Luis Miguel Villada
MSc in Mathematics, Universidad Nacional de Colombia (2007) BSc in Mathematics, Universidad de Córdoba, Colombia (2004)
System of conservation laws and relative equations, Strongly degenerate parabolic equations, reaction-diffusion systems. Finite volume/difference methods, Discontinuous Galerkin method, implicit-explicit (IMEX) schemes, high order schemes (WENO), adaptive methods (AMR), Lagrangian-Remap solver. Applications to traffic flows, polydisperse sedimentation, Shallow-water equations, multi-phase flows, kinetic and kinematic models, compressible gas dynamics, epidemiology.