The purpose of the research at Centre de Mathématiques Appliquées (CMAP) is the modelling, mathematical analysis, numerical analysis and effective scientific computation for phenomena appearing in the physical, chemical, economical and information sciences. This covers the whole range from theoretical results to effective numerical simulation, and takes into account the true complexity of phenomena, in particular when there are random effects. The centre has numerous national and international contacts in mathematics and physics, and is part of several organized research groups. It participates in delivering graduate diplomas and collaborates with industry, and often provides Ph.D. students with industrial grants leading to jobs.
The research activities are structured into a few strategic themes.
Financial Mathematics: Nizar Touzi
Modelling, random simulation and statistics: Carl Graham
Mathematical models for the evolution of biological systems : Sylvie Méléard
Information science and technologies
Signal processing: Stéphane Mallat
COMMANDS (CMAP-INRIA): Fréderic Bonnans
MAXPLUS (CMAP-INRIA) : Stéphane Gaubert.
PDEs and Numerical Analysis
Mechanics, Materials and shape optimization: Grégoire Allaire
Nonlinear PDEs in physics: Anne de Bouard
Medical imaging and electromagnetism: Habib Ammari
DEFI (CMAP-INRIA): Houssem Haddar
Since its creation, CMAP has developed a partnership policy with industry through grants. Scientists from CMAP have also created two start-up companies: IMACS (Ingénierie Mathématique et Calcul Scientifique) specialized in acoustics and electromagnetic modeling, and “Let It Wave” (image, and video restoration and enhancement)