• Digital World and Robotics

Numerical analysis and partial differential equations (AN-EDP)

Research team - UMR 8524

Description

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...

Contacts

  • Nicolas Wicker
  • Benoit Merlet
    Team manager

Informations

Bât M2 et M3, avenue Carl Gauss
Campus Cité Scientifique, Université de Lille
59655 VILLENEUVE D’ASCQ

https://math.univ-lille1.fr/d7/node/39

Effectif

Effectif total : 35

Personnel de recherche : 28

Personnel d'appui à la recherche : 2

Expertises

Skills

• 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.

Equipments

We do not offer access to any equipment.

Ecosystem

Affiliated institutions / organisations

University of Lille
CNRS

Partner institution(s)

INRIA

Unit(s) of attachment

Groups/Networks/Federations

FR 2037 FMHF - Fédération de Recherche Mathématique des Hauts-de-France
Réseau CIME - Centre d’Interactions Mathématiques – Entreprises

Equipex/EquipEx+/ESR

Doctoral schools

Regional strategic areas of activity

  • Digital World and Robotics

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Thematics

Current thematics

  • Digital World and Robotics
Title

Current content

Numerical analysis and partial differential equations
Type

Current content

Research team
Description

Current content

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...
Contact informations
Contact

Current content

Contact name Email phone number
WICKER Nicolas nicolas.wicker@univ-lille.fr (+33) 3 20 43 42 26
MERLET Benoit benoit.merlet@univ-lille.fr (+33) 1 69 33 46 46
URL

Current content

https://math.univ-lille1.fr/d7/node/39

Address

Current content

Bât M2 et M3, avenue Carl Gauss
Campus Cité Scientifique, Université de Lille
59655 VILLENEUVE D’ASCQ
Keywords

Current content

linear numerical analysis, modeling, approximation theory, analysis of partial differential equations, finite elements, optimization, mathematical physics
Our search domains
Skills

Current content

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

Current content

Nombre de chercheurs : 28
Nombre de doctorants :
Nombre de personnel d'appui à la recherche : 2
Effectif total : 35
Example(s) of projects

Current content

• Numerical simulation of corrosion 🡭 • Study and simulation of stratigraphic models 🡭
Example(s) of publications

Current content

• 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

Current content

Fields Institute (Canada), KU Leuven (Belgium), Catholic University of Louvain (Belgium), University of Kent (UK), Free University of Brussels (Belgium)
Collaborations/Partners/Private Clients

Current content

Services offers
Training offers

Current content

Services offers

Current content

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

Current content

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

Current content

We do not offer access to any equipment.
Ecosystem
Affiliated institutions / organisations

Current content

  • University of Lille
  • CNRS
Établissement(s) partenaire(s)

Current content

INRIA
Unit(s) of attachment

Current content

  • The Paul Painlevé Laboratory
Groups/Networks/Federations

Current content

FR 2037 FMHF - Fédération de Recherche Mathématique des Hauts-de-France Réseau CIME - Centre d’Interactions Mathématiques – Entreprises
Doctoral schools

Current content

Equipex/EquipEx+/ESR

Current content

Competitive cluster

Current content

Regional strategic areas of activity

Current content

  • Digital World and Robotics
Personal informations
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