Cerfacs Enter the world of high performance ...

Numerical Methods



The numerical simulation of physical systems based on partial differential equations plays a central role at CERFACS. Within this transverse axis we study efficient and reliable numerical methods for the numerical approximation and solution of such problems with our partners. We aim at analyzing and developing fast and accurate numerical methods and target a broad range of solution methods adapted to modern parallel platforms.


The main goal is to develop fast and accurate high-order numerical methods for the solution of time-dependent partial differential equations in fluid mechanics related to the simulation of turbulent flows on complex three-dimensional geometries.

Simultaneously, we maintain and further develop expertise on selected core problems in numerical linear algebra that are relevant for both CERFACS teams and shareholders. This includes, e.g., the solution of sparse linear systems of equations with direct, mixed direct/iterative methods or purely iterative methods, the design of preconditioners for Krylov subspace methods exploiting the structure of the system (such as systems of saddle-point type arising in PDE constrained optimization and variational methods in data assimilation), the solution of sequences of linear and nonlinear systems. This research should lead to both new algorithms of interest for the linear algebra community and software available for CERFACS teams and shareholders.

Research fields

  • Aerodynamics
  • Climate modelling
  • Combustion
  • Geophysical flows
  • Structural mechanics



CERFACS Partners

CERFACS Partners


PhD positions available in two Marie Curie programs to begin at CERFACS in 2017 on combustion instabilities

superadmin |  18 May 2017

CERFACS has won two Marie Curie (ec.europa.eu/research/mariecurieactions) projects on instabilities in combustion systems: the first one MAGISTER will focus on machine learning methods for combustion instabilities and is coordinated by Un. Twente (Netherlands) while the second one (ANNULIGHT) will...Read more

My PhD in 180 seconds

ROGEL |  16 May 2017

Antoine Colmet-Daage, currently PhD student in the "Climate Modelling and Global Change team", participated to the regional final phase of the french competition "Ma thèse en 180 secondes", held in Montpellier on April 20th. You can find his performance on video (and in french), thanks to the...Read more