Research

I am an applied mathematician.  I was trained in developing and analyzing numerical methods for approximating solutions of time-dependent nonlinear problems.  My current research focuses on biological and medical applications.  The list below summarizes my research interests.  More specific information can be obtained by looking at my publications.  Other places you might want to explore are the summaries of selected projects (under construction), the research photo gallery, and the photos of some of the conferences I participated in.

BioMedical Applications

  • Radiation oncology (See the webpage of my collaborator Lei Xing from Radiation Oncology, Stanford University)
  • Cell Motility (See the webpage of my collaborator Devaki Bhaya from the Department of Plant Biology, Stanford University)


Other Applications

  • Environmental and atmospheric sciences
  • Computational fluid dynamics
  • Signal and image processing
  • Nonlinear waves 

Numerical Methods for Time-Dependent Problems

  • Conservation laws
  • Hamilton-Jacobi equations
  • Balance laws
  • Reaction-diffusion equations

Nonlinear phenomena

  • Nonlinear time-dependent partial differential equations
  • Hyperbolic conservation laws
  • Hamilton-Jacobi equations
  • Dispersive equations
                                         © Doron Levy 2014