Ben Mansour Dia worked as a Postdoctoral Fellow at Professor Raul F. Tempone's Stochastic Numerics Research Group at King Abdullah University of Science and Technology (KAUST).
Research Interests
- Modeling and Numerical Simulations of Incompressible Flows: 2-D shallow water equations, 1-D bilayer shallow water equations.
- Control Theory: Boundary stabilization and exact controllability of hyperbolic partial differential equations, optimal control of ordinary differential equations and stochastic differential equations
- Numerical Analysis: Finite Elements Method, Variational Multi-Scale formulation, Finite Volumes Method,
- Uncertainty Quantification
Selected Publications
- Dario Bauso, Ben Mansour Dia, Boualem Djehiche, Hamidou Tembine and Raul Tempone, Mean Field Games for Marriage, PLOS ONE 9(5): e94933, 2014.
- Ben Mansour Dia, Exponential Stability of shallow water equations with time dependent boundary action, Int. J. Dynam. Control, 2014.
- Ben Mansour Dia and Jesper Oppelstrup, Boundary feedback control of 2-D shallow water equations, 1 (2013) 41-53.
- Ben Mansour Dia, Leon Matar S. Tine and Ababacar Diagne, A generalized finite difference scheme for the 2-D shallow water equations, Proceedings of CARI, 2014, Saint-Louis.
- M. S. Goudiaby, M. L. Diagne and Ben Mansour Dia, Solution to a Riemann Problem at the Junction of Two Reaches, Proceedings of CARI, 2014, Saint-Louis.
- Tomas Chacon Rebollo, Ben Mansour Dia, Variational Multi-Scale method with spectral approximation of the sub-scales: Application to 1-d convection-diffusion equation, Comput. Methods Appl. Mech. Engrg 285 (2015) 406-426.
- Ben Mansour Dia, Jesper Oppelstrup and Abdou Sene, Stabilizing local boundary conditions for 2d shallow water equations, submitted 2014.
Education Profile
- Ph.D. in Applied Mathematics, Gaston Berger University/Royal Institute of Technology (2012).
- Master in Applied Mathematics, Gaston Berger University (2007).
- MSc in Applied Maths and Computer Science, Gaston Berger University (2005).
Professional Memberships
- Member, Society for Industrial and Applied Mathematics (SIAM).
- Member, West African network ''EDP-Modélisation et Contrôle''.
- Science consultant, SAED (Société Nationale d'Aménagement et d'Exploitation des Terres du Delta, du fleuve Sénégal et des Vallées du fleuve Sénégal et de la Falémé), 2008 – 2011.
Awards and Distinctions
- International Science Programme (ISP) fellowship, August 2009 – January 2012.
- Institute of Mathematics of the University of Sevilla (IMUS) fellowship, 2010.