Quadratic Spline Interpolation Example | Numerical Methods

In this video we are going to be walking through a quadratic spline interpolation example. Quadratic spline interpolation is an interpolation method through which we can find functions to approximate outputs based on discrete data points through the use of quadratic polynomials.
Relevant Videos:
Introduction to spline interpolation: • Introduction To Spline...
Quadratic spline interpolation theory: • Quadratic Spline Inter...
Gauss-Elimination in Python w/ partial pivoting: • Gauss Elimination With...
This timeline is meant to help you better understand how to solve a quadratic spline interpolation example:
0:00 Introduction
1:10 How to solve a quadratic spline interpolation problem.
1:43 Solving a quadratic spline interpolation example
8:29 Outro
Relevant Numerical Methods Playlists:
Numerical Methods Playlist: • Numerical vs Analytica...
Numerical Methods Examples Playlist: • Jacobi Iteration Metho...
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This video is part of our Numerical Methods course. Numerical methods is about solving math problems through approximating the solution of problems that would be difficult or impossible to solve analytically. In this playlist we will cover topics such as solving systems of linear equations, solving systems of non-linear equations, numerical integration, numerical derivatives, etc..
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[@Agus-of6rh]

This was great!

[@lydia5733]

thank you for the series on interplation, possibly the clearest explanation out there :) however the link for "Quadratic spline interpolation theory" in the description is wrong, it redirects to linear spline interpolation video instead

[@Love_Sinha]

great video !!

[@ninoraner1779]

Hello! I really appreciate how transparent and clear your notes are. What do you use to create them?

[@StudySessionYT]

Notability on iPad!

[@ninoraner1779]

@@StudySessionYT THANK YOU!

[@12thatguyoverthere]

3:43 why is P1(x) expressed as a1x^2 + b1x^2 + c1?
Shouldn't b1 only have x instead of x^2?
This is only done for P1
P2, P3 are both written in the form of ax^2+bx+c

[@12thatguyoverthere]

I'm going to assume this must be a typo, since the equations are written correctly at 2:00
But this leads to wildly different results so hopefully somebody else can correct me if needed

[@12thatguyoverthere]

It seems the author corrects himself at 3:52

[@1samurai192]

why all put exclamation mark

[@paperstars9078]

cubic spline inerpolation when?

[@nayeemulhasan0]

yamete kudasai!

[@serenity-dm1nz]

oof took me 2 mins to solve but answer is wrong AHAHAHA