{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"toc": true
},
"source": [
"Table of Contents
\n",
""
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"\n",
"\n",
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%reset -f\n",
"from IPython.display import display, Latex\n",
"from IPython.core.display import HTML\n",
"css_file = './custom.css'\n",
"HTML(open(css_file, \"r\").read()) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# M62 : Correction Examen 2019"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Choix d'un schéma"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">**Q2** \n",
"Soit un problème de Cauchy mathématiquement bien posé mais numériquement mal posé (i.e. sensible aux perturbations sur la donnée initiale). \n",
"Parmi les schémas EE (Euler Explicite), EI (Euler Implicite) et H (Heun), lequel faut-il choisir? Justifier la réponse."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction Q2** \n",
"Toute méthode numérique induisant une erreur sur la solution, cette erreur va s'amplifier avec les itérations succéssives puisque le problème est numériquement mal posé. La seule issue pour traiter ce genre de problème est d'utiliser des schémas d'ordre élévé (ici donc le schéma de Heun qui est d'ordre 2 tandis que les schémas d'Euler sont d'ordre 1) avec un pas $h$ petit (donc ce n'est pas la condition de A-stabilité qui limite le pas)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">**Q3** \n",
"Soit le problème de Cauchy\n",
"$$\n",
" \\begin{cases}\n",
" y'(t)=-10^5 y(t), &t\\in[0;100]\\\\\n",
" y(0)=1\n",
" \\end{cases}\n",
"$$\n",
"Parmi les schémas EE (Euler Explicite), EI (Euler Implicite) et H (Heun), lequel faut-il choisir? Justifier la réponse."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction Q3** \n",
"Le problème est bien posé mathématiquement et numériquement. \n",
"On ne peut pas utiliser ni le schéma EE ni le schéma H car la condition de stabilité est trop contraignante: dans les deux cas il faut un pas $h<\\frac{2}{10^5}$, i.e. une discrétisation avec $N>\\frac{100}{h}= \\frac{10^7}{2}$ points.\n",
"\n",
"Le schéma EI, en revanche, est inconditionnellement A-stable: on peut donc choisir le pas $h$ sans contrainte de stabilité."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Solution exacte\n",
"\n",
"Soit le problème de Cauchy\n",
"\\begin{equation}\n",
" \\begin{cases}\n",
" y'(t)=1+\\vartheta\\left(t-y(t)\\right), &t\\in[0;2]\\\\\n",
" y(0)=1\n",
" \\end{cases}\n",
"\\end{equation}\n",
"\n",
"Chaque sujet correspond à une valeur de $\\vartheta$ parmi les suivantes:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[10, 15, 20, 25, 30, 35, 40, 45, 50]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"THETA=list(range(10,54,5))\n",
"THETA"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">**Q4** Calculer la solution exacte de ce problème de Cauchy."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction Q4** \n",
"On peut calculer la solution à la main:\n",
"$$\n",
"a(t)y'(t)+b(t)y(t)=g(t)\n",
"$$\n",
"avec $a(t)=1$, $b(t)=\\vartheta$ et $g(t)=1+\\vartheta t$ donc\n",
"+ $A(t)=\\int \\frac{b(t)}{a(t)}\\mathrm{d}t=\\int \\vartheta\\mathrm{d}t= \\vartheta t$,\n",
"+ $B(t)=\\int \\frac{g(t)}{a(t)} e^{A(t)}\\mathrm{d}t\n",
" =\\int (1+\\vartheta t) e^{\\vartheta t}\\mathrm{d}t\n",
" = t e^{\\vartheta t}$,\n",
"\n",
"d'où $y(t)=c e^{-\\vartheta t}+ t$.\n",
"\n",
"En imposant la condition $1=y(0)$ on trouve l'unique solution du problème de Cauchy donné:\n",
"$$\n",
"\\boxed{y(t)=e^{-\\vartheta t}+t.}\n",
"$$\n",
"\n",
"Sinon, on peut utiliser le module de calcul symbolique mais **attention**, pour ne pas avoir des mauvaises intéractions entre le module `matplotlib` et le module `sympy`, on utilisera l'import de sympy avec un alias:\n",
"```\n",
"import sympy as sym\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"EDO:\n"
]
},
{
"data": {
"image/png": "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\n",
"text/latex": [
"$\\displaystyle \\frac{d}{d t} u{\\left(t \\right)} = \\theta \\left(t - u{\\left(t \\right)}\\right) + 1$"
],
"text/plain": [
"d \n",
"──(u(t)) = θ⋅(t - u(t)) + 1\n",
"dt "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Solution générale:\n"
]
},
{
"data": {
"image/png": "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\n",
"text/latex": [
"$\\displaystyle u{\\left(t \\right)} = C_{1} e^{- t \\theta} + t$"
],
"text/plain": [
" -t⋅θ \n",
"u(t) = C₁⋅ℯ + t"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Prise en compte de la condition initiale u(0)=1:\n"
]
},
{
"data": {
"image/png": "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\n",
"text/latex": [
"$\\displaystyle \\left\\{ C_{1} : 1\\right\\}$"
],
"text/plain": [
"{C₁: 1}"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Solution du problème de Cauchy:\n"
]
},
{
"data": {
"image/png": "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\n",
"text/latex": [
"$\\displaystyle u{\\left(t \\right)} = t + e^{- t \\theta}$"
],
"text/plain": [
" -t⋅θ\n",
"u(t) = t + ℯ "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import sympy as sym\n",
"sym.init_printing()\n",
"\n",
"sym.var('t,C1,theta')\n",
"u=sym.Function('u')\n",
"f=1+theta*(t-u(t))\n",
"edo=sym.Eq(sym.diff(u(t),t),f)\n",
"print(\"EDO:\")\n",
"display(edo)\n",
"\n",
"solgen=sym.dsolve(edo,u(t)).simplify()\n",
"print(\"Solution générale:\")\n",
"display(solgen)\n",
"\n",
"t0=0\n",
"u0=1\n",
"consts = sym.solve( [solgen.rhs.subs(t,t0)-u0 ],C1, dict=True)[0]\n",
"print(\"Prise en compte de la condition initiale u({})={}:\".format(t0,u0))\n",
"display(consts)\n",
"\n",
"solpar=solgen.subs(consts)\n",
"print(\"Solution du problème de Cauchy:\")\n",
"display(solpar)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Schéma Predictor-corrector\n",
"\n",
"Soit les deux schémas\n",
"\\begin{align}\n",
"&\\begin{cases}\n",
"u_0=y_0,\\\\\n",
"u_1=u_0+h\\varphi(t_1,u_1),\\\\\n",
"u_{n+1}=\\frac{4}{3}u_n-\\frac{1}{3}u_{n-1}+\\frac{2}{3}h\\varphi(t_{n+1},u_{n+1})& n=1,2,3,\\dots N-1\n",
"\\end{cases}\n",
"\\\\\n",
"&\\begin{cases}\n",
"u_0=y_0,\\\\\n",
"u_{1}=u_0+h\\varphi(t_0,u_0),\\\\\n",
"u_{n+1}=u_n+\\frac{h}{2}\\Bigl(3\\varphi(t_n,u_n)-\\varphi(t_{n-1},u_{n-1})\\Bigr)& n=1,2,3,4,5,\\dots N-1\n",
"\\end{cases}\n",
"\\end{align}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">**Q5** Écrire le schéma predictor-corrector associé à ce couple de schémas sous la forme d'une suite définie par récurrence. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction Q5**\n",
"$$\n",
"\\begin{cases}\n",
"u_0=y_0,\\\\\n",
"u_1=u_0+h\\varphi(t_1,u_1),\\\\\n",
"\\tilde u_{n+1} = u_n+\\frac{h}{2}\\Bigl(3\\varphi(t_n,u_n)-\\varphi(t_{n-1},u_{n-1})\\Bigr)& n=1,2,3,\\dots N-1\\\\\n",
"u_{n+1}=\\frac{4}{3}u_n-\\frac{1}{3}u_{n-1}+\\frac{2}{3}h\\varphi(t_{n+1},\\tilde u_{n+1})& n=1,2,3,\\dots N-1\n",
"\\end{cases}\n",
"$$\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">**Q6** Implémenter le schéma predictor-corrector de la question précédente et le tester avec le problème de Cauchy. \n",
"On choisira $N=1+5\\vartheta$ points de discrétisation et on affichera la solution approchée et la solution exacte sur le même repère."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction Q6**"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"from matplotlib.pylab import *"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def PC(phi,tt):\n",
" h = tt[1]-tt[0]\n",
" uu = [y0]\n",
" #uu.append( fsolve(lambda x : -x+uu[0]+h*phi(tt[1],x) , uu[0] )[0] )\n",
" uu.append(uu[0]+h*phi(tt[0],uu[0]))\n",
" for i in range(1,len(tt)-1):\n",
" pred = uu[i] + h/2*( 3*phi(tt[i],uu[i]) - phi(tt[i-1],uu[i-1]) )\n",
" uu.append( 4/3*uu[i] - uu[i-1]/3 + 2/3*h*phi(tt[i+1],pred) )\n",
" return uu"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
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},
"output_type": "display_data"
},
{
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\n",
"text/plain": [
""
]
},
"metadata": {
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},
"output_type": "display_data"
},
{
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"t0, y0, tfinal = 0, 1, 2\n",
"\n",
"i=0\n",
"for theta in THETA:\n",
" N = 1+5*theta\n",
" tt = linspace(t0,tfinal,N+1)\n",
" sol_exacte = lambda t : t+exp(-theta*t)\n",
" phi = lambda t,y : 1+theta*(t-y)\n",
" yy = [sol_exacte(t) for t in tt]\n",
" uu = PC(phi,tt)\n",
" i+=1\n",
" figure(i,figsize=(20,5))\n",
" plot(tt,yy,'r-',label=('Exacte'))\n",
" plot(tt,uu,'bo',label=('PC'))\n",
" title('$\\\\theta$={}'.format(theta))\n",
" xlabel('$t$')\n",
" ylabel('$y$')\n",
" legend() \n",
" grid(True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">**Q7** Vérifier empiriquement l'ordre de convergence du schéma predictor-corrector de la question précédente en affichant la courbe de convergence et en estimant sa pente avec le problème de Cauchy."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction Q7**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On calcule la solution approchée avec différentes valeurs de $h_k=2/N_k$, à savoir $N_k=(1+5\\vartheta)2^k$, $k=0,...7$. On sauvegarde les valeurs de $h_k$ dans le vecteur `H`. \n",
"\n",
"Pour chaque valeur de $h_k$, on calcule le maximum de la valeur absolue de l'erreur et on sauvegarde toutes ces erreurs dans le vecteur `err` de sort que `err[k]` contient $e_k=\\max_{i=0,...,N_k}|y(t_i)-u_{i}|$.\n",
"\n",
"Pour afficher l'ordre de convergence on utilise une échelle logarithmique : on représente $\\ln(h)$ sur l'axe des abscisses et $\\ln(\\text{err})$ sur l'axe des ordonnées ainsi, si $\\text{err}=Ch^p$, alors $\\ln(\\text{err})=\\ln(C)+p\\ln(h)$. En échelle logarithmique, $p$ représente donc la pente de la ligne droite $\\ln(\\text{err})$.\n",
"\n",
"Pour estimer l'ordre de convergence on estime la pente de la droite qui relie l'erreur au pas $k$ à l'erreur au pas $k+1$ en echelle logarithmique en utilisant la fonction `polyfit` basée sur la régression linéaire. \t"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"t0, y0, tfinal = 0, 1, 2\n",
"\n",
"i=0\n",
"for theta in THETA:\n",
" H = []\n",
" err = []\n",
" for k in range(8):\n",
" N = (1+5*theta)*2**k \n",
" tt = linspace(t0,tfinal,N+1)\n",
" h = tt[1]-tt[0]\n",
" H.append(h)\n",
" sol_exacte = lambda t : t+exp(-theta*t)\n",
" phi = lambda t,y : 1+theta*(t-y)\n",
" yy = [sol_exacte(t) for t in tt]\n",
" uu = PC(phi,tt)\n",
" err.append(max([abs(uu[i]-yy[i]) for i in range(len(uu))]))\n",
" i+=1\n",
" figure(i,figsize=(20,5))\n",
" loglog(H,err, 'r-o')\n",
" title('$\\\\theta=${}, Ordre = {:1.4f}'.format(theta,polyfit(log(H),log(err), 1)[0]))\n",
" xlabel('$h$')\n",
" ylabel('$e$')\n",
" #legend() \n",
" grid(True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Schéma Runge-Kutta\n",
"\n",
"Soit le schéma de Runge-Kutta dont la *matrice de Butcher* est\n",
"$$\n",
"\\begin{array}{c|cc}\n",
"1 & 1 & 0\\\\\n",
"\\beta & \\beta & 0\\\\\n",
"\\hline\n",
" & (1-\\gamma) & \\gamma\n",
"\\end{array}\n",
"$$\n",
"\n",
"Chaque sujet correspond à un couple $(\\beta,\\gamma)$ choisi parmi les suivants:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\t beta= 1/13 \t gamma= 13/24\n",
"\t beta= 1/7 \t gamma= 7/12\n",
"\t beta= 1/5 \t gamma= 5/8\n",
"\t beta= 1/4 \t gamma= 2/3\n",
"\t beta= 5/17 \t gamma= 17/24\n",
"\t beta= 1/3 \t gamma= 3/4\n",
"\t beta= 7/19 \t gamma= 19/24\n",
"\t beta= 2/5 \t gamma= 5/6\n",
"\t beta= 3/7 \t gamma= 7/8\n",
"\t beta= 5/11 \t gamma= 11/12\n",
"\t beta= 11/23 \t gamma= 23/24\n"
]
}
],
"source": [
"from fractions import Fraction\n",
"alpha=1\n",
"GAMMA=[Fraction(13,24),Fraction(14,24),Fraction(15,24),Fraction(16,24),Fraction(17,24),\n",
" Fraction(18,24),Fraction(19,24),Fraction(20,24),Fraction(21,24),Fraction(22,24),Fraction(23,24)]\n",
"for gamma in GAMMA:\n",
" beta=Fraction(Fraction(1,2)+alpha*(gamma-1),gamma)\n",
" print(\"\\t beta=\",beta,\"\\t gamma=\",gamma)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">**Q8** Écrire le schéma sous la forme d'une suite définie par récurrence."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction Q8**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Considérons le problème de Cauchy\n",
">trouver une fonction $y \\colon I\\subset \\mathbb{R} \\to \\mathbb{R}$ définie sur un intervalle $I=[t_0,T]$ telle que\n",
"$$\\begin{cases}\n",
"y'(t) = \\varphi(t,y(t)), &\\forall t \\in I=[t_0,T],\\\\\n",
"y(t_0) = y_0,\n",
"\\end{cases}$$\n",
"avec $y_0$ une valeur donnée et supposons que l'on ait montré l'existence et l'unicité d'une solution $y$ pour $t\\in I$.\n",
"\n",
"Pour $h>0$ soit $t_n\\stackrel{\\text{déf.}}{=} t_0+nh$ avec $n=0,1,2,\\dots,N$ une suite de $N+1$ nœuds de $I$ induisant une discrétisation de $I$ en $N$ sous-intervalles $I_n=[t_n;t_{n+1}]$ chacun de longueur $h>0$ (appelé le *pas de discrétisation*).\n",
"\n",
"Pour chaque nœud $t_n$, on cherche la valeur inconnue $u_n$ qui approche la valeur exacte $y_n\\equiv y(t_n)$. \n",
"- L'ensemble de $N+1$ valeurs $\\{t_0, t_1=t_0+h,... , t_{N}=T \\}$ représente les points de la discrétisation. \n",
"- L'ensemble de $N+1$ valeurs $\\{y_0, y_1,... , y_{N} \\}$ représente la solution exacte. \n",
"- L'ensemble de $N+1$ valeurs $\\{u_0 = y_0, u_1,... , u_{N} \\}$ représente la solution numérique. Cette solution approchée sera obtenue en construisant une suite récurrente.\n",
"\n",
"Le schéma qu'on va construire permet de calculer implicitement $u_{n+1}$ à partir de $u_n$ par la formule de récurrence\n",
"$$\\begin{cases}\n",
"u_0\t = y_0 \\\\\n",
"K_1 = \\varphi\\left(t_n+h,u_n+hK_1\\right)\\\\\n",
"K_2 = \\varphi\\left(t_n+\\beta h,u_n+\\beta hK_1\\right)\\\\\n",
"u_{n+1} = u_n + h \\left((1-\\gamma)K_1+\\gamma K_2\\right) & n=0,1,\\dots N-1\n",
"\\end{cases}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">**Q9** Étudier théoriquement l'ordre du schéma."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction Q9**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"+ C'est un schéma semi-implicite à deux étages: l'ordre est au plus 4.\n",
"+ $c_1=a_{11}+a_{12}$, $c_2=a_{21}+a_{22}$ et $1=b_1+b_2$ $\\implies$ il est consistante\n",
"+ $c_1 b_1 + c_2b_2=\\frac{1}{2}$ $\\implies$ il est d'ordre $2$\n",
"+ $b_1c_1^2+b_2c_2^2=\\frac{1}{2\\gamma}$ et $b_1a_{11}c_1+b_2a_{12}c_2=\\frac{1}{2}$ $\\implies$ il n'est pas d'ordre $3$\n",
"\n",
"On peut vérifier ces calculs avec `sympy`:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\sum_{j=1}^s b_j=1$"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$\\displaystyle i={}0\\quad \\sum_{j=1}^s a_{ij}-c_i=0$"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$\\displaystyle i={}1\\quad \\sum_{j=1}^s a_{ij}-c_i=0$"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$\\displaystyle \\sum_{j=1}^s b_j c_j=\\frac{1}{2}$"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$\\displaystyle \\sum_{j=1}^s b_j c_j^2=\\frac{1}{4 \\gamma}$"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$\\displaystyle \\sum_{i,j=1}^s b_i a_{ij} c_j=\\frac{1}{2}$"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import sympy as sym\n",
"sym.init_printing()\n",
"\n",
"from IPython.display import display, Math\n",
"\n",
"sym.var('gamma')\n",
"beta=(gamma-sym.S(1)/2)/gamma\n",
"c=[1,beta]\n",
"b=[1-gamma,gamma]\n",
"A=[[1,0],[beta,0]]\n",
"s=len(c)\n",
"\n",
"display(Math(r'\\sum_{j=1}^s b_j='+sym.latex(sum(b)) ))\n",
"for i in range(s):\n",
" display(Math(r'i={}'+str(i)+'\\quad \\sum_{j=1}^s a_{ij}-c_i='+sym.latex(sum(A[i])-c[i]) ))\n",
"\n",
"display(Math(r'\\sum_{j=1}^s b_j c_j='+sym.latex(sum([b[i]*c[i] for i in range(s)])) ))\n",
"\n",
"display(Math(r'\\sum_{j=1}^s b_j c_j^2='+sym.latex(sum([b[i]*c[i]**2 for i in range(s)]).simplify()) ))\n",
"display(Math(r'\\sum_{i,j=1}^s b_i a_{ij} c_j='+sym.latex(sum([b[i]*A[i][j]*c[j] for i in range(s) for j in range(s)])) ))\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">**Q10** Implémenter le schéma de la question précédente et le tester avec le problème de Cauchy. \n",
"On choisira $N=1+2\\vartheta$ points de discrétisation et on affichera la solution approchée et la solution exacte sur le même repère.\n",
"\n",
">Attention: le schéma est semi-implicite, la fonction `fsolve` du module `scipy.optimize` est votre amie..."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Correction Q10**\n",
"\n",
"Dans chaque point $t_i$, il faut approcher $(K_1)_i$ en resolvant une équation. Si on utilise la fonction `fsolve` du module `scipy.optimize`, il faut initialiser `fsolve` avec une approximation de $(K_1)_i$. On choisira donc $\\varphi(t_i,u_i)$:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"from scipy.optimize import fsolve\n",
"\n",
"def RK(phi,tt):\n",
" uu = [y0]\n",
" for i in range(len(tt)-1):\n",
" k1 = fsolve( lambda x : x - phi( tt[i]+alpha*h, uu[i]+alpha*h*x ) , phi(tt[i],uu[i]) )[0]\n",
" k2 = phi( tt[i]+beta*h , uu[i]+beta*h*k1 )\n",
" uu.append( uu[i] + h*((1-gamma)*k1+gamma*k2 ))\n",
" return uu"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Comparons solution exacte et solution approchée (pour trouver votre sujet vous devez chercher les valeurs de $\\vartheta$ et $\\beta$ correspondants):"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
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"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from matplotlib.pylab import *\n",
"\n",
"t0, y0, tfinal = 0, 1, 2\n",
"\n",
"sol_exacte = lambda t : t+exp(-theta*t)\n",
"phi = lambda t,y : 1+theta*(t-y)\n",
"\n",
"\n",
"for theta in THETA:\n",
" N = 1+2*theta\n",
" tt = linspace(t0,tfinal,N+1)\n",
" h = tt[1]-tt[0]\n",
" yy = [sol_exacte(t) for t in tt]\n",
" figure(theta,figsize=(20,5))\n",
" g=len(GAMMA)\n",
" i=0\n",
" for gamma in GAMMA:\n",
" beta=Fraction(Fraction(1,2)+alpha*(gamma-1),gamma)\n",
" uu = RK(phi,tt)\n",
" i+=1\n",
" subplot(1,g,i)\n",
" plot(tt,yy,'b-',label=(\"Exacte\"))\n",
" plot(tt,uu,'ro',label=(\"RK\"))\n",
" title(r' $\\theta$={}, $\\beta$={}'.format(theta,beta))\n",
" xlabel('$t$')\n",
" ylabel('$u$')\n",
" legend() \n",
" grid(True)"
]
}
],
"metadata": {
"hide_input": false,
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"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"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": true,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": true,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 4
}