A Class of Non-oscillatory Dissipative Difference Schemes for Solving Hamilton-Jacobi Equations

Hamilton-Jacobi(H-J) equations are closely related to hyperbolic conservation laws.Based on their relations and non-oscillatory and non-free-parameter dissipation(NND) schemes of solving one dimensional hyperbolic conservation laws,a class of difference schemes for one dimensional H-J equation are presented.Several typical numerical experiments show that these schemes have advantages of low evaluated cost and high resolution.