Research

Methods	Applications
Meshfree finite difference methods Particle methods Level set methods Averaged truncation methods	Incompressible fluid flow with interfaces Filling of a petroleum tank Flow of molten glass Bouncing of droplets Conservation laws Traffic flow Molecular dynamics Radiative Transfer
Software
Particleclaw: An exactly conservative particle method for scalar 1D conservation laws
Collaborations
Prince Chidyagwai (Temple University) Yossi Farjoun (Universidad Carlos III de Madrid) Morris R. Flynn (University of Alberta) Martin Frank (RWTH Aachen University) Aslan R. Kasimov (KAUST) Jean-Christophe Nave (McGill University) Rodolfo Ruben Rosales (MIT) Matthias Schäfer (Fraunhofer ITWM) Slobodan Vucetic (Temple University, CIS)
Research Support
07/2008 - 06/2012, NSF grant DMS-0813648 Capturing subgrid structures with level set methods (with Rodolfo Ruben Rosales and Jean-Christophe Nave) 09/2010 - 08/2013, NSF grant DMS-1007899 Collaborative Research: Phantom traffic jams, continuum modeling, and connections with detonation wave theory (collaboration with Rodolfo Ruben Rosales, NSF grant DMS-1007967) 09/2011 - 08/2014, NSF grant DMS-1115269 Collaborative Research: Numerical approaches for incompressible viscous flows with high order accuracy up to the boundary (with Prince Chidyagwai, and collaboration with Rodolfo Ruben Rosales, NSF grant DMS-1115278)
Seminar Organization
2008-2009 MIT seminar Numerical Methods for Partial Differential Equations
2009-present Temple University Mathematics Colloquium
2009-present Temple University Applied Mathematics and Scientific Computing Seminar
Memberships and Professional Activities
Member of the Society for Industrial and Applied Mathematics Peer-Reviewing for Communications in Computational Physics Computers and Mathematics with Applications Computer Methods in Applied Mechanics and Engineering International Journal of Numerical Analysis and Modelling B Journal of Applied Mathematics Journal of Computational and Nonlinear Dynamics Journal of Computational Physics Journal of Engineering Mathematics Mathematical Modelling and Numerical Analysis