The research projects currently in progress at the ISC focus on the following fields:
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)
Analysis of multilevel methods using finite volumes, finite elements, finite differences, and spectral methods for 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
Finite and infinite dimensional dynamical systems with applications to turbulences.
Convex and nonconvex optimization, nonlinear elliptic partial differential equations
Models of the atmosphere, the ocean, and the coupled atmosphere-oceans, theoretical results and numerical simulation.