Скачать или смотреть How to Do Interpolation Using Polynomials | Chapter 1: Pre-requisites of Finite Element Method

Master the basics of interpolation using polynomials—an essential concept in the Finite Element Method (FEM). In this video, we break down the fundamentals of polynomial interpolation, step-by-step, to help you build a strong foundation for FEM. Perfect for students, researchers, and engineers, this is the first chapter in our series on FEM prerequisites.

What you’ll learn in this video:
1. Introduction to Polynomial Interpolation: Understand the basics of interpolation.
2. Higher-Order Interpolation: Explore linear, quadratic, and higher-order polynomial interpolation.
3. Practical Examples: See how interpolation is applied with clear examples and visualizations.
4. Hand-on experience: Use the codes from the link below to explore the world of interpolating polynomials

By the end of this video, you’ll have a solid understanding of polynomial interpolation, setting you up for success in mastering the Finite Element Method!

Github repository: https://github.com/Numerically-Stable...

Connect with me on LinkedIn:   / pranjal-saxena-9608197819  

Animations are made using Manim Library (by ‪@3blue1brown‬ ) in Python : https://www.manim.community/

Chapters
00:00 Introduction
00:52 Why curve fitting?
02:23 Hint from Taylor series
03:53 Definition of Norm (error measure)
05:00 Types of curve fitting
05:43 Interpolation curve fitting algorithm
07:18 Error analysis
08:19 Examples
11:15 Conclusion and further questions