On discretizations of invariant foliations over inertial manifolds
Authors:
Gyula Farkas
Affiliation:
Formerly Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
Abstract:
Invariant foliations over inertial manifolds of partial differential equations under numerical discretizations are studied. It is proved that the numerical method considered as a discrete dynamical system has C1-close invariant foliations. The rate of the C1-convergence is estimated as well.
