The center for mathematical studies and their applications is a laboratory located on the campus of the Ecole Normale Supérieure de Cachan. It's a joint research unit between CNRS and ENS Cachan. It brings together 35 researchers, 30 PhD students, 12 postdocs or research lecturers, 6 technical and administrative staff.

Two major research themes emerge in the CMLA. The first one concerns the scientific computation for partial differential equations used in physics and in fluid mechanics and the other one the processing and analysis of signals and images.

The specificity of the CMLA lies in the multidisciplinarity of the members that composed each team and in the effective aspect of the work done in an industrial context. Modeling and numerical simulation play a role at least as important as mathematical analysis.  Any new phenomenon of nature, technology or mind, is an opportunity for the CMLA's researchers to develop mathematical models, then to simulate on computer and finally to achieve a practical application. The mathematical techniques developed and used come from all the thematics : PDE's, probabilities and statistics of course, but also from classical analysis, geometry, algorithmics, and so on.

The Images group works on

• the image processing
• Machine learning
• Psychophysics & detection of geometrical paterns
• Variationnal methods
• Medical image and geometry
• Biological imaging
• Modeling and simulation in  physiology

The scientific computation for PDE's in physics and in fluid mechanics group works on

• Multi-fluids flows
• Kinetics methods
  
• Free surface flows
• Numerical analysis
• Control and stabilization of PDE's

Director: Nicolas Vayatis, co-director: Florian De Vuyst