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
Yossi Farjoun (Universidad Carlos III de Madrid) Morris R. Flynn (University of Alberta) Martin Frank (RWTH Aachen) Aslan R. Kasimov (KAUST) Jörg Kuhnert (Fraunhofer ITWM) Jean-Christophe Nave (MIT) Rodolfo Ruben Rosales (MIT) Matthias Schäfer (Fraunhofer ITWM) Sudarshan Tiwari (TU Kaiserslautern)
Research Support
NSF grant DMS-0813648 Capturing subgrid structures with level set methods with Rodolfo Ruben Rosales and Jean-Christophe Nave.
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