{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Practical #1: Solutions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setup\n",
    "First, we import the necessary libraries for the exercises."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.linalg import toeplitz\n",
    "import scipy.sparse as sp\n",
    "from scipy.sparse.linalg import spsolve, eigs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem 2: Constructing a Matrix from Diagonals\n",
    "Here, we construct the D2 matrix for N=16 using `np.diag`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of D2: (16, 16)\n",
      "Top-left 8x8 block of D2:\n",
      " [[-128.   64.    0.    0.    0.    0.    0.    0.]\n",
      " [  64. -128.   64.    0.    0.    0.    0.    0.]\n",
      " [   0.   64. -128.   64.    0.    0.    0.    0.]\n",
      " [   0.    0.   64. -128.   64.    0.    0.    0.]\n",
      " [   0.    0.    0.   64. -128.   64.    0.    0.]\n",
      " [   0.    0.    0.    0.   64. -128.   64.    0.]\n",
      " [   0.    0.    0.    0.    0.   64. -128.   64.]\n",
      " [   0.    0.    0.    0.    0.    0.   64. -128.]]\n"
     ]
    }
   ],
   "source": [
    "# Set parameters\n",
    "N = 16\n",
    "h = 2 / N\n",
    "\n",
    "# Create the main and off-diagonals\n",
    "main_diag = -2 * np.ones(N)\n",
    "off_diag = np.ones(N - 1)\n",
    "\n",
    "# Assemble the tridiagonal parts\n",
    "D2 = np.diag(main_diag) + np.diag(off_diag, k=1) + np.diag(off_diag, k=-1)\n",
    "\n",
    "# Add the corner elements for periodic boundary conditions\n",
    "D2[0, N-1] = 1\n",
    "D2[N-1, 0] = 1\n",
    "\n",
    "# Apply the scaling factor\n",
    "D2 = (1 / h**2) * D2\n",
    "\n",
    "# Print the result to verify\n",
    "print(\"Shape of D2:\", D2.shape)\n",
    "print(\"Top-left 8x8 block of D2:\\n\", D2[:8, :8])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem 3: Using SciPy for Special Matrices\n",
    "Now we construct the same matrix using `scipy.linalg.toeplitz`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Are the two matrices identical? True\n"
     ]
    }
   ],
   "source": [
    "# Define the first row of the (unscaled) circulant matrix\n",
    "# The elements are [-2, 1, 0, ..., 0, 1]\n",
    "c = np.zeros(N)\n",
    "c[0] = -2\n",
    "c[1] = 1\n",
    "c[N-1] = 1\n",
    "\n",
    "# Create the matrix using toeplitz and apply scaling\n",
    "D2_toeplitz = (1 / h**2) * toeplitz(c)\n",
    "\n",
    "# Verify that this method gives the same result\n",
    "print(f\"Are the two matrices identical? {np.allclose(D2, D2_toeplitz)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem 4: Generalising the Code\n",
    "A function is created to generate the D2 matrix for any given N."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For N=16, the shape of D2 is (16, 16)\n",
      "For N=32, the shape of D2 is (32, 32)\n",
      "For N=64, the shape of D2 is (64, 64)\n",
      "For N=128, the shape of D2 is (128, 128)\n"
     ]
    }
   ],
   "source": [
    "def create_D2(N):\n",
    "    \"\"\"\n",
    "    Creates the NxN second-derivative matrix with periodic boundaries.\n",
    "    \"\"\"\n",
    "    if N < 3:\n",
    "        raise ValueError(\"N must be 3 or greater.\")\n",
    "    \n",
    "    h = 2 / N\n",
    "    \n",
    "    # Use the more concise toeplitz method\n",
    "    c = np.zeros(N)\n",
    "    c[0] = -2\n",
    "    c[1] = 1\n",
    "    c[N-1] = 1\n",
    "    \n",
    "    D2 = (1 / h**2) * toeplitz(c)\n",
    "    return D2\n",
    "\n",
    "# Test the function with a for loop\n",
    "N_values = [16, 32, 64, 128]\n",
    "for n_val in N_values:\n",
    "    D2_matrix = create_D2(n_val)\n",
    "    print(f\"For N={n_val}, the shape of D2 is {D2_matrix.shape}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem 5: Applying the Matrix Operator\n",
    "We now use our matrix to perform a numerical differentiation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Set N and create the D2 matrix\n",
    "N = 16\n",
    "D2 = create_D2(N)\n",
    "\n",
    "# Define the vector x on [-1, 1)\n",
    "x = np.linspace(-1, 1, N, endpoint=False)\n",
    "\n",
    "# Could also use arange\n",
    "# x = np.arange(-1, 1, 2 / N)\n",
    "\n",
    "# Define the vector f\n",
    "f = np.sin(np.pi * x)\n",
    "\n",
    "# Calculate the matrix-vector product\n",
    "D2_f = D2 @ f\n",
    "\n",
    "# Create the plot\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(x, D2_f, '-o', label='D2 @ f')\n",
    "plt.title(\"Finite Difference Approximation of the Second Derivative\")\n",
    "plt.xlabel('x')\n",
    "plt.ylabel(\"Approximation of f''(x)\")\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem 6: Interpretation and Error Analysis\n",
    "The graph from Problem 5 shows a finite difference approximation of the second derivative of $f(x) = \\sin(\\pi x)$. The matrix $D2$ acts as a linear operator that, when applied to a vector representing a function sampled at discrete points, returns a vector that approximates the second derivative of that function at the same points.\n",
    "\n",
    "The shape of the plot, an inverted sine wave, is consistent with the exact second derivative, $f''(x) = -\\pi^2 \\sin(\\pi x)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate the exact second derivative\n",
    "fpp_exact = -np.pi**2 * np.sin(np.pi * x)\n",
    "\n",
    "# Calculate the error\n",
    "error = D2_f - fpp_exact\n",
    "\n",
    "# Create subplots\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 8), sharex=True)\n",
    "\n",
    "# Top plot: Approximation vs. Exact\n",
    "ax1.plot(x, D2_f, 'r--', label='Approximation (D2 @ f)')\n",
    "ax1.plot(x, fpp_exact, 'b-', label='Exact f\"(x)')\n",
    "ax1.set_title(\"Finite Difference Approximation vs. Exact Second Derivative\")\n",
    "ax1.set_ylabel(\"f''(x)\")\n",
    "ax1.grid(True)\n",
    "ax1.legend()\n",
    "\n",
    "# Bottom plot: Error\n",
    "ax2.plot(x, error, 'g-')\n",
    "ax2.set_title(\"Error in Approximation\")\n",
    "ax2.set_xlabel(\"x\")\n",
    "ax2.set_ylabel(\"Error\")\n",
    "ax2.grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem 7: Another Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 1. Redefine N and related variables\n",
    "N = 256\n",
    "D2 = create_D2(N)\n",
    "x = np.linspace(-1, 1, N, endpoint=False)\n",
    "\n",
    "# 2. Define the new f(x)\n",
    "f = np.exp(np.sin(np.pi * x))\n",
    "\n",
    "# 3. Define the exact second derivative as a lambda function\n",
    "fpp = lambda x_val: (np.pi**2) * np.exp(np.sin(np.pi * x_val)) * \\\n",
    "                    (np.cos(np.pi * x_val)**2 - np.sin(np.pi * x_val))\n",
    "\n",
    "# Calculate numerical and exact second derivatives\n",
    "D2_f = D2 @ f\n",
    "fpp_exact_vals = fpp(x)\n",
    "\n",
    "# 4. Create the first plot\n",
    "plt.figure(figsize=(12, 7))\n",
    "plt.plot(x, f, label='f(x) = $e^{\\\\sin(\\\\pi x)}$')\n",
    "plt.plot(x, D2_f, '--', label='Approximation (D2 @ f)')\n",
    "plt.plot(x, fpp_exact_vals, ':', label='Exact f\"(x)')\n",
    "plt.title(\"Function and its Second Derivatives (N=256)\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n",
    "# 5. Create the error plot in a new figure\n",
    "plt.figure(figsize=(12, 7))\n",
    "error = D2_f - fpp_exact_vals\n",
    "plt.plot(x, error)\n",
    "plt.title(\"Error in Finite Difference Approximation (N=256)\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"Error\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem 8: Solving a Differential Equation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Reset to parameters from problem 5\n",
    "N = 16\n",
    "D2 = create_D2(N)\n",
    "x = np.linspace(-1, 1, N, endpoint=False)\n",
    "f = np.sin(np.pi * x)\n",
    "\n",
    "# Define the matrix A\n",
    "I = np.eye(N)\n",
    "A = (D2 - I) / (1 + np.pi**2)\n",
    "\n",
    "# Solve the linear system Au = f for u\n",
    "u = np.linalg.solve(A, f)\n",
    "\n",
    "# Plot the solution\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(x, u, '-o', label='Numerical Solution u(x)')\n",
    "plt.plot(x, -np.sin(np.pi * x), 'r--', label='Exact Solution: -$\\\\sin$($\\\\pi$x)')\n",
    "plt.title(\"Solution to the Differential Equation\")\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('u(x)')\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Bonus Question\n",
    "The linear system we solved was $Au=f$. By substituting the definition of A, we get:\n",
    "$$ \\frac{D2 - I}{1+\\pi^2} u = f $$\n",
    "$$ (D2 - I)u = (1+\\pi^2)f $$\n",
    "$$ D2u - u = (1+\\pi^2)f $$\n",
    "\n",
    "Since $D2$ is our approximation for the second derivative operator $\\frac{d^2}{dx^2}$ and $f=\\sin(\\pi x)$, this is a discretized form of the differential equation:\n",
    "$$ u''(x) - u(x) = (1+\\pi^2)\\sin(\\pi x) $$\n",
    "The analytical solution to this ODE with periodic boundary conditions is $u(x) = -\\sin(\\pi x)$, which our numerical solution matches almost perfectly."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem 9: (Advanced) Sparse Matrices\n",
    "We re-implement the D2 matrix creation and the linear solve using sparse matrices, which is much more memory-efficient for large N."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_D2_sparse(N):\n",
    "    \"\"\"Creates a sparse NxN second-derivative matrix.\"\"\"\n",
    "    h = 2 / N\n",
    "    \n",
    "    # Construct the sparse matrix D2 from diagonals\n",
    "    diagonals = [np.ones(N), -2*np.ones(N), np.ones(N)]\n",
    "    offsets = [-1, 0, 1]\n",
    "    D2_sparse = sp.spdiags(diagonals, offsets, N, N, format='csc')\n",
    "\n",
    "    # Add periodic boundary conditions\n",
    "    D2_sparse[0, -1] = 1\n",
    "    D2_sparse[-1, 0] = 1\n",
    "    \n",
    "    return D2_sparse * (1/h**2)\n",
    "\n",
    "# Use a larger N to see the benefit\n",
    "N = 256\n",
    "D2_s = create_D2_sparse(N)\n",
    "x = np.linspace(-1, 1, N, endpoint=False)\n",
    "f = np.sin(np.pi * x)\n",
    "\n",
    "# Define sparse A\n",
    "I_s = sp.eye(N, format='csc')\n",
    "A_s = (D2_s - I_s) / (1 + np.pi**2)\n",
    "\n",
    "# Solve the sparse system\n",
    "u_sparse = spsolve(A_s, f)\n",
    "\n",
    "# Plot the solution\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(x, u_sparse, '-')\n",
    "plt.title(\"Solution using Sparse Matrices (N=256)\")\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('u(x)')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problem 10: (Advanced) Eigenvalues\n",
    "We compare the analytical eigenvalues with the numerical ones computed by NumPy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Use N=32 for a clear plot\n",
    "N = 32\n",
    "D2 = create_D2(N)\n",
    "h = 2/N\n",
    "\n",
    "# Calculate numerical eigenvalues\n",
    "numerical_eigenvalues = np.linalg.eigvals(D2)\n",
    "\n",
    "# Calculate analytical eigenvalues\n",
    "j = np.arange(N)\n",
    "analytical_eigenvalues = (2 / h**2) * (np.cos(2 * np.pi * j / N) - 1)\n",
    "\n",
    "# Sort both sets for comparison (numerical may have small imaginary noise)\n",
    "sorted_numerical = np.sort(np.real(numerical_eigenvalues))\n",
    "sorted_analytical = np.sort(analytical_eigenvalues)\n",
    "\n",
    "# Plot for comparison\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(sorted_numerical, 'ro', label='Numerical (from np.linalg.eigvals)', markersize=8, alpha=0.7)\n",
    "plt.plot(sorted_analytical, 'b-x', label='Analytical Formula', markersize=5)\n",
    "plt.title('Comparison of Analytical and Numerical Eigenvalues of D2')\n",
    "plt.xlabel('Index (sorted)')\n",
    "plt.ylabel('Eigenvalue')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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