Runge-Kutta Example - Search Videos

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!

TikTokproofbyconfusion

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 [

Proof By Confusion(@proofbyconfusion). original sound - mhmyaya. 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 ...

271 views1 month ago

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