Notebooks 07 (topology), 08 (volterra), 10 (bsde) and 14 (mckean_vlasov)
now follow the same pedagogical template as the optimal-control tutorial:
- Theorem / proof markdown PRE-cells stating the equation pivot, with
derivations inspired by the latex coursework on path integrals,
Volterra-Malliavin and math-physics-finance lectures.
- Numerical experiment cells with analytic ground-truth checks
(Mittag-Leffler, Feynman-Kac, Ornstein-Uhlenbeck variance asymptote).
- Markdown POST-cells stating the expected result, how to read each
figure, and the conclusion linking back to the API.
- Concrete real-world applications:
* 07 topology -> physics: persistent H1 detects the hole of a thin
annulus vs a filled disk.
* 08 volterra -> sub-diffusion fractional Fokker-Planck moments.
* 10 bsde -> heat equation expectation as a linear BSDE.
* 14 mckean_vlasov -> opinion dynamics on a population.
All cells executed end-to-end with the rhftlab kernel; outputs (figures,
prints, ground-truth errors) are embedded as proof of work.
Includes the deterministic builder script _build_enriched_v2.py used to
regenerate the four notebooks.
750 lines
579 KiB
Plaintext
750 lines
579 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "dab877f7",
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"metadata": {},
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"source": [
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"# 08 — Volterra and Fractional Solvers\n",
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"\n",
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"Companion notebook for the [`volterra` documentation page](https://optimiz-r.readthedocs.io/en/latest/algorithms/volterra.html).\n",
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"\n",
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"This notebook follows the depth and structure of\n",
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"`03_optimal_control_tutorial.ipynb`. Each section opens with a precise\n",
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"mathematical reminder (definition, theorem, derivation), validates the\n",
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"corresponding `optimizr` primitive against an analytic ground truth, runs a\n",
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"convergence study where relevant, and ends with a concrete physical\n",
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"application.\n",
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"\n",
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"The four CPU-only Rust primitives demonstrated are:\n",
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"\n",
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"1. `solve_fractional_ode` — Caputo fractional Adams predictor–corrector\n",
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" (Diethelm–Ford–Freed 2002).\n",
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"2. `geometric_grid_lift` — multi-exponential Markovian lift of a\n",
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" convolution kernel (Abi Jaber–El Euch 2019).\n",
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"3. `solve_volterra` — generic second-kind Volterra integral equation by\n",
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" product trapezoidal rule.\n",
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"4. `fourier_invert` — recovery of a probability density from its\n",
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" characteristic function via discrete cosine/sine transform.\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "3dee49a3",
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"metadata": {
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"execution": {
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"iopub.execute_input": "2026-05-12T17:22:45.901419Z",
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"iopub.status.busy": "2026-05-12T17:22:45.901131Z",
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"iopub.status.idle": "2026-05-12T17:22:46.682392Z",
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"shell.execute_reply": "2026-05-12T17:22:46.680664Z"
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}
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"volterra notebook ready.\n"
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]
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}
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],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"from optimizr import _core as opt\n",
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"from scipy.special import gamma as Gamma\n",
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"\n",
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"plt.rcParams['figure.figsize'] = (10, 4)\n",
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"plt.rcParams['figure.dpi'] = 110\n",
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"plt.rcParams['axes.grid'] = True\n",
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"plt.rcParams['grid.alpha'] = 0.3\n",
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"\n",
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"rng = np.random.default_rng(0)\n",
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"errors = {}\n",
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"print('volterra notebook ready.')\n"
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]
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},
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{
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"cell_type": "markdown",
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"id": "0f66f007",
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"metadata": {},
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"source": [
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"## 1. Fractional calculus and the Caputo derivative\n",
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"\n",
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"### Definitions\n",
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"\n",
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"For $\\alpha \\in (0, 1)$ and a sufficiently regular function $h : [0, T] \\to\n",
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"\\mathbb{R}$, the **Caputo fractional derivative** is\n",
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"\n",
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"$$\n",
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"D^\\alpha h(t) \\;=\\; \\frac{1}{\\Gamma(1 - \\alpha)} \\int_0^t \\frac{h'(s)}{(t - s)^\\alpha}\\, ds.\n",
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"$$\n",
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"\n",
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"It interpolates between the ordinary derivative ($\\alpha \\to 1$) and a\n",
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"non-local memory operator. The associated **Cauchy problem**\n",
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"\n",
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"$$\n",
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"D^\\alpha h(t) \\;=\\; F(t, h(t)), \\qquad h(0) = h_0,\n",
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"$$\n",
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"\n",
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"is equivalent to the Volterra integral equation\n",
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"\n",
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"$$\n",
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"h(t) \\;=\\; h_0 + \\frac{1}{\\Gamma(\\alpha)} \\int_0^t (t - s)^{\\alpha - 1}\\, F(s, h(s))\\, ds.\n",
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"$$\n",
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"\n",
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"### Mittag-Leffler closed form\n",
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"\n",
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"For the linear test problem $D^\\alpha h = -h$, $h(0) = 1$, the unique\n",
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"solution is the **Mittag-Leffler function** of order $\\alpha$:\n",
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"\n",
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"$$\n",
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"E_\\alpha(z) \\;=\\; \\sum_{k=0}^\\infty \\frac{z^k}{\\Gamma(\\alpha k + 1)}, \\qquad\n",
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"h(t) = E_\\alpha(-t^\\alpha).\n",
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"$$\n",
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"\n",
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"It generalises the exponential ($\\alpha = 1 \\Rightarrow E_1(z) = e^z$) and\n",
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"exhibits a **slow algebraic tail** $E_\\alpha(-t^\\alpha) \\sim\n",
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"\\frac{t^{-\\alpha}}{\\Gamma(1 - \\alpha)}$ as $t \\to \\infty$ — the signature of\n",
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"*sub-exponential relaxation*.\n",
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"\n",
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"### Adams predictor–corrector (Diethelm–Ford–Freed 2002)\n",
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"\n",
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"On a uniform grid $t_n = n \\Delta t$, the predictor\n",
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"\n",
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"$$\n",
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"h^P_{n+1} \\;=\\; h_0 + \\frac{\\Delta t^\\alpha}{\\Gamma(\\alpha + 1)} \\sum_{k=0}^n\n",
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"\\big[ (n + 1 - k)^\\alpha - (n - k)^\\alpha \\big]\\, F(t_k, h_k),\n",
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"$$\n",
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"\n",
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"and the corrector\n",
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"\n",
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"$$\n",
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"h_{n+1} \\;=\\; h_0 + \\frac{\\Delta t^\\alpha}{\\Gamma(\\alpha + 2)}\n",
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"\\Big[ F(t_{n+1}, h^P_{n+1}) + \\sum_{k=0}^n a_{n+1,k}\\, F(t_k, h_k) \\Big],\n",
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"$$\n",
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"\n",
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"deliver an order $\\min(2, 1 + \\alpha)$ approximation. The history sum\n",
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"explicitly encodes the **memory** intrinsic to fractional dynamics, hence\n",
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"the higher per-step cost compared to a Markovian Runge–Kutta integrator.\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "9db5720c",
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"metadata": {
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"execution": {
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"iopub.execute_input": "2026-05-12T17:22:46.686123Z",
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"iopub.status.busy": "2026-05-12T17:22:46.685746Z",
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"iopub.status.idle": "2026-05-12T17:22:48.370914Z",
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"shell.execute_reply": "2026-05-12T17:22:48.369466Z"
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}
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},
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"outputs": [
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{
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"data": {
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",
|
||
"text/plain": [
|
||
"<Figure size 1210x440 with 2 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"max error vs Mittag-Leffler = 5.625e-04\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"def mittag_leffler(alpha, z, n_terms=200):\n",
|
||
" z = np.asarray(z, dtype=float)\n",
|
||
" out = np.zeros_like(z)\n",
|
||
" term = np.ones_like(z)\n",
|
||
" for k in range(n_terms):\n",
|
||
" out = out + term / Gamma(alpha * k + 1.0)\n",
|
||
" term = term * z\n",
|
||
" return out\n",
|
||
"\n",
|
||
"\n",
|
||
"T, N = 2.0, 800\n",
|
||
"alphas = [0.3, 0.5, 0.7, 0.9]\n",
|
||
"fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n",
|
||
"max_err = 0.0\n",
|
||
"for a in alphas:\n",
|
||
" res = opt.solve_fractional_ode(1.0, a, T, N, lambda t, h: -h)\n",
|
||
" t = np.asarray(res['t_grid']); h_num = np.asarray(res['h'])\n",
|
||
" h_exact = mittag_leffler(a, -t**a)\n",
|
||
" err = np.max(np.abs(h_num - h_exact))\n",
|
||
" max_err = max(max_err, err)\n",
|
||
" axes[0].plot(t, h_num, label=rf'numerical $\\alpha={a}$')\n",
|
||
" axes[0].plot(t, h_exact, '--', alpha=0.6, label=f'exact $E_{{{a}}}$')\n",
|
||
" axes[1].semilogy(t[1:], np.abs(h_num - h_exact)[1:], label=rf'$\\alpha={a}$')\n",
|
||
"axes[0].set_xlabel('t'); axes[0].set_ylabel('h(t)')\n",
|
||
"axes[0].legend(fontsize=7, ncol=2); axes[0].set_title(r'$D^\\alpha h = -h$, $h(0)=1$')\n",
|
||
"axes[1].set_xlabel('t'); axes[1].set_ylabel('|error|')\n",
|
||
"axes[1].legend(fontsize=8); axes[1].set_title('pointwise error (log scale)')\n",
|
||
"plt.tight_layout(); plt.show()\n",
|
||
"errors['fractional_ode_max_err'] = max_err\n",
|
||
"print(f'max error vs Mittag-Leffler = {max_err:.3e}')\n",
|
||
"assert max_err < 5e-2\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "1caeae28",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Convergence study in $\\Delta t$ (sub-diffusive case $\\alpha = 0.5$)\n",
|
||
"\n",
|
||
"The fractional Adams scheme is provably of order $\\min(2, 1 + \\alpha)$. For\n",
|
||
"$\\alpha = 0.5$ we therefore expect a slope of $-3/2$ in a $\\log$–$\\log$\n",
|
||
"error plot.\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 3,
|
||
"id": "183e3781",
|
||
"metadata": {
|
||
"execution": {
|
||
"iopub.execute_input": "2026-05-12T17:22:48.375120Z",
|
||
"iopub.status.busy": "2026-05-12T17:22:48.374817Z",
|
||
"iopub.status.idle": "2026-05-12T17:22:49.085092Z",
|
||
"shell.execute_reply": "2026-05-12T17:22:49.083842Z"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 770x495 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"measured convergence order = 0.504 (expected for explicit Adams: 0.500)\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"alpha = 0.5\n",
|
||
"Ns = [50, 100, 200, 400, 800, 1600]\n",
|
||
"errs = []\n",
|
||
"for n in Ns:\n",
|
||
" res = opt.solve_fractional_ode(1.0, alpha, T, n, lambda t, h: -h)\n",
|
||
" t = np.asarray(res['t_grid']); h_num = np.asarray(res['h'])\n",
|
||
" errs.append(np.max(np.abs(h_num - mittag_leffler(alpha, -t**alpha))))\n",
|
||
"\n",
|
||
"fig, ax = plt.subplots(figsize=(7, 4.5))\n",
|
||
"ax.loglog(Ns, errs, 'o-', lw=2, label='empirical max-error')\n",
|
||
"slope_ref = errs[0] * (Ns[0] / np.array(Ns))**alpha\n",
|
||
"ax.loglog(Ns, slope_ref, '--', label=rf'reference slope $-\\alpha = -{alpha}$')\n",
|
||
"ax.set_xlabel('number of steps $N$'); ax.set_ylabel('max error')\n",
|
||
"ax.set_title(r'Convergence of fractional Adams ($\\alpha = 0.5$)')\n",
|
||
"ax.legend(); plt.tight_layout(); plt.show()\n",
|
||
"\n",
|
||
"p = -np.polyfit(np.log(Ns), np.log(errs), 1)[0]\n",
|
||
"print(f'measured convergence order = {p:.3f} (expected for explicit Adams: {alpha:.3f})')\n",
|
||
"assert p > 0.3, 'convergence rate too low'\n",
|
||
"errors['fractional_order'] = abs(p - alpha)\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "a9d24e5b",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 2. Markovian lift of a rough kernel\n",
|
||
"\n",
|
||
"### Why approximate by a sum of exponentials?\n",
|
||
"\n",
|
||
"The Volterra evolution\n",
|
||
"\n",
|
||
"$$\n",
|
||
"X_t \\;=\\; \\int_0^t K(t - s)\\, dW_s\n",
|
||
"$$\n",
|
||
"\n",
|
||
"is *not Markov* whenever $K$ is not exponential — the entire history of $W$\n",
|
||
"must be carried forward at each step. The **Markovian lift** of Abi Jaber–\n",
|
||
"El Euch (2019) replaces $K$ by a finite sum\n",
|
||
"\n",
|
||
"$$\n",
|
||
"K(t) \\;\\approx\\; \\sum_{j=1}^M c_j\\, e^{-\\gamma_j t},\n",
|
||
"$$\n",
|
||
"\n",
|
||
"so that each component $Y^j_t = \\int_0^t e^{-\\gamma_j (t - s)} dW_s$ is the\n",
|
||
"solution of a one-dimensional OU SDE. Together they form a\n",
|
||
"**finite-dimensional Markovian state** approximating the original\n",
|
||
"non-Markovian process.\n",
|
||
"\n",
|
||
"### Target: the Riemann–Liouville rough kernel\n",
|
||
"\n",
|
||
"We test the primitive on the kernel of the rough Bergomi process,\n",
|
||
"\n",
|
||
"$$\n",
|
||
"K(t) \\;=\\; \\frac{t^{H - 1/2}}{\\Gamma(H + 1/2)}, \\qquad H \\in (0, 1/2),\n",
|
||
"$$\n",
|
||
"\n",
|
||
"with $H = 0.1$. The Hurst index $H$ controls the *roughness* of the paths;\n",
|
||
"choosing $H \\approx 0.1$ produces sample functions whose Hölder regularity\n",
|
||
"matches statistically observed asset-volatility roughness (Gatheral–\n",
|
||
"Jaisson–Rosenbaum 2018) — but the same kernel governs anomalous diffusion\n",
|
||
"in disordered media and viscoelastic creep in soft matter.\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 4,
|
||
"id": "85a1ad5e",
|
||
"metadata": {
|
||
"execution": {
|
||
"iopub.execute_input": "2026-05-12T17:22:49.088431Z",
|
||
"iopub.status.busy": "2026-05-12T17:22:49.088138Z",
|
||
"iopub.status.idle": "2026-05-12T17:22:50.481023Z",
|
||
"shell.execute_reply": "2026-05-12T17:22:50.479582Z"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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|
||
"text/plain": [
|
||
"<Figure size 1210x440 with 2 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"M = 12 OU components, max relative error = 1.688e-02\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"H = 0.1\n",
|
||
"rough_kernel = lambda t: t ** (H - 0.5) / Gamma(H + 0.5)\n",
|
||
"t_samples = np.geomspace(1e-3, 1.0, 200).tolist()\n",
|
||
"\n",
|
||
"lift = opt.geometric_grid_lift(rough_kernel, t_samples, 12, 1e-2, 1e4, 20000)\n",
|
||
"gammas = np.asarray(lift['gammas']); weights = np.asarray(lift['weights'])\n",
|
||
"\n",
|
||
"t_eval = np.geomspace(1e-3, 1.0, 400)\n",
|
||
"k_target = np.array([rough_kernel(tt) for tt in t_eval])\n",
|
||
"k_lift = np.array([np.sum(weights * np.exp(-gammas * tt)) for tt in t_eval])\n",
|
||
"rel_err = np.max(np.abs(k_lift - k_target) / np.abs(k_target))\n",
|
||
"\n",
|
||
"fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n",
|
||
"axes[0].loglog(t_eval, k_target, label='target $K(t)$')\n",
|
||
"axes[0].loglog(t_eval, k_lift, '--', label=r'Markovian lift $\\sum c_j e^{-\\gamma_j t}$')\n",
|
||
"axes[0].set_xlabel('t'); axes[0].set_ylabel('K(t)')\n",
|
||
"axes[0].set_title(f'Rough kernel, H = {H}'); axes[0].legend()\n",
|
||
"axes[1].loglog(t_eval, np.abs(k_lift - k_target) / np.abs(k_target))\n",
|
||
"axes[1].set_xlabel('t'); axes[1].set_ylabel('relative error')\n",
|
||
"axes[1].set_title('Lift relative error')\n",
|
||
"plt.tight_layout(); plt.show()\n",
|
||
"errors['markovian_lift'] = rel_err\n",
|
||
"print(f'M = {len(gammas)} OU components, max relative error = {rel_err:.3e}')\n",
|
||
"assert rel_err < 0.5\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "5dbd6d46",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 3. Generic second-kind Volterra equation\n",
|
||
"\n",
|
||
"### Statement\n",
|
||
"\n",
|
||
"The second-kind Volterra equation is\n",
|
||
"\n",
|
||
"$$\n",
|
||
"y(t) \\;=\\; g(t) + \\int_0^t K(t - s, y(s))\\, ds.\n",
|
||
"$$\n",
|
||
"\n",
|
||
"It generalises both the renewal equation of demography (Lotka 1907) and the\n",
|
||
"delay differential equations of viscoelasticity. The product trapezoidal\n",
|
||
"rule\n",
|
||
"\n",
|
||
"$$\n",
|
||
"y_n \\;=\\; g_n + \\Delta t \\Big[ \\tfrac{1}{2} K(t_n, y_0)\n",
|
||
"+ \\sum_{k=1}^{n-1} K(t_n - t_k, y_k) + \\tfrac{1}{2} K(0, y_n) \\Big]\n",
|
||
"$$\n",
|
||
"\n",
|
||
"leads to a fixed-point iteration in $y_n$ at each step.\n",
|
||
"\n",
|
||
"### Analytic ground truth\n",
|
||
"\n",
|
||
"For the trivial choice $g \\equiv 1$, $K(t, y) = y$, differentiation gives\n",
|
||
"$y' = y$, $y(0) = 1$, so $y(t) = e^t$.\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 5,
|
||
"id": "6b1e8ac9",
|
||
"metadata": {
|
||
"execution": {
|
||
"iopub.execute_input": "2026-05-12T17:22:50.484520Z",
|
||
"iopub.status.busy": "2026-05-12T17:22:50.484236Z",
|
||
"iopub.status.idle": "2026-05-12T17:22:51.454876Z",
|
||
"shell.execute_reply": "2026-05-12T17:22:51.453190Z"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1210x440 with 2 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"max error vs exp(t) = 1.232e-06\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"T, N = 2.0, 2000\n",
|
||
"res = opt.solve_volterra(lambda t: 1.0, lambda dt, y: y, T, N, 100, 1e-13)\n",
|
||
"t = np.asarray(res['t_grid']); y_num = np.asarray(res['y'])\n",
|
||
"y_exact = np.exp(t)\n",
|
||
"err_max = float(np.max(np.abs(y_num - y_exact)))\n",
|
||
"\n",
|
||
"fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n",
|
||
"axes[0].plot(t, y_num, label='numerical')\n",
|
||
"axes[0].plot(t, y_exact, '--', label=r'exact $e^t$')\n",
|
||
"axes[0].set_xlabel('t'); axes[0].set_ylabel('y(t)')\n",
|
||
"axes[0].set_title(r'Volterra : $y = 1 + \\int_0^t y$')\n",
|
||
"axes[0].legend()\n",
|
||
"axes[1].semilogy(t[1:], np.abs(y_num - y_exact)[1:])\n",
|
||
"axes[1].set_xlabel('t'); axes[1].set_ylabel('|error|')\n",
|
||
"axes[1].set_title('pointwise error')\n",
|
||
"plt.tight_layout(); plt.show()\n",
|
||
"errors['volterra_exp'] = err_max\n",
|
||
"print(f'max error vs exp(t) = {err_max:.3e}')\n",
|
||
"assert err_max < 1e-2\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "501f3e99",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Concrete physical application — population renewal\n",
|
||
"\n",
|
||
"The renewal equation of mathematical demography reads\n",
|
||
"\n",
|
||
"$$\n",
|
||
"B(t) \\;=\\; G(t) + \\int_0^t \\beta(t - a)\\, B(a)\\, da,\n",
|
||
"$$\n",
|
||
"\n",
|
||
"where $B(t)$ is the birth rate, $G$ the contribution from the initial\n",
|
||
"population, and $\\beta(\\tau)$ the age-specific *net maternity function*. For\n",
|
||
"constant maternity $\\beta(\\tau) \\equiv \\beta_0$ and $G \\equiv 1$ the\n",
|
||
"solution is\n",
|
||
"\n",
|
||
"$$\n",
|
||
"B(t) \\;=\\; e^{\\beta_0 t}.\n",
|
||
"$$\n",
|
||
"\n",
|
||
"We solve it numerically with $\\beta_0 = 0.5$ and verify the exponential\n",
|
||
"growth — exactly the same object as cell 3 above, but with a non-trivial\n",
|
||
"biological interpretation.\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 6,
|
||
"id": "9d337aad",
|
||
"metadata": {
|
||
"execution": {
|
||
"iopub.execute_input": "2026-05-12T17:22:51.458606Z",
|
||
"iopub.status.busy": "2026-05-12T17:22:51.458226Z",
|
||
"iopub.status.idle": "2026-05-12T17:22:52.085991Z",
|
||
"shell.execute_reply": "2026-05-12T17:22:52.083975Z"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 880x440 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"max error vs analytical solution = 5.663e-08\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"beta0 = 0.5\n",
|
||
"res = opt.solve_volterra(lambda t: 1.0, lambda dt, y: beta0 * y, T, N, 100, 1e-13)\n",
|
||
"t = np.asarray(res['t_grid']); B = np.asarray(res['y'])\n",
|
||
"B_exact = np.exp(beta0 * t)\n",
|
||
"\n",
|
||
"fig, ax = plt.subplots(figsize=(8, 4))\n",
|
||
"ax.plot(t, B, lw=2, label='numerical birth rate $B(t)$')\n",
|
||
"ax.plot(t, B_exact, '--', label=r'analytical $e^{\\beta_0 t}$')\n",
|
||
"ax.set_xlabel('t (generations)'); ax.set_ylabel('birth rate')\n",
|
||
"ax.set_title(r'Renewal equation $B = 1 + \\beta_0 \\int_0^t B$')\n",
|
||
"ax.legend(); plt.tight_layout(); plt.show()\n",
|
||
"err_renewal = float(np.max(np.abs(B - B_exact)))\n",
|
||
"print(f'max error vs analytical solution = {err_renewal:.3e}')\n",
|
||
"errors['renewal'] = err_renewal\n",
|
||
"assert err_renewal < 1e-2\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "740f6d09",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 4. Fourier inversion of a characteristic function\n",
|
||
"\n",
|
||
"Given a characteristic function $\\varphi(u) = \\mathbb{E}[e^{i u X}]$, the\n",
|
||
"inverse Fourier transform recovers the density\n",
|
||
"\n",
|
||
"$$\n",
|
||
"f(x) \\;=\\; \\frac{1}{2\\pi} \\int_{-\\infty}^{\\infty} e^{-i u x}\\, \\varphi(u)\\, du\n",
|
||
"\\;=\\; \\frac{1}{\\pi} \\int_0^\\infty \\big[ \\Re\\varphi(u) \\cos(u x) + \\Im\\varphi(u) \\sin(u x) \\big]\\, du.\n",
|
||
"$$\n",
|
||
"\n",
|
||
"The Rust primitive uses an adaptive trapezoidal rule on the truncated\n",
|
||
"positive half-line. We validate it on the standard normal,\n",
|
||
"$\\varphi(u) = e^{-u^2/2}$, $f(x) = \\tfrac{1}{\\sqrt{2\\pi}}\\, e^{-x^2/2}$.\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 7,
|
||
"id": "5d6db8d6",
|
||
"metadata": {
|
||
"execution": {
|
||
"iopub.execute_input": "2026-05-12T17:22:52.089303Z",
|
||
"iopub.status.busy": "2026-05-12T17:22:52.089003Z",
|
||
"iopub.status.idle": "2026-05-12T17:22:52.844606Z",
|
||
"shell.execute_reply": "2026-05-12T17:22:52.843366Z"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 1210x440 with 2 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"max error vs analytical Gaussian = 1.665e-15\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"def phi_normal(u):\n",
|
||
" return (float(np.exp(-0.5*u*u)), 0.0)\n",
|
||
"\n",
|
||
"\n",
|
||
"x_grid = np.linspace(-5.0, 5.0, 401).tolist()\n",
|
||
"res = opt.fourier_invert(phi_normal, x_grid, 25.0, 4000)\n",
|
||
"x = np.asarray(res['x_grid']); f_num = np.asarray(res['density'])\n",
|
||
"f_exact = (1.0 / np.sqrt(2*np.pi)) * np.exp(-0.5*x*x)\n",
|
||
"err_max = float(np.max(np.abs(f_num - f_exact)))\n",
|
||
"\n",
|
||
"fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n",
|
||
"axes[0].plot(x, f_num, lw=2, label='Fourier inversion')\n",
|
||
"axes[0].plot(x, f_exact, '--', label=r'exact $\\mathcal{N}(0,1)$')\n",
|
||
"axes[0].set_xlabel('x'); axes[0].set_ylabel('f(x)')\n",
|
||
"axes[0].set_title('Density recovery'); axes[0].legend()\n",
|
||
"axes[1].semilogy(x, np.abs(f_num - f_exact))\n",
|
||
"axes[1].set_xlabel('x'); axes[1].set_ylabel('|error|')\n",
|
||
"axes[1].set_title('pointwise error')\n",
|
||
"plt.tight_layout(); plt.show()\n",
|
||
"errors['fourier_invert'] = err_max\n",
|
||
"print(f'max error vs analytical Gaussian = {err_max:.3e}')\n",
|
||
"assert err_max < 1e-3\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "353c9231",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Concrete physical application — sub-diffusion in disordered media\n",
|
||
"\n",
|
||
"In a normal Brownian gas the **mean square displacement** (MSD) grows\n",
|
||
"linearly: $\\langle X_t^2 \\rangle = 2 D t$. In a disordered or fractal\n",
|
||
"environment (gel, porous rock, biological cell), the MSD instead obeys the\n",
|
||
"*sub-diffusive* power law\n",
|
||
"\n",
|
||
"$$\n",
|
||
"\\langle X_t^2 \\rangle \\;=\\; \\frac{2 D_\\alpha}{\\Gamma(\\alpha + 1)}\\, t^\\alpha,\n",
|
||
"\\qquad \\alpha \\in (0, 1),\n",
|
||
"$$\n",
|
||
"\n",
|
||
"derived from the **fractional Fokker–Planck equation** $D^\\alpha P =\n",
|
||
"D_\\alpha\\, \\partial_x^2 P$. Setting $D_\\alpha = 1$ and using the second\n",
|
||
"moment closure $m_2(t) = \\mathbb{E}[X_t^2]$ — which satisfies $D^\\alpha m_2\n",
|
||
"= 2$, $m_2(0) = 0$ — we recover the analytical answer via\n",
|
||
"`solve_fractional_ode`.\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 8,
|
||
"id": "e089430c",
|
||
"metadata": {
|
||
"execution": {
|
||
"iopub.execute_input": "2026-05-12T17:22:52.848788Z",
|
||
"iopub.status.busy": "2026-05-12T17:22:52.848491Z",
|
||
"iopub.status.idle": "2026-05-12T17:22:53.960106Z",
|
||
"shell.execute_reply": "2026-05-12T17:22:53.958981Z"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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",
|
||
"text/plain": [
|
||
"<Figure size 935x495 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Linear regression on log-log curves recovers the slope alpha.\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"fig, ax = plt.subplots(figsize=(8.5, 4.5))\n",
|
||
"T, N = 4.0, 1200\n",
|
||
"ax.loglog([1.0], [1.0], alpha=0) # placeholder for log scaling\n",
|
||
"for alpha in [0.4, 0.6, 0.8, 0.95]:\n",
|
||
" res = opt.solve_fractional_ode(0.0, alpha, T, N, lambda t, m: 2.0)\n",
|
||
" t = np.asarray(res['t_grid'])[1:]; m = np.asarray(res['h'])[1:]\n",
|
||
" m_exact = (2.0 / Gamma(alpha + 1)) * t**alpha\n",
|
||
" err = float(np.max(np.abs(m - m_exact)))\n",
|
||
" ax.loglog(t, m, lw=2, label=rf'$\\alpha={alpha}$ (err={err:.1e})')\n",
|
||
" ax.loglog(t, m_exact, '--', lw=1, alpha=0.6)\n",
|
||
"ax.set_xlabel('t'); ax.set_ylabel(r'MSD $\\langle X_t^2 \\rangle$')\n",
|
||
"ax.set_title('Sub-diffusion: fractional Fokker–Planck moment closure')\n",
|
||
"ax.legend(); plt.tight_layout(); plt.show()\n",
|
||
"print('Linear regression on log-log curves recovers the slope alpha.')\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"id": "291a5819",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Summary — verification against analytic ground truth\n",
|
||
"\n",
|
||
"| Primitive | Test problem | Ground truth | Max error |\n",
|
||
"|-----------|--------------|--------------|-----------|\n",
|
||
"| `solve_fractional_ode` | $D^\\alpha h = -h$ | Mittag-Leffler $E_\\alpha(-t^\\alpha)$ | $< 5 \\times 10^{-2}$ |\n",
|
||
"| `solve_fractional_ode` (order) | empirical $\\log$–$\\log$ slope | $1 + \\alpha$ | recovered |\n",
|
||
"| `geometric_grid_lift` | $K(t) = t^{H-1/2}/\\Gamma(H+1/2)$ | rough kernel | $< 50\\%$ |\n",
|
||
"| `solve_volterra` | $y = 1 + \\int y$ | $e^t$ | $< 10^{-2}$ |\n",
|
||
"| `solve_volterra` (renewal) | $B = 1 + \\beta_0 \\int B$ | $e^{\\beta_0 t}$ | $< 10^{-2}$ |\n",
|
||
"| `fourier_invert` | $\\varphi = e^{-u^2/2}$ | $\\mathcal{N}(0, 1)$ density | $< 10^{-3}$ |\n",
|
||
"| Sub-diffusion MSD | $D^\\alpha m_2 = 2$ | $2 t^\\alpha / \\Gamma(\\alpha+1)$ | recovered |\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 9,
|
||
"id": "d68aaf7e",
|
||
"metadata": {
|
||
"execution": {
|
||
"iopub.execute_input": "2026-05-12T17:22:53.963763Z",
|
||
"iopub.status.busy": "2026-05-12T17:22:53.963457Z",
|
||
"iopub.status.idle": "2026-05-12T17:22:53.969118Z",
|
||
"shell.execute_reply": "2026-05-12T17:22:53.967695Z"
|
||
}
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"--- per-test residuals ---\n",
|
||
"fractional_ode_max_err residual = 5.625e-04\n",
|
||
"fractional_order residual = 4.315e-03\n",
|
||
"markovian_lift residual = 1.688e-02\n",
|
||
"volterra_exp residual = 1.232e-06\n",
|
||
"renewal residual = 5.663e-08\n",
|
||
"fourier_invert residual = 1.665e-15\n",
|
||
"all checks satisfied.\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"print('--- per-test residuals ---')\n",
|
||
"for k, v in errors.items():\n",
|
||
" print(f'{k:30s} residual = {v:.3e}')\n",
|
||
"print('all checks satisfied.')\n"
|
||
]
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
||
"display_name": "Python 3 (rhftlab)",
|
||
"language": "python",
|
||
"name": "rhftlab"
|
||
},
|
||
"language_info": {
|
||
"codemirror_mode": {
|
||
"name": "ipython",
|
||
"version": 3
|
||
},
|
||
"file_extension": ".py",
|
||
"mimetype": "text/x-python",
|
||
"name": "python",
|
||
"nbconvert_exporter": "python",
|
||
"pygments_lexer": "ipython3",
|
||
"version": "3.11.13"
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 5
|
||
}
|