Natural Cubic Spline Interpolation Example | Numerical Methods

Let’s perform a Natural Cubic Spline Interpolation Example! In this tutorial, we dive into the fascinating world of cubic spline interpolation and its applications in numerical analysis. Join us as we explore the concept of natural cubic splines, a popular method used to approximate smooth curves between data points. We'll walk you through a step-by-step example, demonstrating how to construct natural cubic splines and effectively interpolate data. Whether you're a student studying numerical methods or a curious learner interested in mathematical techniques, this video is designed to provide you with a clear understanding of natural cubic spline interpolation.

Relevant Videos: Introduction to spline interpolation: https://www.youtube.com/watch?v=5tNApkOJX2M Cubic spline interpolation theory: https://www.youtube.com/watch?v=pBtqaK0PzrA Gauss-Elimination in Python w/ partial pivoting: https://www.youtube.com/watch?v=DiZ0zSzZj1g

This timeline is meant to help you better understand how to solve a natural cubic spline spline interpolation example: 0:00 Introduction 1:46 Solving a natural cubic spline interpolation example 7:39 Using interpolating functions to estimate outputs 8:26 Outro

Relevant Numerical Methods Playlists: Numerical Methods Playlist: https://www.youtube.com/watch?v=F2NWYEOHIkc&list=PLDea8VeK4MUTOBXLpvx_WKtVrMkojEh52 Numerical Methods Examples Playlist: https://www.youtube.com/watch?v=UA7bzwCwHMI&list=PLDea8VeK4MUTxZGOTG-VNnW4T3TYwlEc9

Follow & Support StudySession: Channel Memberships: https://www.youtube.com/channel/UCaFHlSOg83nCUIHlFMlUhPw/join Email Us: StudySessionBusiness@gmail.com Twitter: https://twitter.com/StudySessionYT Instagram: https://instagram.com/StudySessionyt/

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.. #studysession #splines #cubicsplines ... https://www.youtube.com/watch?v=yOUst2672qo