Lectures at Curitiba and internal waves
05 Apr 2016During these two weeks (1st – 14th of April 2016) I will be in Curitiba, Brazil to deliver some lectures on the Numerical Analysis at a PhD school in PUCPR University. I found on YouTube a short video presenting this University:
The Lecture notes are already available. They will be probably updated in the nearest future to the latest version (including some minor corrections and perhaps some new material):
- D. Dutykh. A brief introduction to pseudo-spectral methods: application to diffusion problems, Lecture Notes, 2016
Otherwise, recently with Didier Clamond we submitted a new mauscript where we report the multi-symplectic structure for the Green-Naghdi-type system describing long internal waves evolution. It seems that this system was derived for the first by E. Barthélémy (1989) in his PhD thesis done at the University of Grenoble. For simplicity, we adopt the rigid lid approximation, but the multi-symplectic structure can be generalized to the free surface case as well. The preprint is already freely available to download:
- D. Clamond, D. Dutykh. Multi-symplectic structure of fully-nonlinear weakly-dispersive internal gravity waves, Submitted, 2016
Any comments and suggestions are welcome!