Group

Topics to be discussed in forthcoming weeks
(A list prepared during the first meeting on Tuesday, 8th February 2005)

Singular Value Decomposition (SVD), Lyapunov vectors, and Bred vectors
(Local) Ensenble Kalman filter
Particle filters (or how they can be "improved" using the information about low-dimensional behavior)
Spatial localization (of instabilities)
Attractors and low-dimensional manifolds
Restriction to lower (not necessarily "low") -dimensional manifolds

Here's the detailed discussion on these topics. (This list will be updated weekly with the discussion from previous week.)

Singular Value Decomposition (SVD), Lyapunov vectors, and Bred vectors: An introduction
- Bibliography
- Discussion on 15 February, 2005 (pdf) (ps)
- Discussion on 1 March, 2005 (pdf) (ps)
(Local) Ensenble Kalman filter
- Discussed on 22 March, 2005:
  E. Ott et al., "A Local Ensemble Kalman Filter for Atmospheric Data Assimilation," (pdf)
- The discussion continued on 29 March, 2005.
Some of the related papers can be found at http://keck2.umd.edu/weather/weather_publications.htm
A summary of discussions and some future directions. (pdf) (ps)
On April 26, Roy Choudhury presented the following paper and talked about ideas related to saturation of nonlinearity and validity of the linear assumption. Related reference --
R. Samelson, "Lyapunov, Floquet, and singular vectors for baroclinic waves,"
Nonlinear Processes in Geophysics, 8, 439-448 (2001) (pdf)
On May 3, we will not meet at SAMSI because Chris Jones is giving a talk at Duke. Details at Nonlinear Seminars page The title of his talk is "Do Forcing and Viscosity drive Chaotic Advection?"
Particle filters (or how they can be "improved" using the information about low-dimensional behavior)
On May 10, Amarjit Budharaja gave an introduction to particle filters.