Numerical analysis | Perturbation theory
In science, engineering, and other quantitative disciplines, order of approximation refers to formal or informal expressions for how accurate an approximation is. (Wikipedia).
Polynomial approximations -- Calculus II
This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus II
Ex: Order Integers from Least to Greatest
The video provides an example of how to order integers from least to greatest by plotting the integers on the number line. Search Complete Video Library at http://www.mathispower4u.wordpress.com
From playlist Introduction to Integers
Approximating Functions in a Metric Space
Approximations are common in many areas of mathematics from Taylor series to machine learning. In this video, we will define what is meant by a best approximation and prove that a best approximation exists in a metric space. Chapters 0:00 - Examples of Approximation 0:46 - Best Aproximati
From playlist Approximation Theory
Error bounds for Taylor approximations -- Calculus II
This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus II
Definition of the Order of an Element in a Group and Multiple Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of the Order of an Element in a Group and Multiple Examples
From playlist Abstract Algebra
Lecture: Higher-order Accuracy Schemes for Differentiation and Integration
The accuracy of the differentiation approximations is considered and new schemes are developed to lower the error. Integration is also introduced as a numerical algorithm.
From playlist Beginning Scientific Computing
Ex 1: Determine Higher Order Derivatives
This video provides an example of how to determine the first, second, third, and fourth derivative of a function. Complete Video List at http://www.mathispower4u.com
From playlist Higher Order Differentiation
Orders on Sets: Part 1 - Partial Orders
This was recorded as supplemental material for Math 115AH at UCLA in the spring quarter of 2020. In this video, I discuss the concept and definition of a partial order.
From playlist Orders on Sets
Lecture: Approximation 2018-09-10
Approximating higher order transfer functions. Taylor series, Padé approximants and response-based approximation.
From playlist Lectures
Why Padé Approximations Are Great! | Control Systems in Practice
Watch an introduction to Padé approximations. Learn what Padé approximations are and how to calculate them, why they are important, and when to use them—specifically in the context of time delay and control system design. Learn More: - Robust Control of an Active Suspension: https://bit.l
From playlist Control Systems in Practice
Mod-01 Lec-12 Solving ODE - BVPs Using Firute Difference Method
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org
Numerically approximating first order equations -- differential equations 7
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From playlist Differential Equations
Anthony Nouy: Adaptive low-rank approximations for stochastic and parametric equations [...]
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Numerical Analysis and Scientific Computing
Catherine Drysdale: Complications making amplitude equations in fluid mechanics
CIRM HYBRID EVENT Recorded during the meeting "Mathematical Aspects of Physics with Non-Self-Adjoint Operators: 10 Years After" the February 02, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other ta
From playlist Mathematical Physics
Mohammad Farazmand: "Accelerated Gradient Optimization: A Multiscale Analysis"
Machine Learning for Physics and the Physics of Learning 2019 Workshop III: Validation and Guarantees in Learning Physical Models: from Patterns to Governing Equations to Laws of Nature "Accelerated Gradient Optimization: A Multiscale Analysis" Mohammad Farazmand - North Carolina State Un
From playlist Machine Learning for Physics and the Physics of Learning 2019
In this video we discuss the Taylor Series (and the closely related Maclaurin Series). These are two specific types of Power Series that allow you to approximate a function with derivatives of the function at an expansion point. We show how to derive the Taylor Series coefficients in sin
From playlist Optimization
Example 1: Evaluate An Expression Using The Order of Operations
This video provides an example of evaluating an expression using the order of operations. Complete video list: http://www.mathispower4u.yolasite.com
From playlist Order of Operations
A quick run over different approximation methods an why we would use them. The reference to the Skogestad method is to this video: https://youtu.be/pSG1FBxCvkE
From playlist Laplace