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# On Galerkin approximations for the QG equations

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## Supplementary materials

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\n", "Cesar B. Rocha*\n", ", William R. Young, and Ian Grooms \n", "

\n", "Winter 2015 \n", "

\n", "*Scripps Institution of Oceanography, University of California, San Diego, 9500 Gilman Dr. MC 0213, La Jolla, CA/USA, \n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###The Eady problem " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
• Base-state and linear stability analysis
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• The Eady base-state approximate PV
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• Approximation A spurius unstable modes: wave structure in the $(x,z)$-plane
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• Approximation A
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• Approximation C
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• The $\\beta$-Eady linear stability analysis
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• Finite differences solution: Charney mode wave structure in the $(x,z)$-plane
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• Approximation A
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• Approximation B
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• Approximation C
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• Finite differences
• " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Extras" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can we get a sine out of cosines? An elementary example of Galerkin approximation\n", "

\n", "Algebra details" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }