Title: Semi-Lagrangian exponential integrators for convection dominated problems


Abstract:
We consider a new class of integration methods for time dependent convection
 diffusion problems with dominating convection. These methods are exponential
 integrators and their peculiarity is that they allow for the computation of
 exponentials of the linearized convection term.
The main reason for developing this type of methods is that they can be applied
 to the numerical integration of the considered PDEs in a semi-Lagrangian fashion. 
 In these methods
linear convective terms are integrated 'exactlyŽ by computing first the characteristics
corresponding to the gridponts of the adopted discretization, and then producing the
 numerical approximation via an interpolation procedure.