#!/usr/bin/env python
# coding: utf-8

# <h1>On Galerkin approximations for the QG equations</h1> 
# <h2>Supplementary materials</h2>
# <p></p>
# </h3>Cesar B. Rocha*</h3>
# </h3>, William R. Young, and Ian Grooms </h3>
# <p></p>
# </h4>Winter 2015 </h4>
# <p></p>
# *Scripps Institution of Oceanography, University of California, San Diego, 9500 Gilman Dr. MC 0213, La Jolla, CA/USA, <crocha@ucsd.edu>
# 
# 
# 

# ###The Eady problem 

# <li><a href="http://nbviewer.ipython.org/github/crocha700/qg_vertical_modes/blob/master/eady_problem/linear_eady_galerk.ipynb">Base-state and linear stability analysis</a></li>
# <p></p>
# <li><a href="http://nbviewer.ipython.org/github/crocha700/qg_vertical_modes/blob/master/eady_problem/eady_base_state_pv.ipynb">The Eady base-state approximate PV</a></li>
# <p></p>
# <li><a href="http://nbviewer.ipython.org/github/crocha700/qg_vertical_modes/blob/master/eady_problem/wave_structure.ipynb">Approximation A spurius unstable modes: wave structure in the $(x,z)$-plane</a></li>
# <p></p>
# <p>Output data (click on "view raw" to download)</p>
# <p></p>
#     <li><a href="https://github.com/crocha700/qg_vertical_modes/blob/master/eady_problem/linear_eady_A.npz">Approximation A</a></li>
# <p></p>
# <li><a href="https://github.com/crocha700/qg_vertical_modes/blob/master/eady_problem/linear_eady_C.npz">Approximation C</a></li>

# ### The $\beta-$Eady problem

# <li><a href="http://nbviewer.ipython.org/github/crocha700/qg_vertical_modes/blob/master/beta_eady_problem/beta_eady_galerk.ipynb">The $\beta$-Eady linear stability analysis</a></li>
# <p></p>
# <li><a href="http://nbviewer.ipython.org/github/crocha700/qg_vertical_modes/blob/master/beta_eady_problem/beta_eady_galerk.ipynb">Finite differences solution: Charney mode wave structure in the $(x,z)$-plane</a></li>
# 
# <p></p>
# <p>Output data (click on "view raw" to download)</p>
# <p></p>
# <p></p>
#     <li><a href="https://github.com/crocha700/qg_vertical_modes/blob/master/beta_eady_problem/outputs/beta-eady_A.npz">Approximation A</a></li>
# <p></p>
#    <li><a href="https://github.com/crocha700/qg_vertical_modes/blob/master/beta_eady_problem/outputs/beta-eady_B.npz">Approximation B</a></li>
#    <p></p>
#    <li><a href="https://github.com/crocha700/qg_vertical_modes/blob/master/beta_eady_problem/outputs/beta-eady_C.npz">Approximation C</a></li>
#       <p></p>
#    <li><a href="https://github.com/crocha700/qg_vertical_modes/blob/master/beta_eady_problem/outputs/beta-eady_num.npz">Finite differences</a></li>

# ### Extras

# <a href="http://nbviewer.ipython.org/github/crocha700/qg_vertical_modes/blob/master/elementary_example/elementary_example.ipynb">Can we get a sine out of cosines? An elementary example of Galerkin approximation</a></li>
# <p></p>
# <a href="./supplementary_galerkin_qg.pdf">Algebra details</a></li>

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