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\title{Semi-Lagrangian schemes for second order mean field game problems}
\author{F. J. Silva}
\institute{XLIM, Universit\'e de Limoges}
\email{francisco.silva@unilim.fr}
\coauthor{E. Carlini} % comment out if not needed

\mymaketitle

\section{Abstract}
In this talk we consider a possibly degenerate second order mean field game system. We propose a fully discrete semi-Lagrangian discretization and we provide its main properties. Convergence results will be discussed and numerical simulations will be displayed. 

\paragraph{Acknowledgments}
The support 
 of the European Union under the ``7th Framework Program FP7-PEOPLE-2010-ITN Grant agreement number 264735-SADCO'' are gratefully acknowledged.

\begin{thebibliography}{9} 
\bibitem{preprint}
{\sc  E. Carlini and  F. J. Silva}, {\em 	
A Fully Discrete Semi-Lagrangian Scheme for a First Order Mean Field Game Problem}, SIAM J. Numer. Anal. 52-1 (2014), pp. 45-67.  
\bibitem{preprint}
{\sc  E. Carlini and  F. J. Silva}, {\em Semi-Lagrangian schemes for mean field game models}, 52nd IEEE Conference on Decision and Control
December 10-13, 2013. Florence, Italy.
\bibitem{preprint}
{\sc  E. Carlini and  F. J. Silva}, {\em 	
A Fully Discrete Semi-Lagrangian Scheme for a Second Order Mean Field Game Problem}, in preparation.
 
\end{thebibliography}

\end{document}
