{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "List of keyboard shortcuts:\n", "1. \"Ctrl-Enter\" - Run a cell\n", "2. \"Shift-Enter\" - Run a cell and go to the next cell\n", "3. \"Enter\" - Start editing cell\n", "4. \"Escape\" - Stop editing cell\n", "5. \"x\" - delete current cell\n", "6. \"a\" - create a new cell above\n", "7. \"b\" - create a new cell below\n", "\n", "**Make sure you run every cell when you first load this file.**\n", "\n", "**If you change a value in a cell, you need to run it for the effect to take place.**\n", "\n", "**If the computation is taking too long, you can interupt the computation in the Kernel menu above.**" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "sin=np.sin\n", "cos=np.cos\n", "exp=np.exp\n", "from IPython.display import clear_output\n", "x,y = var('x y')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Enter the value of the function and the negative gradient in the cell below**" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "f(x,y)= x^2+y^2 + x * y # Change the value of the function f. Make sure to explicitly denote multiplication\n", "neg_grad_f=\"\"\"\n", "( -(2*x + y) , -(2*y +x) )\n", "\"\"\" # Change the vector field on the line above. (Do not indent) \n", " # Make sure to denote multiplication explicitly \n", "\n", "neg_grad_f_= vector(eval(neg_grad_f))\n", "def neg_grad_f__(x,y): return vector(eval(neg_grad_f)) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Change the step size, starting point, and the number of interations in the cell below**\n", "\n", "You might need to try different values for the step size and the number of iterations for your computation." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "delta_t = 0.1 # Change this value to adjust the step size\n", "starting_point= vector(\n", " (-1,0) # Change this value to adjust the starting point\n", ") \n", "number_of_iterations = 50 #Change this value to adjust the number of iteration of the algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Running the cell below will iterate the Euler's algorithm**\n", "\n", "As the algorithm runs, it shows the coordinates of the point $c_i$ and the value of $f$ at $c_i$." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(-0.00286, 0.00286) is the 50th point\n", "The value of f at this point is: 0.00001\n", "The last point is (-0.00286,0.00286)\n" ] } ], "source": [ "c=[starting_point]\n", "for i in range(number_of_iterations):\n", " new_point= c[i] + delta_t * neg_grad_f__(*tuple(c[i]))\n", " c.append(new_point)\n", " clear_output(wait=True)\n", " print(\"(%.5f, %.5f)\"% (tuple(c[i])) + \" is the %dth point\" % (i+1))\n", " print(\"The value of f at this point is: %.5f\" % f(*tuple(c[i])))\n", "print (\"The last point is (%.5f,%.5f)\" % tuple(c[i]))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "graph_bounds=(\n", " (x,-1,0), (y,0 ,0.5) # Change the x and y bounds of the graph\n", ")\n", "scatter_plot(c)+ plot_vector_field(neg_grad_f_, *graph_bounds)" ] }, { "cell_type": "code", "execution_count": 0, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "SageMath 9.0", "language": "sage", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }