@inbook{38806, keywords = {inertial manifolds, Manifold learning, Stiff equations}, author = {Gear and Kevrekidis and Sonday and Simos}, title = {Slow Manifold Integration on a Diffusion Map Parameterization}, abstract = {
We experiment with the the use of diffusion maps to parameterize a low-dimensional attracting manifold of a high-dimensional ODE system in order to be able to repeatedly compute trajectories on that manifold. By integrating directly on that manifold we can avoid the stiffness of the original system.
}, year = {2011}, journal = {Numerical Analysis and Applied Mathematics Icnaam 2011: International Conference on Numerical Analysis and Applied Math}, volume = {1389}, publisher = {Amer Inst Physics}, address = {Melville}, isbn = {978-0-7354-0956-9}, language = {English}, }