Linear Algebra 6.6 Function Approximation; Fourier Series
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul A. Roberts is supported in part by the grants NSF CAREER 1653602 and NSF DMS 2153803.
From playlist Linear Algebra
11_3_1 The Gradient of a Multivariable Function
Using the partial derivatives of a multivariable function to construct its gradient vector.
From playlist Advanced Calculus / Multivariable Calculus
Numerically Calculating Partial Derivatives
In this video we discuss how to calculate partial derivatives of a function using numerical techniques. In other words, these partials are calculated without needing an analytical representation of the function. This is useful in situations where the function in question is either too co
From playlist Vector Differential Calculus
Implicit Differentiation Using Function Notation: Concept Check
This video provides an example of how to perform implicit differentiation using function notation.
From playlist Implicit Differentiation
Implicit Differentiation of Functions of One Variable Using Partial Derivatives
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From playlist Differentiation
Martin J. Gander: Multigrid and Domain Decomposition: Similarities and Differences
Both multigrid and domain decomposition methods are so called optimal solvers for Laplace type problems, but how do they compare? I will start by showing in what sense these methods are optimal for the Laplace equation, which will reveal that while both multigrid and domain decomposition a
From playlist Numerical Analysis and Scientific Computing
Victorita Dolean: An introduction to domain decomposition methods - lecture1
HYBRID EVENT Recorded during the meeting "Domain Decomposition for Optimal Control Problems" the September 05, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematici
From playlist Jean-Morlet Chair - Gander/Hubert
Robert Scheichl: Generalised finite elements: domain decomposition, optimal local approximation...
I will present an efficient implementation of the highly robust and scalable GenEO preconditioner in the high-performance PDE framework DUNE. The GenEO coarse space is constructed by combining low energy solutions of local generalised eigenproblems using a partition of unity. In this talk,
From playlist Numerical Analysis and Scientific Computing
The mother of all representer theorems for inverse problems & machine learning - Michael Unser
This workshop - organised under the auspices of the Isaac Newton Institute on “Approximation, sampling and compression in data science” — brings together leading researchers in the general fields of mathematics, statistics, computer science and engineering. About the event The workshop ai
From playlist Mathematics of data: Structured representations for sensing, approximation and learning
Implicit Differentiation With Partial Derivatives Using The Implicit Function Theorem | Calculus 3
This Calculus 3 video tutorial explains how to perform implicit differentiation with partial derivatives using the implicit function theorem. My Website: https://www.video-tutor.net Patreon Donations: https://www.patreon.com/MathScienceTutor Amazon Store: https://www.amazon.com/shop/th
From playlist New Calculus Video Playlist
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Implicit differentiation using power rule
👉 Learn how to find the derivative of an implicit function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function is called differentiation. A function is said to
From playlist Find the Derivative using Implicit Differentiation
Ex 1: Determine a Derivative using The Chain Rule
This video provides an example of how to determine the derivative using a chain rule. Complete Video List: http://www.mathispower4u.com
From playlist Differentiation Using the Chain Rule
Martin Gander: On the invention of iterative methods for linear systems
HYBRID EVENT Recorded during the meeting "1Numerical Methods and Scientific Computing" the November 9, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on
From playlist Numerical Analysis and Scientific Computing
How Coloring Triangles Revolutionized Mathematics [Schur's Theorem]
#some2 An explanation of Schur's Theorem and New Perspectives. This video was a submission to the Second Summer of Math Exposition. Also, apologies for the bad audio quality. SOURCES: MIT OCW 18.217: https://ocw.mit.edu/courses/18-217-graph-theory-and-additive-combinatorics-fall-2019/
From playlist Summer of Math Exposition 2 videos
Sharp sphere packings – Maryna Viazovska – ICM2018
Number Theory | Combinatorics Invited Lecture 3.1 | 13.1 Sharp sphere packings Maryna Viazovska Abstract: In this talk we will speak about recent progress on the sphere packing problem. The packing problem can be formulated for a wide class of metric spaces equipped with a measure. An in
From playlist Number Theory
Norms in inner product spaces. Othogonality. The Cauchy-Schwarz Inequality. The Triangle Inequality. The Parallelogram Equality.
From playlist Linear Algebra Done Right
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
Jean Dolbeault: L^2 Hypocoercivity
The purpose of the $L^2$ hypocoercivity method is to obtain rates for solutions of linear kinetic equations without regularizing effects, in asymptotic regimes. Initially intended for systems with confinement in position space and simple local equilibria, the method has been extended to va
From playlist Mathematical Physics
Ex 2: Find the Inverse of a Function
This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Determining Inverse Functions