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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Lokale Interpolation: Einführung"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"**Runges Phänomen:** Polynome mit hohem Grad neigen zum Schwingen.\n",
"\n",
"Stückweise interpolieren -> Polynome von kleinem Grad aneinandersetzen."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Stückweise quadratische, kubische, lineare Polynominterpolation\n",
"\n",
"<img src='imgs/Piecewise_Interpolation.png' />"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"#### Kubische Interpolationspolynome für zwei Stützstellen mit variierenden Steigungen\n",
"<img src='imgs/Kubisch.png' />\n",
"\n",
"Steigungen an den Stützstellen explizit vorgeben..."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"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": "3.9.1"
}
},
"nbformat": 4,
"nbformat_minor": 4
}