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[PAST EVENT] Mathematics Colloquium
December 4, 2013
2:30pm - 3:30pm
Abstract:
Inertial manifolds of dynamical systems, which are finite dimensional, exponentially attracting, and positively invariant Lipschitz manifolds, play a significant role in studying long-time behaviors of dynamical systems. This talk will focus on how to compute inertial manifolds, and three different algorithms will be presented. The first two approaches are based on the classic Lyapunov-Perron method, where the manifold can be found by the fixed point theory. More precisely, they are Successive and the Newton's method in an appropriate Banach space. The third method is due to the Waveform Relaxation method. Numerical results will also be discussed.
Inertial manifolds of dynamical systems, which are finite dimensional, exponentially attracting, and positively invariant Lipschitz manifolds, play a significant role in studying long-time behaviors of dynamical systems. This talk will focus on how to compute inertial manifolds, and three different algorithms will be presented. The first two approaches are based on the classic Lyapunov-Perron method, where the manifold can be found by the fixed point theory. More precisely, they are Successive and the Newton's method in an appropriate Banach space. The third method is due to the Waveform Relaxation method. Numerical results will also be discussed.
Contact
Chi-Kwong Li