Title: A new approximation for effective Hamiltonians for homogenization
of a class of Hamilton-Jacobi equations

Abstract:
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
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 are proved and numerical examples
are presented to show very encouraging results.