{ "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 }