Introduction To Spline Interpolation | Numerical Methods

[@mohammadtorikh]

Thank you for the explanation!

[@StudySessionYT]

Thanks for watching!

[@12thatguyoverthere]

Why is cubic spline not considered 3rd order?

[@Yazan_Majdalawi]

Shouldn't the second-order polynomial be called quadratic?

[@fenixfyre]

I think its because locally the polynomial is cubic but globally it appears to be quadratic thus they refer to it as cubic since spline interpolation is all about fitting the local polynomials together to create a better global estimate (fit). I'm inclined to believe this because in another video he shows the same example and states that cubic were used in between point 1 and 2, and between points 2 and 3, the local approximation. Take my response with a grain of salt cause I could be wrong.

[@courtneyshafer1079]

Thank you so much for your videos, they've been helping a lot with my numerical analysis course. Will you be uploading any videos on trigonometric interpolation?

[@StudySessionYT]

Happy to hear that, thanks for watching! I will be covering numerical differentiation and integration in the coming videos (after interpolation)

[@EW-mb1ih]

at 3:10, cubic spline is 3rd ordrer polynomial, not 2nd ordrer which would be quadratic spline

[@SJr9869]

Hy , around 3:20 isnt that quadratic spline instead of cubic? Thank you for the wonderful explanations too ! 🙏

[@helenkarimakwenda2095]

Hey StudySession! Thanks for the useful explanations, they are all great!... Just would like to find out when might the spline interpolation example video be coming out?

[@shalabi7936]

First of all thanks a lot, your theaching is much much better than my nomarical methods professor, so now I think I have a better chance of passing the couse. When is the next video? I really need to learn more about cubic spline 😁😅