The research projects currently in progress at the ISC focus on the following fields:

- Scientific Computing
Development and implementation of large-scale and high performance scientific computing programs involving advanced numerical methods and directly applied to fluid mechanics and in particular geophysical flows (oceans, atmosphere)

- Numerical Analysis
Analysis of multilevel methods using finite volumes, finite elements, finite differences, and spectral methods for partial differential equations

- Partial Differential Equations
Ginzburg-Landau equations, Navier-Stokes equations for compressible and incompressible flows, Vlasov-Maxwell equations, nonlinear hyperbolic equations. Shallow water equations and Primitive equations of the atmosphere and oceans

- Dynamical Systems
Finite and infinite dimensional dynamical systems with applications to turbulences

- Calculus of Variations
Convex and nonconvex optimization, nonlinear elliptic partial differential equations

- Weather and Climate Problems
Models of the atmosphere, the ocean, and the coupled atmosphere-oceans, theoretical results and numerical simulation