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@heathhenley
Created May 27, 2024 18:50
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numerical_methods.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyOjk89dSulQ3kz84wHpaYKN",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/heathhenley/98d7e8871de0738713b41f651ed9ec6e/numerical_methods.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"x = np.linspace(0.01, 1.0, 100)\n",
"X, Y = np.meshgrid(x, x)\n",
"G = X * np.log(X) + Y * np.log(Y)\n",
"plt.contourf(X, Y, G, 10)\n",
"plt.xlabel(\"X1\")\n",
"plt.ylabel(\"X2\")\n",
"plt.plot(0.3678, 0.3678, 'ro')"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 473
},
"id": "WOE6JM7uMpRO",
"outputId": "8bd90e0a-9a15-4b17-86dd-526ef7aac7e6"
},
"execution_count": 167,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7a1f80ae9ba0>]"
]
},
"metadata": {},
"execution_count": 167
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"import collections\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"\n",
"def g(x):\n",
" return np.sum(x * np.log(x))\n",
"\n",
"def dg(x):\n",
" return np.log(x) + 1.0\n",
"\n",
"def d2g(x):\n",
" return 1.0 / x\n",
"\n",
"def jacobi(x):\n",
" j = np.zeros((x.shape[0], x.shape[0]))\n",
" np.fill_diagonal(j, 1/x)\n",
" return j\n",
"\n",
"res = collections.defaultdict(list)\n",
"\n",
"step_size = learning_rate = 0.2\n",
"eps = 1e-12\n",
"\n",
"x0 = [0.8, 0.2]\n",
"# gradient descent, two variables x1, x2\n",
"# minimize g - just stop when the derivatives are zero\n",
"x = np.array(x0)\n",
"residual = 1.0\n",
"i = 0\n",
"while residual > eps:\n",
" residual = np.dot(dg(x).T, dg(x))\n",
" res[f'GD(lr={step_size:.1f})'].append([i, x, residual])\n",
" x = x - step_size * dg(x)\n",
" i += 1\n",
"\n",
"# newton raphson\n",
"x = np.array(x0)\n",
"residual = 1.0\n",
"i = 0\n",
"while residual > eps:\n",
" residual = np.dot(dg(x).T, dg(x))\n",
" res['NR'].append([i, x, residual])\n",
" dx = np.linalg.solve(jacobi(x), -dg(x))\n",
" x = x + dx\n",
" i += 1\n",
"\n",
"\n",
"# Plots\n",
"x = np.linspace(0.01, 1.0, 100)\n",
"X, Y = np.meshgrid(x, x)\n",
"G = X * np.log(X) + Y * np.log(Y)\n",
"plt.contourf(X, Y, G, 30)\n",
"plt.xlabel(\"X1\")\n",
"plt.ylabel(\"X2\")\n",
"plt.plot(0.3678, 0.3678, 'ro', label='actual')\n",
"plt.plot(*x0, 'b.', label=\"start\")\n",
"\n",
"# plot gd paths on the figure\n",
"for method, path in res.items():\n",
" xs = [r[1][0] for r in path]\n",
" ys = [r[1][1] for r in path]\n",
" plt.plot(xs, ys, '.-', label=method)\n",
"plt.legend();\n",
"\n",
"#plt.figure()\n",
"# plot gd paths on the figure\n",
"#for method, path in res.items():\n",
"# i = [r[0] for r in path]\n",
"# res = [r[2] for r in path]\n",
"# plt.plot(i, np.log10(res), '.-', label=method)\n",
"#plt.xlabel(\"iteration\")\n",
"#plt.ylabel(\"log10(res)\")\n",
"#plt.legend();\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 455
},
"id": "VYpagzvQ8YXc",
"outputId": "43fcc446-8743-44a3-93c2-3b73235d59fa"
},
"execution_count": 168,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"x1 = np.linspace(0, 1, 200)\n",
"x2 = 1.0 - x1\n",
"plt.figure()\n",
"plt.contour(X, Y, G, 30)\n",
"plt.xlabel(\"X1\")\n",
"plt.ylabel(\"X2\")\n",
"plt.plot(0.3678, 0.3678, 'ro', label='unconstrained min.')\n",
"plt.plot(0.5, 0.5, 'k^', label='constrained min.')\n",
"plt.plot(x1, x2, 'r-.', label='x1 + x2 = 1')\n",
"plt.xlim([0.01, 1])\n",
"plt.ylim([0.01, 1])\n",
"plt.legend()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 473
},
"id": "BmhMhhH8Qcx1",
"outputId": "b09a3f30-05d6-42eb-b031-53b441187c42"
},
"execution_count": 169,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7a1f808b9b40>"
]
},
"metadata": {},
"execution_count": 169
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"import numpy as np\n",
"import scipy\n",
"\n",
"p = 10.0\n",
"# constants, species and T specific\n",
"gf = np.array([-28.72, -63.57, -33.05, 0.0])\n",
"\n",
"# starting values\n",
"x_start = np.array([\n",
" 2.0, # CO\n",
" 0.0, # CO2\n",
" 2.0, # H2O\n",
" 0.0 # H2\n",
"])\n",
"\n",
"aij = np.array([\n",
"# co, co2, h2o, h2\n",
" [1, 1, 0, 0], # c\n",
" [0, 0, 2, 2], # h\n",
" [1, 2, 1, 0], # o\n",
"])\n",
"\n",
"# this is used to enforce constraints based on starting moles\n",
"n_element_tot = np.matmul(aij, x_start)\n",
"n_tot = np.sum(n_element_tot)\n",
"\n",
"\n",
"def lagrange(x):\n",
" # Returns the system of equations we got by differentiating the\n",
" # Lagranian and setting all the partial derivatives to zero\n",
" # This uses 'lagrange mulipliers' to enforce the mass balance\n",
" # constraints, but not to enforce the ni > 0 constraint, we could\n",
" # use homotopy for that (maybe another post or continuation)\n",
" #\n",
" n = np.sum(x[:4]) # total moles\n",
" # these are the partial derivatives of (nG/RT) wrt each species\n",
" g = gf + np.log(x[:4]/n) + np.log(p) + np.matmul(x[4:], aij)\n",
" # these are the constraints from element balance (the partial derivatives wrt\n",
" # to the lagrange multipiers end up just being the constaints)\n",
" constraints = np.matmul(aij, x[:4]) - n_element_tot\n",
" return np.concatenate((g, constraints))\n",
"\n",
"def jac(x):\n",
" # for scipy minimize if we want\n",
" n = np.sum(x[:4])\n",
" return gf + np.log(x[:4]/n) + np.log(p)\n",
"\n",
"def gibbs(x):\n",
" return np.sum(x*(gf + np.log(x/np.sum(x)) + np.log(p)))\n",
"\n",
"\n",
"# this is a guess of the solution\n",
"# n is [nco, nco2, nh2o, nh2, lc, lh, lo]\n",
"n0 = np.array([1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0])\n",
"\n",
"# Solve the lagrange problem lagrange((n, l)) = 0\n",
"# this will tell us if we formulated correctly:\n",
"res = scipy.optimize.fsolve(lagrange, n0)\n",
"print(\"LM scipy fsolve: \", res[:4]/sum(res[:4]))\n",
"print(\" ni:\", res[:4])\n",
"print(\" lambda:\", res[4:])\n",
"\n",
"# Turns out, we don't actually need to build the constraints into the\n",
"# function we pass to scipy.optimize, we can just pass them in as constraints\n",
"# and scipy will handle it for us. We can also pass in the jacobian if we want,\n",
"# if we don't, it will use numerical derivatives.\n",
"# Using built in minimization with constraints\n",
"cons = (\n",
" {'type': 'eq', 'fun': lambda x: np.matmul(aij, x) - n_element_tot},\n",
")\n",
"res = scipy.optimize.minimize(gibbs, n0[:4], constraints=cons, jac=jac)\n",
"print(\"\\nScipy minimize (constained) our derivatives:\", res.x/np.sum(res.x))\n",
"print(res)\n",
"\n",
"res = scipy.optimize.minimize(gibbs, n0[:4], constraints=cons)\n",
"print(\"\\nScipy minimize (constained) numerical derivates:\", res.x/np.sum(res.x))\n",
"print(res)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "DE_5QHcJkQ0s",
"outputId": "cba5a425-af8b-4854-9161-ae417a54277c"
},
"execution_count": 170,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"LM scipy fsolve: [0.14452525 0.35547475 0.14452525 0.35547475]\n",
" ni: [0.57810099 1.42189901 0.57810099 1.42189901]\n",
" lambda: [-5.59828404 -0.63414202 33.95 ]\n",
"\n",
"Scipy minimize (constained) our derivatives: [0.14454043 0.35545957 0.14454043 0.35545957]\n",
" message: Optimization terminated successfully\n",
" success: True\n",
" status: 0\n",
" fun: -122.06686384021432\n",
" x: [ 5.782e-01 1.422e+00 5.782e-01 1.422e+00]\n",
" nit: 4\n",
" jac: [-2.835e+01 -6.230e+01 -3.268e+01 1.268e+00]\n",
" nfev: 4\n",
" njev: 4\n",
"\n",
"Scipy minimize (constained) numerical derivates: [0.14454042 0.35545958 0.14454042 0.35545958]\n",
" message: Optimization terminated successfully\n",
" success: True\n",
" status: 0\n",
" fun: -122.0668638402304\n",
" x: [ 5.782e-01 1.422e+00 5.782e-01 1.422e+00]\n",
" nit: 4\n",
" jac: [-2.835e+01 -6.230e+01 -3.268e+01 1.268e+00]\n",
" nfev: 20\n",
" njev: 4\n"
]
}
]
}
]
}
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