Lacroix-Violet, A. Vasseur, J. Math. Pures Appl. 114, 2018).

See the full list of publications here.

Collaborations/Partners/Scientific clients

Fields Institute (Canada), KU Leuven (Belgium), Catholic University of Louvain (Belgium), University of Kent (UK), Free University of Brussels (Belgium)

Services offers

Applications sectors

  • Energy
  • Aeronautics / Aerospace
  • Electronic / photonics
  • Chemistry / Plastics (Glue, Plastic, Rubber...)
  • Materials (Metal, Glass, Ceramic, Composite...)
  • Science / Research

Services provided

• Optimization
• PDE analysis, application to fluid mechanics, inverse problems
• Numerical analysis
• Numerical methods and scientific computing

Consulting services

We provide consulting services related to all our areas of expertise.


We do not offer access to any equipment.


Affiliated institutions / organisations

Partner institution(s)

Unit(s) of attachment



Doctoral schools

Regional strategic areas of activity

  • Digital World and Robotics