{
"cells": [
{
"cell_type": "markdown",
"id": "86a96575-61e6-4e78-8f4a-3dba7a134531",
"metadata": {},
"source": [
"# 2025-11-14 Stiff Equations\n",
"\n",
"* Implicit and explicit methods\n",
"\n",
"* Stiff equations\n",
"\n",
"* Adaptive time integrators"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "edd38524-ac9b-4f70-a09a-2e714ee28ecd",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"ode_rk_explicit (generic function with 1 method)"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using LinearAlgebra\n",
"using Plots\n",
"default(linewidth=4, legendfontsize=12)\n",
"\n",
"# Runge-Kutta table\n",
"struct RKTable\n",
" A::Matrix\n",
" b::Vector\n",
" c::Vector\n",
" function RKTable(A, b)\n",
" s = length(b)\n",
" A = reshape(A, s, s)\n",
" c = vec(sum(A, dims=2))\n",
" new(A, b, c)\n",
" end\n",
"end\n",
"\n",
"# Helper for stablity of RK methods\n",
"function rk_stability(z, rk)\n",
" s = length(rk.b)\n",
" 1 + z * rk.b' * ((I - z*rk.A) \\ ones(s))\n",
"end\n",
"\n",
"# Some specific RK methods\n",
"rk4 = RKTable([0 0 0 0; .5 0 0 0; 0 .5 0 0; 0 0 1 0], [1, 2, 2, 1] / 6)\n",
"heun = RKTable([0 0; 1 0], [.5, .5])\n",
"Rz_theta(z, theta) = (1 + (1 - theta)*z) / (1 - theta*z)\n",
"\n",
"# Solve an ODE with RK\n",
"function ode_rk_explicit(f, u0; tfinal=1, h=0.1, table=rk4)\n",
" u = copy(u0)\n",
" t = 0.\n",
" n, s = length(u), length(table.c)\n",
" fY = zeros(n, s)\n",
" thist = [t]\n",
" uhist = [u0]\n",
" while t < tfinal\n",
" tnext = min(t+h, tfinal)\n",
" h = tnext - t\n",
" for i in 1:s\n",
" ti = t + h * table.c[i]\n",
" Yi = u + h * sum(fY[:,1:i-1] * table.A[i,1:i-1], dims=2)\n",
" fY[:,i] = f(ti, Yi)\n",
" end\n",
" u += h * fY * table.b\n",
" t = tnext\n",
" push!(thist, t)\n",
" push!(uhist, u)\n",
" end\n",
" thist, hcat(uhist...)\n",
"end"
]
},
{
"cell_type": "markdown",
"id": "4e215638-d0b9-430f-b67f-d4d9d63e5907",
"metadata": {},
"source": [
"## Ordinary Differential Equations\n",
"\n",
"Given initial conditions $y_0 = y \\left( t = 0 \\right)$, find $y \\left( t \\right)$ for $t > 0$ that satisfies\n",
"\n",
"$$ y' = \\dot{y} = \\frac{\\partial y}{\\partial t} = f \\left( t, y \\right) $$\n",
"\n",
"| **Application** | $y$ | $f$ |\n",
"| ------------------ | ----------------------------- | ------------------------- |\n",
"| Orbital dynamics | position, momentum | conservation of momentum |\n",
"| Chemical reactions | concentraction | conservation of atoms |\n",
"| Epidemiology | infected/recovered population | transmission and recovery |\n",
"\n",
"$y$ can be a scalar or a vector."
]
},
{
"cell_type": "markdown",
"id": "99e37b65-59d7-45f4-89a9-d4754a86c1e7",
"metadata": {},
"source": [
"## Solving differential equations\n",
"\n",
"### Linear equations\n",
"\n",
"$$ y' = A \\left( t \\right) y + \\text{source} \\left( t \\right) $$\n",
"\n",
"Autonomous if $A \\left( t \\right) = A$ and the source term is independent of $t$.\n",
"\n",
"If $y$ and $a = A$ are scalars, then $y \\left( t \\right) = e^{a t} y_0$.\n",
"\n",
"If $y$ is a vector and $A$ is a matrix, then we have a similar solution for systems: $y \\left( t \\right) = e^{A t} y_0$."
]
},
{
"cell_type": "markdown",
"id": "8664f0df-abdc-4142-948a-c66d90527491",
"metadata": {},
"source": [
"### Matrix exponentation\n",
"\n",
"What does it mean to exponentiate a matrix?\n",
"To the Taylor series!\n",
"\n",
"$$ e^A = 1 + A + \\frac{A^2}{2} + \\frac{A^3}{3!} + \\cdots $$\n",
"\n",
"There exist many [practical ways to compute it](https://bpb-us-e1.wpmucdn.com/blogs.cornell.edu/dist/c/9924/files/2021/10/19ways.pdf).\n",
"\n",
"Exploration:\n",
"Suppose that the diagonalization $A = X \\Lambda X^{-1}$ exists.\n",
"Derive a finite expression for the matrix exponential using the scalar `exp` function."
]
},
{
"cell_type": "markdown",
"id": "283a1ded-2cfc-4e6f-848c-c16ace4036d3",
"metadata": {},
"source": [
"## Forward Euler Method\n",
"\n",
"The simplest method for solving $y' \\left( t \\right) = f \\left( t, y \\right)$ is to use a finite difference to write\n",
"\n",
"$$ y' \\approx \\frac{y \\left( h \\right) - y \\left( 0 \\right)}{h} $$\n",
"\n",
"which yields the solution estimate\n",
"\n",
"$$ \\tilde{y} \\left( h \\right) = y \\left( 0 \\right) + h f \\left( 0, y \\left( 0 \\right) \\right) $$\n",
"\n",
"where $h$ is the step size.\n",
"Let's try this on a scalar problem\n",
"\n",
"$$ y' = - k \\left( y - \\cos \\left( t \\right) \\right) $$\n",
"\n",
"where $k$ is a parameter controlling the rate at which the solution $u \\left( t \\right)$ is pulled toward the curve $\\cos \\left( t \\right)$."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "c522d576-5c32-4422-8136-1b3f6eaa3fe1",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"ode_euler (generic function with 1 method)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Forward Euler ODE solver\n",
"function ode_euler(f, y0; tfinal=10., h=0.1)\n",
" y = copy(y0)\n",
" t = 0.\n",
" thist = [t]\n",
" yhist = [y0]\n",
" while t < tfinal\n",
" tnext = min(t+h, tfinal)\n",
" h = tnext - t\n",
" y += h * f(t, y)\n",
" t = tnext\n",
" push!(thist, t)\n",
" push!(yhist, y)\n",
" end\n",
" thist, hcat(yhist...)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "9067b4cc-c3a0-41d1-98bf-a1d6bdaac9ff",
"metadata": {},
"outputs": [
{
"data": {
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",
"image/svg+xml": [
"\n",
"\n"
],
"text/html": [
"
"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"f1(t, y; k=10) = -k * (y .- cos(t))\n",
"\n",
"thist, yhist = ode_euler(f1, [1.], tfinal=20, h=.2)\n",
"scatter(thist, yhist[1, :], marker=:circle, label=\"\\$y\\$\")\n",
"plot!(cos, label=\"\\$cos\\$\")"
]
},
{
"cell_type": "markdown",
"id": "69efdce0-1ad5-4b5b-b4e8-b62dc41f9409",
"metadata": {},
"source": [
"### Forward Euler for systems\n",
"\n",
"Consider the linear system\n",
"\n",
"$$ \\begin{split}\n",
" \\begin{bmatrix} y_1 \\\\ y_2 \\end{bmatrix}' =\n",
" \\begin{bmatrix} 0 & 1 \\\\ -1 & 0 \\end{bmatrix}\n",
" \\begin{bmatrix} y_1 \\\\ y_2 \\end{bmatrix}\n",
"\\end{split} $$"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "95a4aa28-f2ff-4248-ae9e-90772b1f41fb",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
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