{ "cells": [ { "cell_type": "markdown", "id": "38466d0b-f939-4598-ae31-01512b4e9eec", "metadata": {}, "source": [ "# 2025-10-15 Spline Interpolation\n", "\n", "* Accuracy of piecewise constant interpolation\n", "\n", "* Piecewise polynomial methods\n", "\n", "* Splines\n", "\n", "* Libraries\n", "\n", "See the [FNC](https://fncbook.com/overview-4)" ] }, { "cell_type": "code", "execution_count": 1, "id": "994c2c36-99e2-41a3-976b-c2128519b494", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "vcond (generic function with 1 method)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using LinearAlgebra\n", "using Plots\n", "using Polynomials\n", "default(lw=4, ms=5, legendfontsize=12, xtickfontsize=12, ytickfontsize=12)\n", "\n", "# Here's our Vandermonde matrix again\n", "function vander(x, k=nothing)\n", " if isnothing(k)\n", " k = length(x)\n", " end\n", " m = length(x)\n", " V = ones(m, k)\n", " for j in 2:k\n", " V[:, j] = V[:, j-1] .* x\n", " end\n", " V\n", "end\n", "\n", "# And our \"bad\" function\n", "runge(x) = 1 / (1 + 10*x^2)\n", "\n", "# And a utility for points distributed via cos\n", "CosRange(a, b, n) = (a + b)/2 .+ (b - a)/2 * cos.(LinRange(-pi, 0, n))\n", "\n", "# And a helper for looking at conditioning\n", "vcond(mat, points, nmax) = [cond(mat(points(-1, 1, n))) for n in 2:nmax]" ] }, { "cell_type": "markdown", "id": "b872031a-0474-47db-9bfa-abb61e31b429", "metadata": {}, "source": [ "### Chebyshev interpolating polynomials\n", "\n", "$$ \\begin{split}\\begin{split}\n", "T_0 \\left( x \\right) &= 1 \\\\\n", "T_1 \\left( x \\right) &= x \\\\\n", "T_{n+1} \\left( x \\right) &= 2 x T_n \\left( x \\right) - T_{n-1} \\left( x \\right)\n", "\\end{split}\\end{split} $$" ] }, { "cell_type": "code", "execution_count": 2, "id": "6ff5c267-84e5-4c64-9a51-17bbd1806a2a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "vander_chebyshev (generic function with 2 methods)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function vander_chebyshev(x, n=nothing)\n", " if isnothing(n)\n", " n = length(x) # Square by default\n", " end\n", " m = length(x)\n", " T = ones(m, n)\n", " if n > 1\n", " T[:, 2] = x\n", " end\n", " for k in 3:n\n", " T[:, k] = 2 * x .* T[:,k-1] - T[:, k-2]\n", " end\n", " T\n", "end" ] }, { "cell_type": "code", "execution_count": 3, "id": "9a52896a-14d2-43df-aa81-42c96cf6fd45", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a = 20\n", "plot(range(2, a), [vcond(vander, LinRange, a)], yscale=:log10, legend=:topleft, xticks=range(2, a, step=2), xlabel=\"rows\", ylabel=\"cond(A)\", label=\"Vander, LinRange\")\n", "plot!(range(2, a), [vcond(vander, CosRange, a)], yscale=:log10, label=\"Vander, CosRange\")\n", "plot!(range(2, a), [vcond(vander_chebyshev, LinRange, a)], yscale=:log10, label=\"Chebyshev, LinRange\")\n", "plot!(range(2, a), [vcond(vander_chebyshev, CosRange, a)], yscale=:log10, label=\"Chebyshev, CosRange\")" ] }, { "cell_type": "markdown", "id": "23e36f6a-eeb5-44e6-bd56-172bea38a6e5", "metadata": {}, "source": [ "## Piecewise polynomials\n", "\n", "Let's take a different approach.\n", "We'll re-examine the Lagrange polynomials as we vary the points." ] }, { "cell_type": "code", "execution_count": 5, "id": "4a869a5e-4904-4a32-833f-b01a3fc33f97", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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"cell_type": "markdown", "id": "1dac2e29-d668-4c5c-a94b-4dc16d83adcb", "metadata": {}, "source": [ "Let's look at a specific # Fit the function |x|\n", "y = abs.(x)\n", "plot(s, [abs.(s) A * y], label=[\"true\" \"fit\"])example that seems like it should be easy to fit but shows strange behavior." ] }, { "cell_type": "code", "execution_count": 6, "id": "5023ad08-2f54-4728-941a-ddc872f0a4b2", "metadata": {}, "outputs": [ { "data": { "image/png": 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"image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Fit the function |x|\n", "y = abs.(x)\n", "plot(s, [abs.(s) A * y], label=[\"true\" \"fit\"])" ] }, { "cell_type": "markdown", "id": "8a53eddd-4965-44a5-bbe2-b71d32094255", "metadata": {}, "source": [ "The effects of the higher order functions seem to be producing different behavior between the points we are fitting than we want.\n", "The absolute value function looks like two linear functions glued together.\n", "Let's try that." ] }, { "cell_type": "markdown", "id": "921bff69-0268-4018-a66a-3a8fc4a9cd82", "metadata": {}, "source": [ "### New interpolation matrix" ] }, { "cell_type": "code", "execution_count": 7, "id": "87ab75b8-5e21-460d-9475-25bd4def2cd9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4×3 Matrix{Float64}:\n", " 0.0 1.0 0.0\n", " 0.0 1.0 0.0\n", " 0.0 0.0 1.0\n", " 0.0 0.0 1.0" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function interp_nearest(x, s)\n", " A = zeros(length(s), length(x))\n", " for (i, t) in enumerate(s)\n", " loc = nothing\n", " dist = Inf\n", " for (j, u) in enumerate(x)\n", " if abs(t - u) < dist\n", " loc = j\n", " dist = abs(t - u)\n", " end\n", " end\n", " A[i, loc] = 1\n", " end\n", " A\n", "end\n", "interp_nearest(LinRange(-1, 1, 3), LinRange(0, 1, 4))" ] }, { "cell_type": "code", "execution_count": 8, "id": "15372162-59eb-4b87-9dee-0b048dd2ed65", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = interp_nearest(x, s)\n", "plot(s, A[:, 1:5], label=[\"\\$c_0\\$\" \"\\$c_1\\$\" \"\\$c_2\\$\" \"\\$c_3\\$\" \"\\$c_4\\$\"])\n", "scatter!(x, ones(length(x)), label=\"values\")" ] }, { "cell_type": "markdown", "id": "d6604178-0ac4-4490-bce2-61a019807235", "metadata": {}, "source": [ "Visually the accuracy seems reasonable." ] }, { "cell_type": "code", "execution_count": 9, "id": "80467f89-7aca-434c-b6bb-f74a89fba25d", "metadata": {}, "outputs": [ { "data": { "image/png": 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"image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = CosRange(-1, 1, 41)\n", "A = interp_nearest(x, s)\n", "plot(s, A * runge.(x), label=\"fit\")\n", "plot!(s, runge.(s), label=\"true\")\n", "scatter!(x, runge.(x), label=\"data\")" ] }, { "cell_type": "markdown", "id": "78f90b90-e253-4ee8-8126-a3958ca4aa3e", "metadata": {}, "source": [ "This looks pretty good, but how accurate is it really?" ] }, { "cell_type": "code", "execution_count": 10, "id": "78bce070-4bf0-4b06-988d-0174c91e3e36", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "plot_convergence (generic function with 1 method)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function interp_chebyshev(x, xx)\n", " vander_chebyshev(xx, length(x)) * inv(vander_chebyshev(x))\n", "end\n", "\n", "function interp_monomial(x, xx)\n", " vander(xx, length(x)) * inv(vander(x))\n", "end\n", "\n", "function interp_error(ieval, x, xx, test)\n", " \"\"\"Compute norm of interpolation error for function test\n", " using method interp_and_eval from points x to points xx.\n", " \"\"\"\n", " A = ieval(x, xx)\n", " y = test.(x)\n", " yy = test.(xx)\n", " norm(A * y - yy, Inf)\n", "end\n", "\n", "function plot_convergence(ievals, ptspaces; xscale=:log10, yscale=:log10, maxpts=40)\n", " \"\"\"Plot convergence rates for an interpolation scheme applied\n", " to a set of tests.\n", " \"\"\"\n", " xx = LinRange(-1, 1, 100)\n", " ns = 2:maxpts\n", " fig = plot(title=\"Convergence\",\n", " xlabel=\"Number of points\",\n", " ylabel=\"Interpolation error\",\n", " xscale=xscale,\n", " yscale=yscale,\n", " legend=:bottomleft,\n", " size=(1000, 700))\n", " for ieval in ievals\n", " for ptspace in ptspaces\n", " for test in [runge]\n", " errors = [interp_error(ieval, ptspace(-1, 1, n), xx, test)\n", " for n in ns]\n", " plot!(ns, errors, marker=:circle, label=\"$ieval, $ptspace\")\n", " end\n", " end\n", " end\n", " for k in [1, 2, 3]\n", " plot!(ns, ns .^ (-1.0*k), color=:black, label=\"\\$n^{-$k}\\$\")\n", " end\n", " fig\n", "end" ] }, { "cell_type": "markdown", "id": "8d6015b0-d40f-4ca8-ab17-0e52a8feaa0f", "metadata": {}, "source": [ "plot_convergence([interp_monomial, interp_chebyshev, interp_nearest], [LinRange, CosRange])" ] }, { "cell_type": "markdown", "id": "ec0597e9-e084-4976-8d2d-0799d46d0e75", "metadata": {}, "source": [ "Piecewise interpolation seems to be not especially accurate, but it doesn't have the runaway Runge phenomenon.\n", "\n", "### Observations\n", "\n", "* Piecewise constant interpolation is **well-conditioned** on any set of points\n", "\n", "* Piecewise constant interpolation **converges very slowly** (needs many points)\n", "\n", "* Chebyshev/polynomial interpolation **requires special input points** otherwise it is **ill-conditioned**\n", "\n", "* Chebyshev/polynomial interpolation has **\"exponential\" convergence** for 'smooth enough' functions" ] }, { "cell_type": "markdown", "id": "d6c33bea-db3f-46c5-bf48-d8652ab9ff72", "metadata": {}, "source": [ "## Cubic Splines\n", "\n", "If we are given an arbitrary distribution of points, interpolation with a single polynomial is not robust.\n", "Piecewise constant interpolation is not very accurate and gives a rough function.\n", "We could improve the accuracy by using a piecewise linear function, but the accuracy is still limited and the function still isn't smooth (there is a \"corner\" where the slope changes at each data point).\n", "High(er)-order piecewise polynomial interpolation can be very useful, such as for finite element methods, but we will take a different direction here.\n", "\n", "Splines are a way to guarantee an arbitrary amount of smoothness.\n", "The idea is that given sorted input points $\\left\\lbrace x_i \\right\\rbrace_{i = 0}^n$, we compute an interpolating polynomial $s_i \\left( x \\right)$ on every interval $\\left( x_i, x_{i + 1} \\right)$.\n", "\n", "This approach gives us a\n", "\n", "* piecewise cubic function\n", "\n", "* continuous values\n", "\n", "* continuous derivatives" ] }, { "cell_type": "markdown", "id": "24fd5fec-223b-420b-a038-65eb8694a752", "metadata": {}, "source": [ "### Interpolation\n", "\n", "Given a function value $y_i$ at each $x_i$, we require\n", "\n", "$$ s_i \\left( x_i \\right) = y_i $$\n", "$$ s_i \\left( x_{i + 1} \\right) = y_{i + 1} $$\n", "\n", "so that the polynomial interpolates our data.\n", "If the polynomial has order greater than 1, we are left with some extra degrees of freedom.\n", "To provide a unique solution, we'll need to add conditions." ] }, { "cell_type": "markdown", "id": "5329206d-bafc-4bd1-8f19-23a0e56f3db5", "metadata": {}, "source": [ "### Smoothness\n", "\n", "The conditions above guarantee continuity, but not smoothness.\n", "We use our extra degree(s) of freedom to impose smoothness conditions of the form\n", "\n", "$$ s_i' \\left( x_{i + 1} \\right) = s_{i + 1}' \\left( x_{i + 1} \\right) $$\n", "$$ s_i'' \\left( x_{i + 1} \\right) = s_{i + 1}'' \\left( x_{i + 1} \\right) $$\n", "\n", "These conditions, which are applied at the interior nodes ($x = 1, \\dots, n - 1$) couple the splines from adjacent intervals and causes the spline approximation to be globally coupled." ] }, { "cell_type": "markdown", "id": "d70c6d32-9948-42fa-a044-dfb0d80de20f", "metadata": {}, "source": [ "### End-point conditions\n", "\n", "The conditions above are still not enough to guarantee a unique spline.\n", "Suppose we use quadratic polynomials for each $s_i$.\n", "Then with $n$ intervals, we have $n$ degrees of freedom after imposing the interpolation condition.\n", "Meanwhile, there are only $n - 1$ internal nodes.\n", "If we impose continuity of the first derivative, we have $n - \\left( n - 1 \\right) = 1$ undetermined degrees of freedom.\n", "We could fix this by imposing a boundary condition, such as that the slope at one end-point (e.g., $s_0' \\left( x_0 \\right)$) was equal to a known value.\n", "This is not symmetric and is often an unnatural condition.\n", "\n", "Suppose we use cubic polynomials.\n", "Now we have two degrees of freedom per interval after imposing the interpolation condition.\n", "If we impose continuity of the first and second derivatives, we have $2n - 2 \\left( n - 1 \\right) = 2$\n", "remaining degrees of freedom.\n", "A common choice here is the \"natural spline\", $s_0'' \\left( x_0 \\right) = 0$ and $s_n'' \\left( x_n \\right) = 0$.\n", "Cubic splines are the most popular spline in this family." ] }, { "cell_type": "markdown", "id": "6712b611-1f17-4556-8dac-495643fcc0e8", "metadata": {}, "source": [ "### Solving problems with spline interpolation\n", "\n", "We need to choose a basis for the polynomials $s_i \\left( x \\right)$.\n", "We could use\n", "\n", "$$ s_i \\left( x \\right) = a_i + b_i x + c_i x^2 + d_i x^3 $$\n", "\n", "but this choice would be very ill-conditioned when the interval $\\left( x_i, x_{i + 1} \\right)$ is far from zero.\n", "\n", "A better-conditioned choice is\n", "\n", "$$ s_i \\left( x \\right) = a_i + b_i \\left( x - x_i \\right) + c_i \\left( x - x_i \\right)^2 + d_i \\left( x - x_i \\right)^3 $$$\n", "\n", "The interpolation conditions give us\n", "\n", "$$ \\begin{split}\\begin{split}\n", "a_i &= y_i \\\\\n", "a_i + b_i \\left( x_{i+1} - x_i \\right) + c_i \\left( x_{i+1} - x_i \\right)^2 + d_i \\left( x_{i+1} - x_i \\right)^3 &= y_{i+1}\n", "\\end{split}\\end{split} $$\n", "\n", "and continuity of the first and second derivatives gives\n", "\n", "$$ \\begin{split}\\begin{split}\n", " s_i' \\left( x_{i+1} \\right) = b_i + 2 c_i \\left( x_{i+1} - x_i \\right) + 3 d_i \\left( x_{i+1}-x_i \\right)^2 &= b_{i+1} = s_{i+1}'(x_{i+1}) \\\\\n", " 2 c_i + 6 d_i \\left( x_{i+1} - x_i \\right) &= 2 c_{i+1}\n", "\\end{split}\\end{split} $$\n", "\n", "We can trivially eliminate the $a_i$, as $a_i = y_i$.\n", "This leaves a block bidiagonal system ($3 \\times 3$ blocks).\n", "We can reduce this to a scalar tridiagonal system.\n", "\n", "Define $\\delta_i = x_{i + 1} - x_i$ and $\\Delta_i = y_{i + 1} - y_i$.\n", "Then eliminate $d_i$ using\n", "\n", "$$ d_i = \\frac{c_{i + 1} - c_i}{3 \\delta_i} $$\n", "\n", "and $b_i$ using\n", "\n", "$$ \\begin{split}\\begin{split}\n", " b_i \\delta_i &= \\Delta_i - c_i \\delta_i^2 - \\underbrace{\\frac{c_{i+1} - c_i}{3 \\delta_i}}_{d_i} \\delta_i^3 \\\\\n", " b_i &= \\frac{\\Delta_i}{\\delta_i} - \\frac{\\delta_i}{3}(c_{i+1} + 2 c_i) .\n", "\\end{split}\\end{split} $$\n", "\n", "Substituting into the equation for continuity of the first derivative gives\n", "\n", "$$ \\begin{split}\\begin{split}\n", " b_i \\delta i &= \\Delta_i - c_i \\delta_i^2 - \\underbrace{\\frac{c_{i+1} - c_i}{3 \\delta_i}}_{d_i} \\delta_i^3 \\\\\n", " b_i &= \\frac{\\Delta_i}{\\delta_i} - \\frac{\\delta_i}{3}(c_{i+1} + 2 c_i) .\n", "\\end{split}\\end{split} $$\n", "\n", "which reduces to\n", "\n", "$$ \\delta_i c_i + 2 \\left( \\delta_i + \\delta_{i+1} \\right) c_{i+1} + \\delta_{i+1} c_{i+2} = 3 \\left( \\frac{\\Delta_{i+1}}{\\delta_{i+1}} - \\frac{\\Delta_i}{\\delta_i} \\right) $$\n", "\n", "To impose boundary conditions, we add a dummy interval on the right end (the actual value of $x_{n + 1} > x_n$ cancels out) so that the equation above is valid for $i = 0, \\dots, n - 2$ and the right boundary condition $s_{n - 1}'' \\left( x_n \\right) = s_n'' \\left( x_n \\right)$ becomes $c_n = 0$.\n", "The left boundary condition $s_0'' \\left( x_n \\right) = 0$ yields $c_0 = 0$, so we must solve\n", "\n", "$$ \\begin{equation}\n", "\\begin{bmatrix}\n", "1 & & & & & & \\\\\n", "\\delta_0 & 2 \\left( \\delta_0 + \\delta_1 \\right) & \\delta_1 & & & & \\\\\n", "& \\delta_1 & 2 \\left( \\delta_1 + \\delta_2 \\right) & \\delta_2 & & & \\\\\n", "& & \\ddots & \\ddots & \\ddots & & \\\\\n", "& & & & \\delta_{n-2} & 2 \\left( \\delta_{n-2}+\\delta_{n-1} \\right) & \\delta_{n-1} \\\\\n", "& & & & & & 1 \\\\\n", "\\end{bmatrix}\n", "\\begin{bmatrix} c_0 \\\\ c_1 \\\\ \\vdots \\\\ \\\\ c_{n-1} \\\\ c_n \\end{bmatrix} = \n", "\\begin{bmatrix} 0 \\\\ 3 \\left( \\frac{\\Delta_1}{\\delta_1} - \\frac{\\Delta_0}{\\delta_0} \\right) \\\\ \\vdots \\\\ 3 \\left( \\frac{\\Delta_{n-1}}{\\delta_{n-1}} - \\frac{\\Delta_{n-2}}{\\delta_{n-2}} \\right) \\\\ 0 \\end{bmatrix} .\n", "\\end{equation} $$\n", "\n", "After solving this equation for $c_i$, we will recover $b_i$ and $d_i$, and then can evaluate the spline at arbitrary points." ] }, { "cell_type": "code", "execution_count": 11, "id": "21e585a7-769e-4f03-a40b-2949522f04e7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "spline_interp_and_eval (generic function with 1 method)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Cubic spline interpolation\n", "function spline_interp_and_eval(x, s)\n", " n = length(x) - 1\n", " function s_interp(y)\n", " delta = x[2:end] - x[1:end-1] # diff(x)\n", " Delta = diff(y)\n", " T = zeros(n+1, n+1)\n", " T[1,1] = 1\n", " for i in 2:n\n", " T[i, i-1:i+1] = [delta[i-1], 2*(delta[i-1] + delta[i]), delta[i]]\n", " end\n", " T[end,end] = 1\n", " rhs = zeros(n+1)\n", " rhs[2:end-1] = 3*(Delta[2:end] ./ delta[2:end] - Delta[1:end-1] ./ delta[1:end-1])\n", " c = T \\ rhs\n", " S = zeros(n, 5)\n", " S[:, 1] = x[1:end-1]\n", " S[:, 3] = c[1:end-1]\n", " S[:, 5] = y[1:end-1]\n", " S[:, 2] = diff(c) ./ (3 * delta)\n", " S[:, 4] = Delta ./ delta - delta/3 .* (2*c[1:end-1] + c[2:end])\n", " S\n", " end\n", " \n", " function polyval(p, x)\n", " f = p[1]\n", " for c in p[2:end]\n", " f = f * x + c\n", " end\n", " f\n", " end\n", "\n", " function s_eval(S, s)\n", " f = zero(s)\n", " for (i, t) in enumerate(s)\n", " left = max(1, searchsortedfirst(S[:,1], t) - 1)\n", " f[i] = polyval(S[left, 2:end], t - S[left, 1])\n", " end\n", " f\n", " end\n", " \n", " A = zeros(length(s), length(x))\n", " aye = diagm(ones(length(x)))\n", " for i in 1:length(x)\n", " e = aye[:, i]\n", " S = s_interp(e)\n", " A[:, i] = s_eval(S, s)\n", " end\n", " A\n", "end" ] }, { "cell_type": "markdown", "id": "f5882e2e-ed4a-4ea9-a542-8ebcbde87822", "metadata": {}, "source": [ "### Let's try it" ] }, { "cell_type": "code", "execution_count": 12, "id": "ea09daee-4b5e-4841-9297-13cd295b8e24", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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"f0ade9bf-d44d-4071-9c71-67f9ddc9ad81", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cond(A) = 1.8495159246421362\n" ] }, { "data": { "image/png": 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@show cond(A)\n", "plot(s, A[:,8], label=\"\\$s_7\\$\")" ] }, { "cell_type": "markdown", "id": "365a3b86-6a26-434d-b01d-9be9bfedd3f1", "metadata": {}, "source": [ "## Interpolations.jl\n", "\n", "See the documentation [here](https://juliamath.github.io/Interpolations.jl).\n", "\n", "We can do this all with the `Interpolations` package instead of hand-coding our $A$." ] }, { "cell_type": "code", "execution_count": 14, "id": "6136f9ba-9114-4055-9d7c-f24f8a6cdc30", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[32m\u001b[1m Resolving\u001b[22m\u001b[39m package versions...\n", "\u001b[32m\u001b[1m No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.11/Project.toml`\n", "\u001b[32m\u001b[1m No Changes\u001b[22m\u001b[39m to `~/.julia/environments/v1.11/Manifest.toml`\n" ] }, { "data": { "image/png": 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", "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/html": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using Pkg\n", "pkg\"add Interpolations\"\n", "using Interpolations\n", "\n", "x = LinRange(-1, 1, 14)\n", "y = runge.(x)\n", "flin = LinearInterpolation(x, y)\n", "fspline = CubicSplineInterpolation(x, y)\n", "plot([runge, t -> fspline(t)], xlims=(-1, 1), label=[\"true\" \"fit\"])\n", "scatter!(x, y, label=\"data\")" ] }, { "cell_type": "markdown", "id": "db1fc3c2-6b49-45f5-af21-af18d5e1c1bb", "metadata": {}, "source": [ "And the condition number matches up." ] }, { "cell_type": "code", "execution_count": 15, "id": "4221fcee-da2d-446a-a041-c10fd34af0a1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cond(A) = 1.849515924642137\n" ] }, { "data": { "image/png": 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