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