Simpson’s 3/8 Rule Theory & Derivation | Numerical Analysis

In this video we're going to unravel the fascinating concept of Simpson’s 3/8 Rule, an essential technique in numerical integration, along with its derivation. Whether you're a student, an enthusiast, or a curious mind seeking to enhance your mathematical understanding, this video is tailored just for you.
Key Points Covered:
- Gain an intuitive grasp of how this rule approximates definite integrals through the division of intervals and quadratic polynomials.
- Dive deep into the derivation process, breaking down the mathematical steps and logic behind Simpson’s 3/8 Rule.
This timeline is meant to help you better understand Simpson’s 3/8 Rule Theory & Derivation:
0:00 Introduction
0:21 Introduction to the Simpson’s 3/8 rule.
2:26 General Definite Integral Of 3nd Order Lagrange Polynomials
2:38 Developing Simpson’s 3/8 rule.
5:05 Outro
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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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[@Lotsiron]

You are so underrated man. I hope these videos will reach more people and help them understand the topics

[@sarveshmhatre4051]

Hii why we don't extend the concept of p of x extends to 4rth, 5th and many more degree to get accurate result why stoped up to degree 3 of p of x.

[@johnzik1862]

Probably because it's not efficient. Problems like these are not solved by hand in the real world, we use computers to calculate them and the more operations you have in a method it gets slower.There are other ways for integrating like Rombergs integration (i am positive that this is the method MatLab uses to integrate) together with Richardsons extrapolation which will give you a better estimation and it's going to be faster.

[@sarveshmhatre4051]

Hii