Root-finding algorithms | Approximation algorithms

Methods of successive approximation

Mathematical methods relating to successive approximation include the following: * Babylonian method, for finding square roots of numbers * Fixed-point iteration * Means of finding zeros of functions: * Halley's method * Newton's method * Differential-equation matters: * Picard–Lindelöf theorem, on existence of solutions of differential equations * Runge–Kutta methods, for numerical solution of differential equations (Wikipedia).

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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

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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

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B01 An introduction to numerical methods

Most differential equations cannot be solved by the analytical techniques that we have learned up until now. I these cases, we can approximate a solution by a set of points, by using a variety of numerical methods. The first of these is Euler's method.

From playlist A Second Course in Differential Equations

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C02 Reduction of order

The first method for solving second order linear ODE's uses reduction in order. In this method the second derivative is reduced to a first derivative in the dependent variable, which can usually be solved by separation of variables, or by introduction an integrating factor.

From playlist Differential Equations

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Convergence of Newton's Method | Lecture 17 | Numerical Methods for Engineers

Calculation of the order of convergence of Newton's method. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?s

From playlist Numerical Methods for Engineers

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Iteration

Powered by https://www.numerise.com/ Iteration

From playlist Numerical Methods

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C34 Expanding this method to higher order linear differential equations

I this video I expand the method of the variation of parameters to higher-order (higher than two), linear ODE's.

From playlist Differential Equations

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Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 2

This video explains how to apply the method of reduction of order to solve a linear second order homogeneous differential equations. Site: http://mathispower4u

From playlist Second Order Differential Equations: Reduction of Order

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STAT 200 Lesson 9 Lecture

Table of Contents: 00:50 - Lecture structure Two Proportions 01:11 - Checking assumptions 02:50 - Computing the standard error by hand 03:59 - Example: Computing the standard error for a confidence interval 06:22 - Example: Computing the standard error for a hypothesis test 08

From playlist STAT 200 Video Lectures

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2020.05.28 Andrew Stuart - Supervised Learning between Function Spaces

Consider separable Banach spaces X and Y, and equip X with a probability measure m. Let F: X \to Y be an unknown operator. Given data pairs {x_j,F(x_j)} with {x_j} drawn i.i.d. from m, the goal of supervised learning is to approximate F. The proposed approach is motivated by the recent su

From playlist One World Probability Seminar

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Mod-01 Lec-36 Solving Nonlinear Algebraic Equations: Wegstein Method and Variants of Newton's 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

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DDPS | A mathematical understanding of modern Machine Learning: theory, algorithms and applications

In this talk from July 15, 2021, Brown University assistant professor Yeonjong Shin discusses the development of robust and reliable machine learning algorithms based on insights gained from the mathematical analysis. Description: Modern machine learning (ML) has achieved unprecedented em

From playlist Data-driven Physical Simulations (DDPS) Seminar Series

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Eric Goubault, École Polytechnique

April 5, Eric Goubault, École Polytechnique Reachability and invariance for the verification of control systems, some directions

From playlist Spring 2022 Online Kolchin seminar in Differential Algebra

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Calculus 1 Newtons Method b3p1

Calculus 1 Newtons Method b3p1 Gotomath.com

From playlist Calculus 1 GoToMath.com

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Anh-Huy Phan: "Chain Tensor Network: Instability and how to deal with it"

Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop III: Mathematical Foundations and Algorithms for Tensor Computations "Chain Tensor Network: Instability and how to deal with it" Anh-Huy Phan - Skolkovo Institute of Science and Technology Abstract:

From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021

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Alexandre Tkatchenko: "Towards a Unified Machine Learning Model of Molecular Chemical Space"

Machine Learning for Physics and the Physics of Learning 2019 Workshop I: From Passive to Active: Generative and Reinforcement Learning with Physics "Towards a Unified Machine Learning Model of Molecular Chemical Space" Alexandre Tkatchenko, University of Luxembourg Institute for Pure an

From playlist Machine Learning for Physics and the Physics of Learning 2019

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Calculate a Confidence Interval for a Population Proportion (Plus Four Method)

This lesson explains how to calculator a confidence interval for a population proportion using the Plus Four Method.

From playlist Confidence Intervals

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Ex: Newton's Method to Approximate Zeros -- 2 Iterations

This video provides an example of how to approximate zeros or roots of a polynomial equation using Newton's Method. Two iterations are provided. Site: http://mathispower4u.com

From playlist Newton’s Method and L’Hopital’s Rule

Related pages

Runge–Kutta methods | Newton's method | Halley's method | Picard–Lindelöf theorem | Fixed-point iteration