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"source": [
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"# Scipy\n",
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"\n",
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"Copyright 2023 Marco A. Lopez-Sanchez. \n",
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"Copyright 2023-today Marco A. Lopez-Sanchez. \n",
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"Content under [Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) License](http://creativecommons.org/licenses/by-nc-sa/4.0/).\n",
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"\n",
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"> **Goal**: \n",
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"import scipy as sp"
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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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"metadata": {},
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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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"\u001b[1;31mType:\u001b[0m module\n",
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"\u001b[1;31mString form:\u001b[0m <module 'scipy.integrate' from 'c:\\\\Users\\\\Marco\\\\miniconda3\\\\envs\\\\main\\\\Lib\\\\site-packages\\\\scipy\\\\integrate\\\\__init__.py'>\n",
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"\u001b[1;31mFile:\u001b[0m c:\\users\\marco\\miniconda3\\envs\\main\\lib\\site-packages\\scipy\\integrate\\__init__.py\n",
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"\u001b[1;31mDocstring:\u001b[0m \n",
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"=============================================\n",
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"Integration and ODEs (:mod:`scipy.integrate`)\n",
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"=============================================\n",
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"\n",
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".. currentmodule:: scipy.integrate\n",
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"\n",
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"Integrating functions, given function object\n",
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"============================================\n",
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"\n",
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".. autosummary::\n",
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" :toctree: generated/\n",
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"\n",
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" quad -- General purpose integration\n",
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" quad_vec -- General purpose integration of vector-valued functions\n",
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" dblquad -- General purpose double integration\n",
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" tplquad -- General purpose triple integration\n",
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" nquad -- General purpose N-D integration\n",
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" fixed_quad -- Integrate func(x) using Gaussian quadrature of order n\n",
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" quadrature -- Integrate with given tolerance using Gaussian quadrature\n",
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" romberg -- Integrate func using Romberg integration\n",
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" newton_cotes -- Weights and error coefficient for Newton-Cotes integration\n",
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" qmc_quad -- N-D integration using Quasi-Monte Carlo quadrature\n",
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" IntegrationWarning -- Warning on issues during integration\n",
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" AccuracyWarning -- Warning on issues during quadrature integration\n",
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"\n",
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"Integrating functions, given fixed samples\n",
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"==========================================\n",
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"\n",
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".. autosummary::\n",
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" :toctree: generated/\n",
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"\n",
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" trapezoid -- Use trapezoidal rule to compute integral.\n",
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" cumulative_trapezoid -- Use trapezoidal rule to cumulatively compute integral.\n",
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" simpson -- Use Simpson's rule to compute integral from samples.\n",
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" cumulative_simpson -- Use Simpson's rule to cumulatively compute integral from samples.\n",
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" romb -- Use Romberg Integration to compute integral from\n",
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" -- (2**k + 1) evenly-spaced samples.\n",
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"\n",
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".. seealso::\n",
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"\n",
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" :mod:`scipy.special` for orthogonal polynomials (special) for Gaussian\n",
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" quadrature roots and weights for other weighting factors and regions.\n",
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"\n",
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"Solving initial value problems for ODE systems\n",
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"==============================================\n",
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"\n",
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"The solvers are implemented as individual classes, which can be used directly\n",
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"(low-level usage) or through a convenience function.\n",
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"\n",
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".. autosummary::\n",
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" :toctree: generated/\n",
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"\n",
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" solve_ivp -- Convenient function for ODE integration.\n",
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" RK23 -- Explicit Runge-Kutta solver of order 3(2).\n",
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" RK45 -- Explicit Runge-Kutta solver of order 5(4).\n",
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" DOP853 -- Explicit Runge-Kutta solver of order 8.\n",
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" Radau -- Implicit Runge-Kutta solver of order 5.\n",
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" BDF -- Implicit multi-step variable order (1 to 5) solver.\n",
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" LSODA -- LSODA solver from ODEPACK Fortran package.\n",
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" OdeSolver -- Base class for ODE solvers.\n",
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" DenseOutput -- Local interpolant for computing a dense output.\n",
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" OdeSolution -- Class which represents a continuous ODE solution.\n",
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"\n",
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"\n",
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"Old API\n",
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"-------\n",
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"\n",
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"These are the routines developed earlier for SciPy. They wrap older solvers\n",
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"implemented in Fortran (mostly ODEPACK). While the interface to them is not\n",
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"particularly convenient and certain features are missing compared to the new\n",
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"API, the solvers themselves are of good quality and work fast as compiled\n",
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"Fortran code. In some cases, it might be worth using this old API.\n",
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"\n",
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".. autosummary::\n",
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" :toctree: generated/\n",
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"\n",
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" odeint -- General integration of ordinary differential equations.\n",
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" ode -- Integrate ODE using VODE and ZVODE routines.\n",
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" complex_ode -- Convert a complex-valued ODE to real-valued and integrate.\n",
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" ODEintWarning -- Warning raised during the execution of `odeint`.\n",
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"\n",
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"\n",
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"Solving boundary value problems for ODE systems\n",
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"===============================================\n",
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"\n",
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".. autosummary::\n",
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" :toctree: generated/\n",
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"\n",
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" solve_bvp -- Solve a boundary value problem for a system of ODEs."
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]
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}
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],
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"source": [
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"sp.integrate?"
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]
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},
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{
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"attachments": {},
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"cell_type": "markdown",
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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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"execution_count": 3,
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"metadata": {},
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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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"Notebook tested in 2024-01-09 using:\n",
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"Python 3.10.13 | packaged by Anaconda, Inc. | (main, Sep 11 2023, 13:15:57) [MSC v.1916 64 bit (AMD64)]\n",
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"Scipy 1.11.4\n"
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"Notebook tested in 2024-12-03 using:\n",
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"Python 3.12.4 | packaged by Anaconda, Inc. | (main, Jun 18 2024, 15:03:56) [MSC v.1929 64 bit (AMD64)]\n",
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"Scipy 1.14.1\n"
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]
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}
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],
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.10.13"
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"version": "3.12.4"
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},
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"orig_nbformat": 4,
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"vscode": {

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