Institute for Scientific Computing and Applied Mathematics

Ongoing Research Projects

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