General Mathematics Colloquium
Speaker: Jason Frank (UU).
Title: A tangent space splitting method for data assimilation: shadowing and synchronization
We start with an introduction to Lyapunov exponents, their computation, and their role in synchronization of chaotic systems and shadowing of hyperbolic systems. Next we discuss how these ideas can be combined to construct a data assimilation method. In this method, we iteratively solve for a model trajectory on an assimilation window. The update is split into its components in the unstable and stable tangent spaces. Newton iteration is applied in the unstable directions, followed by a forward integration to synchronize the unstable directions
Location: KdVI meeting room, Science Park 107, room F3.20.
Science Park 107
Science Park 107 | 1098 XG AmsterdamGo to detailpage