CDSNS Colloquium: A numerical algorithm for the computation of periodic orbits of the Kuramoto-Sivashinsky equation.
Mon, 01/23/2012 - 11:05am, Skiles 006
Jordi Lluis Figueras, Uppsala University, Organizer: Rafael de la Llave
In this talk we will present a numerical algorithm for the computation of (hyperbolic) periodic orbits of the 1-D K-S equation u_t+v*u_xxxx+u_xx+u*u_x = 0, with v>0. This numerical algorithm consists on apply a suitable Newton scheme for a given approximate solution. In order to do this, we need to rewrite the invariance equation that must satisfy a periodic orbit in a form that its linearization around an approximate solution is a bounded operator. We will show also how this methodology can be used to compute rigorous estimates of the errors of the solutions computed.
Interests: