# Meeting Details

For more information about this meeting, contact Victor Nistor, Jinchao Xu, Stephanie Zerby, Xiantao Li, Yuxi Zheng, Kris Jenssen, Hope Shaffer.

Title: Homogenization for a class of convex Hamilton-Jacobi equations Computational and Applied Mathematics Colloquium Hongkai Zhao, UC Irvine We propose a new formulation to compute effective Hamiltonians for homogenization of a class of Hamilton-Jacobi equations. Our formulation utilizes a special property for viscosity supersolutions of convex Hamilton-Jacobi equations. The key idea is how to link the effective Hamiltonian to a suitable effective equation. The main advantage of our formulation is that only one auxiliary equation needs to be solved in order to compute the effective Hamiltonian $\bar{H}(p)$ for all $p$. Error estimates and stability will be proved. Numerical algorithms based on fast sweeping method and numerical tests will be presented.

### Room Reservation Information

Room Number: MB106 03 / 16 / 2012 03:35pm - 04:25pm