I am a professor in the Department of Mathematical Sciences at NJIT. My research applies methods of dynamical systems to (conservative, dispersive) nonlinear wave equations arising, for example, in optics and fluid mechanics. I am interested in dynamical and bifurcation phenomena, and I use techniques from Hamiltonian mechanics and perturbation theory, as well as extensive computations. My current research in vortex dynamics is supported by the NSF under DMS-2206016.

Interests
  • Nonlinear Waves
  • Dynamical Systems
  • Computation
Education

  • PhD, Mathematical Sciences, 1999

    New York University

  • BS, Mathematics, 1994

    University of Michigan

Recent Posts

How should we LaTeX?
When I wrote this post, I had just learned about the physics package for $\LaTeX$ which can make typesetting a lot of the things I work on a lot easier.
Last updated on Feb 6, 2023 14 min read
Relaunching dfield & pplane
I’m happy to report that my work here has been rendered obsolete. Brian Hong at the Mathworks has written new programs that are sleek and modern and in every way superior.
Last updated on Jun 22, 2023 4 min read
Relaunching dfield & pplane
Summary of Responses to my post to the SIAG-DS mailing list
The email On January 5 I sent this post to the SIAG-DS mailing list about the old MATLAB programs dfield and pplane. I posted the same question to the Facebook group STEM faculty blundering through remote teaching in a pandemic.
Last updated on Sep 3, 2022 6 min read

Popular Topics

$\phi^4$ equation BEC Bifurcation current Fluid mechanics GFD Invariant manifold computation Network inference NLCME Nonlinear optics Nonlinear Schrödinger equation optics Optimal control past previous Quantum graphs sine-Gordon equation Solitary wave collisions solitary waves Vortices

Contact

  • goodman@njit.edu
  • 973 642 4261
  • Department of Mathematical Sciences, University Heights, Newark, NJ 07102
  • 504A Cullimore Hall. If coming from Newark Penn Station, go to the Newark Light Rail, buy an Underground Fare from the machine for $0.75, validate it, and board at the far track for a train bound for Branch Brook Park or Grove Street. Get out at Warren Street/NJIT.
  • Tuesday/Friday 2:50-3:50
  • DM Me
  • Personal Webex Room