Yanghong Huang

Teaching

Spring 09
• MATH 33B Differential Equations
  
  Winter 09
• MATH 266B Applied Partial Differential Equations
  
  Fall 07
• MATH 142 Mathematical Models
  
  Winter 07
• MATH 32B, Lecture 3
• MATH 164, Lecture 1

Research

Research Interest
• Numerical Methods for Differential Equations
• Infinite-Dimensional Dynamical Systems and singularity solutions
• Free and moving boundary equations, viscosity solution
• Statistical Theory of Turbulence

Research Projects
• Hybrid Monte Carlo Simulation for Plasma (with Prof Russel Caflisch)
• Finite Time blow up and singularity of Aggregation Equation (with Prof Andrea Bertozzi)
• Optimization of Grating Coupler (with Prof Stanley Osher and Eli Yablonovitch)

Publications

1.     Yanghong Huang, Paul Roberts. Velocity distributions of MHD turbulence. Preprint

2.     Yanghong Huang, Andrea Bertozzi. Self-similar blowup solutions to an aggregation equation. Preprint

3.     Andris M. Dimits , Chiaming Wang , Russel Caflisch , Bruce I. Cohen, Yanghong Huang. Calculation of the Trubnikov and Nanbu Collision Kernels: Implications for Numerical Modeling of Coulomb Collisions. In press.

4.     Zhijun Tan, Yanghong Huang, An alternating Crank-Nicolson method for the numerical solution of the phase-field equations using adaptive moving meshes , International Journal for Numerical Methods in Fluids, Vol 56 Issue 9

5.     Yanghong Huang, Optimal Design for the Grating Coupler of Surface Plamons. Proceedings of the COMSOL Users Conference 2008, Boston