Applied Mathematics

The "Unité de mathématiques appliquées (UMA)" conducts education and research in numerical modeling and simulation, control and optimization, scientific computing, operations research and data science, partial differential equations, and probability.

The unit consists of three teams:

  • IDEFIX: design, analysis, and implementation of efficient numerical methods for solving inverse problems related to partial differential equations.
  • Optimization and Control: decision mathematics and systems analysis in three major research areas: optimization, dynamic systems, and probability.
  • POEMS: development of mathematical and numerical studies concerning wave propagation in all areas of mechanics and physics.

     
Areas of application
  • Energy
  • Defense
  • Non-destructive testing

Research topics

MODELING OF WAVE PROPAGATION PHENOMENA, NUMERICAL METHODS FOR APPROXIMATING PARTIAL DIFFERENTIAL EQUATIONS, INVERSE PROBLEMS, NON-DESTRUCTIVE TESTING AND IMAGING, OPTIMIZATION, OPERATIONS RESEARCH AND DATA SCIENCE, CONTROL AND ANALYSIS OF DYNAMIC SYSTEMS, STOCHASTIC ANALYSIS AND PROBABILISTIC MODELS

Examples of Research Projects

updated on 08/28/26

Mettre les oreilles d'or à l'abri des fausses notes

The ability of submarines to successfully carry out their missions depends directly on the noise emitted by their various components. In a doctoral dissertation defended in April 2025, Louise Pacaut opened up new avenues for predicting the noise radiated by various key parts of submarines (diving planes, fins, propellers).

This noise effectively interferes with sonar measurements, which can mislead operators and cause them to miss a critical detection. This dissertation, conducted within the POEMS team, proposes a method that—starting from turbulent flow over a given structure—enables the prediction of radiated noise while streamlining the process by eliminating numerous steps through new computational methods.

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