Interpolation - Cubic Splines - example

This video looks at an example of how we can interpolate using cubic splines, both the Natural and clamped boundary conditions are considered.

Text Book: Numerical Analysis by Burden, Faires & Burden

[noellw]

Best explanation on the Internet! Finally solved my problem with 4 Data-points!

[asifahmed]

Thanks a lot, you have given a better explanation than any one in the internet .

[benjamindeworsop]

Awesome video. No fluff, just straight explanation

[gerling-sprigadegbr]

Dankeschön, endlich habe ich die Lösung! Wirklich einzigartig online.
Das war sehr anschaulich und die Sprachbarriere war kein Problem.

[adammed]

4th equation in the matrix, b1 should be equal to zero, and c1=-1. Anyway, thanks for the video, very very very helpful!!

[SSuchti]

one of the videos that shows me how higher math works spot on.
Thank you dude, you filled wholes in my understanding i couldn't fill myself :)

[iftakharalam]

you are the best explainer among the cubic spline lecture videos. also, you are the great explainer. Thanks for making this type of video. our professors are very lazy to explain.

[joeychou]

Thank you so much! You made a good explanation of cubic spline. I suffer a lot from understanding the concepts in numerical analysis and using Mathematica. I hope that I could have found your videos earlier for this semester.

[saranga]

You saved like One and Half days of mine. Thank you

[norrisleung]

Very nice. Learnt a lot. I think the example can be more clear if the input and output have distinct value. The polymial passing through (1, 2) (2, 3) (3, 5), and we are considering intervals [1, 2] and [2, 3] (on x axis), which is kind of confusing since one may think the "2" comes from the point (1, 2) and the "3" comes from the point (2, 3).
Anyway, great video!! Thank you

[davidirimia]

You are a hero! My homework was this exact same exercise, same parameters! :D

[timharig]

Underrated. Name looks foreign but speaks perfect English. All of the other videos are by Indians with strong accents. Good explanation. Please vote up.

[gontle]

Thank you so much.I was struggling to understand but after your clear explanation I think I’m ready for the test👍

[Hansly_rz]

really helpful... calculus one professor had us do a project explaining cubic spline which is, in my opinion, way off the scale here. You saved my day thank you so much

[forzahorizoneliminator]

what the hell you've helped me soo much and its only today that i realized i didn't subscribe to your channel wow am sorry...and thanks for the work you are helping us a lot and making things easy for us we appreciate man

[poppyblop]

Sorry to ask, but do you wear a cape? If not, you should, because ur a hero

[lordhazimuka]

Maybe you can also tell us how you solved the augmented matrix. The rest i understand though.

[helenab.]

Thank you sooo much!!! I have to write a program for Cubic Splines for university but I had no clue about Cubic Splines. This was so helpful :)

[benm]

This video was incredibly helpful, thank you!

[adamm]

How do you get the boundary conditions for s''(both 0 and 1)? is this a natural polynomial? I thought that would only work for the first derivatives being = to 0