Parallelization of search scheme in stable manifold method

The stable manifold method is used for solving Hamilton-Jacobi equations in nonlinear optimal controls. The method can find any order approximate numerical solutions, i.e., sufficiently close to exact one within a realistic computation time. However, the convergence speed of the numerical scheme is still dependent on an initial guess and problem settings, e.g., weights in cost functions. This paper presents the improvements of computational efficiency and search speed of the search scheme in terms of parallelization.