Partial differential equations for MultiScale and MultiPhysics modelling – MSMPhi

In many areas of physics, first principles lead to models expressed in terms of partial differential equations (PDEs). Tackling practical problems turns then into computing precise solutions to coupled systems of PDEs. One key difficulty in this approach is that accurate numerical tools must be combined with fine analytical predictions to validate the choice of numerical schemes. The ambition of this project is to associate skills on scientific computing issues and theoretical analysis -- both applied to partial differential equations -- in order to make definitive progress relevant to practical applications, with a special eye toward systems coupling different areas of physics and/or coupling phenomenon at different scales.