Research

ComputationalModeling and Analysis
Software (Reproducible Research)
Particleclaw: An exactly conservative particle method for scalar 1D conservation laws
StaRMAP: An efficient method to solve spherical harmonics moment systems of radiative transfer
Past CollaborationsActive Collaborations
Soroush Assari (Temple University)
Kurosh Darvish (Temple University)
Shimao Fan (UI Urbana-Champaign)
Yossi Farjoun (Universidad Carlos III de Madrid)
Morris R. Flynn (University of Alberta)
Aslan R. Kasimov (KAUST)
Kerstin Küpper (RWTH Aachen University)
Kaveh Laksari (Stanford University)
Edward Larsen (University of Michigan)
Jean-Christophe Nave (McGill University)
Edgar Olbrant (RWTH Aachen University)
Keya Sadeghipour (Temple University)
Birte Schmidtmann (RWTH Aachen University)
Prince Chidyagwai (Loyola University Maryland)
Martin Frank (RWTH Aachen University)
Michael Herty (RWTH Aachen University)
Benedetto Piccoli (Rutgers University)
Rodolfo Ruben Rosales (MIT)
David Shirokoff (New Jersey Institute of Technology)
Jonathan Sprinkle (University of Arizona)
Manuel Torrilhon (RWTH Aachen University)
Dan Work (UI Urbana-Champaign)
Research Support
  • 08/2017 - 07/2020, NSF grant DMS-1719640
    Collaborative Research: Overcoming order reduction and stability restrictions in high-order time-stepping
    (PI, with Co-PI Dong Zhou, and collaboration with Rodolfo Ruben Rosales, DMS-1719637, David Shirokoff, DMS-1719693)
  • 01/2015 - 12/2017, NSF grant CNS-1446690
    CPS: Synergy: Collaborative Research: Control of vehicular traffic flow via low density autonomous vehicles
    (PI, collaboration with Benedetto Piccoli, CNS-1446715, Jonathan Sprinkle, CNS-1446435, and Daniel Work, CNS-1446702)
  • 07/2013 - 06/2016, NSF grant DMS-1318709
    Collaborative Research: Gradient-augmented level set methods and jet schemes
    (PI, collaboration with Rodolfo Ruben Rosales, DMS-1318942)
  • 07/2013 - 06/2016, NSF grant DMS-1318641
    A computational framework for atherosclerotic plaque growth simulations
    (PI, with Co-PI Sunnie Joshi)
  • 09/2011 - 08/2014, NSF grant DMS-1115269
    Collaborative Research: Numerical approaches for incompressible viscous flows with high order accuracy up to the boundary
    (PI, with Co-PI Prince Chidyagwai, and collaboration with Rodolfo Ruben Rosales, DMS-1115278)
  • 09/2010 - 08/2013, NSF grant DMS-1007899
    Collaborative Research: Phantom traffic jams, continuum modeling, and connections with detonation wave theory
    (PI, collaboration with Rodolfo Ruben Rosales, DMS-1007967)
  • 07/2008 - 06/2013, NSF grant DMS-0813648
    Capturing subgrid structures with level set methods
    (Co-PI, with PI Rodolfo Ruben Rosales and Co-PI Jean-Christophe Nave)
Conference and Seminar Organization
2012-present    Computational Research on Owlsnest (CROO) Symposium
2011-present    Mid Atlantic Numerical Analysis Day
2009-present    Temple University Applied Mathematics and Scientific Computing Seminar
2009-2012        Temple University Mathematics Colloquium
2008-2009        MIT seminar Numerical Methods for Partial Differential Equations
Memberships and Professional Activities Office
  • Associate Editor for
    • IEEE Transactions on Intelligent Transportation Systems (2016-present)
  • Peer-Reviewing for
    • Communications in Computational Physics
    • Communications in Mathematical Sciences
    • Computers and Mathematics with Applications
    • Computer Methods in Applied Mechanics and Engineering
    • IEEE Transactions on Intelligent Transportation Systems
    • 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
    • Journal of Physics A
    • Journal of Statistical Physics
    • Mathematical Modelling and Numerical Analysis
    • Numerische Mathematik
    • SIAM Journal on Applied Mathematics
    • SIAM Journal on Numerical Analysis
    • SIAM Journal on Scientific Computing
    • SIAM Review
    • Transportation Research Record
    • Transportation Science
  • Panel service for the National Science Foundation
  • External reviewing for
  • Organizing committee member for the
    • 2018 SIAM Nonlinear Waves and Coherent Structures conference
  • Member of the Society for Industrial and Applied Mathematics