# Meeting Details

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.