Runge-Kutta Method Introduction
5:39
YouTubeLearnChemE
Runge-Kutta Method Introduction
Organized by textbook: https://learncheme.com/ Reviews how the Runge-Kutta method is used to solve ordinary differential equations. Made by faculty at the University of Colorado Boulder Department of Chemical and Biological Engineering. Reviewed by faculty from other academic institutions. Check out our Kinetics/Reactor Design playlists: https ...
395.9K viewsJun 18, 2012
Runge Kutta Examples
Runge's phenomenon: when equally spaced nodes betray you. Increase the degree of your interpolating polynomial, and instead of converging, it explodes near the endpoints of [-1,1]. The culprit isn't the function's real-line behaviour — it's complex singularities hiding just off the axis, silently poisoning the convergence that equally spaced nodes can never achieve. Thankfully chebyshev interpolation points save the day!
0:12
Runge's phenomenon: when equally spaced nodes betray you. Increase the degree of your interpolating polynomial, and instead of converging, it explodes near the endpoints of [-1,1]. The culprit isn't the function's real-line behaviour — it's complex singularities hiding just off the axis, silently poisoning the convergence that equally spaced nodes can never achieve. Thankfully chebyshev interpolation points save the day!
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