Laguerre's method for finding real and complex roots of polynomials. Includes history, derivation, examples, and discussion of the order of convergence as well as visualizations of convergence behavior. Example code available on github https://www.github.com/osveliz/numerical-veliz Chapte
From playlist Root Finding
Lagrange Polynomials for function approximation including simple examples. Chapters 0:00 Intro 0:08 Lagrange Polynomials 0:51 Visualizing L2 1:00 Numeric Example 1:11 Example Visualized 1:27 Why Lagrange Works 1:47 Lagrange Accuracy 2:12 Error 2:59 Error Visualized 3:20 Error Bounds 4:08
From playlist Numerical Methods
Ch04n2: Integrals over Infinite Intervals, Gauss Laguerre, Gauss Hermite
Integrals over Infinite Intervals. Gauss Laguerre, Gauss Hermite Numerical Computation, chapter 4, additional video no 2. To be viewed after the video ch04n1. Wen Shen, Penn State University, 2018.
From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University
Exact solution of a left-permeable open ASEP by Arvind Ayyer
Indian Statistical Physics Community Meeting 2018 DATE:16 February 2018 to 18 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore This is an annual discussion meeting of the Indian statistical physics community which is attended by scientists, postdoctoral fellows, and graduate s
From playlist Indian Statistical Physics Community Meeting 2018
Lagrange Multipliers Maximize f(x, y) = sqrt(6 - x^2 - y^2) subject to x + y - 2 = 0
Lagrange Multipliers Maximize f(x, y) = sqrt(6 - x^2 - y^2) subject to x + y - 2 = 0
From playlist Calculus 3
Lagrange Multipliers Maximum of f(x, y, z) = xyz subject to x + y + z - 3 = 0
Lagrange Multipliers Maximum of f(x, y, z) = xyz subject to x + y + z - 3 = 0
From playlist Calculus 3
Horner's Method (Ruffini-Horner Scheme) for evaluating polynomials including a brief history, examples, Ruffini's Rule with derivatives, and root finding using Newton-Horner. Example code on GitHub https://github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:11 - History 1:33 - TLDR 1
From playlist Root Finding
This video will show how to apply the method of Lagrange Multipliers to a function with two independent variables. http://mathispower4u.wordpress.com/
From playlist Functions of Several Variables - Calculus
The Aberth-Ehrlich Method for solving all roots of a polynomial simultaneously including history, methodology, examples, and order as well as comparison to Durand-Kerner. Example code github: http://github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:19 History 0:41 Methodology 0:59
From playlist Root Finding
Halley's Method (the method of tangent hyperbolas) for finding roots including history, derivation, examples, and fractals. Also discusses Taylor's Theorem relating to Halley's Method as well as Halley's Comet. Sample code and images available on GitHub https://www.github.com/osveliz/numer
From playlist Root Finding
What is the multiplicity of a zero?
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Semidefinte programming bounds by Abhinav Kumar
DISCUSSION MEETING SPHERE PACKING ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the
From playlist Sphere Packing - 2019
Francesco Mezzadri: Moments of Random Matrices and Hypergeometric Orthogonal Polynomials
We establish a new connection between moments of n×n random matrices $X_{n}$ and hypergeometric orthogonal polynomials. Specifically, we consider moments $\mathbb{E}\mathrm{Tr} X_n^{-s}$ as a function of the complex variable $s\in\mathbb{C}$, whose analytic structure we describe completely
From playlist Jean-Morlet Chair - Grava/Bufetov
Energy levels and diagram for hydrogen
MIT 8.04 Quantum Physics I, Spring 2016 View the complete course: http://ocw.mit.edu/8-04S16 Instructor: Barton Zwiebach License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 8.04 Quantum Physics I, Spring 2016
Maximize a Function of Two Variable Under a Constraint Using Lagrange Multipliers
This video explains how to use Lagrange Multipliers to maximize a function under a given constraint. The results are shown in 3D.
From playlist Lagrange Multipliers
Multivariable Calculus | Lagrange multipliers
We give a description of the method of Lagrange multipliers and provide some examples -- including the arithmetic/geometric mean inequality. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Lagrange Multipliers Maximize f(x,y) = 2x + 2xy + y subject to 2x + y = 100
Lagrange Multipliers Maximize f(x,y) = 2x + 2xy + y subject to 2x + y = 100
From playlist Calculus 3
Lagrange Multipiers: Find the Max and Min of a Function of Two Variables
This video explains how to use Lagrange Multipliers to maximum and minimum a function under a given constraint. The results are shown in using level curves. http://mathispower4u.com
From playlist Lagrange Multipliers
Gaussian Quadrature | Lecture 40 | Numerical Methods for Engineers
An explanation of Gaussian quadrature. An example of how to calculate the weights and nodes for two-point Legendre-Gauss quadrature. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engi
From playlist Numerical Methods for Engineers