Modeling, mathematical analysis and simulation of complex physical, natural and biological phenomena

Mathematicians, numerical analysts, statisticians, biologists, mechanics and physicists find themselves in this axis to develop and analyze numerical models of complex systems.

Scientific approach

The development of mathematical and numerical models of physical, natural or biological systems is necessary for simulation purposes. This development can only be achieved by bringing together mathematicians, computer scientists, physicists, mechanics, biologists and engineers. In order to optimize performance in increasingly fluctuating environments, the models must integrate hazards, observations, database enrichment, high-performance aspects of computer tools and must also take into account the finer understanding of the studied phenomena. On the other hand, the development of substitution or reduced models allows researchers to understand and develop robust and numerical methods for large-scale systems.

Covered themes

  • Fluid mechanics with low Mach numbers
  • Wave-structure interaction, extreme waves, water waves
  • Multi-fluid and multi-scale simulation
  • Biology and cell migration
  • Oncology and drug resistance
  • Mathematical analysis of numerical schemes for hyperbolic equations
  • Field data analysis and parameter learning

Computational biology & molecular dynamics modeling

This theme at the interface of mathematics, computer science, physics and biology focuses on modeling and simulation for problems arising from biology.

Simulation and modeling of complex physical systems

The work of this pole concerns the modeling, the mathematical analysis and the simulation of complex physical phenomena.

LRC MESO

The LRC MESO provides a framework for collaboration between physicists using numerical models, and mathematicians developing numerical methods for real and industrial problems.