Domain decomposition methods

Additive Schwarz method

In mathematics, the additive Schwarz method, named after Hermann Schwarz, solves a boundary value problem for a partial differential equation approximately by splitting it into boundary value problems on smaller domains and adding the results. (Wikipedia).

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Feynman Integral from Reddit

Reddit Feynman Integral. We calculate the integral from 0 to 1 of x^2 - 1 / lnx using two methods: the Feynman technique and classical u substitution. Both methods are useful in physics and a must learn for beginning calculus students and anyone interested in integrals and integration. 0:

From playlist Integrals

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Gaussian Integral 7 Wallis Way

Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I calculate the Gaussian integral by using a technique that is very similar to the

From playlist Gaussian Integral

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Understanding and computing the Riemann zeta function

In this video I explain Riemann's zeta function and the Riemann hypothesis. I also implement and algorithm to compute the return values - here's the Python script:

From playlist Programming

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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

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Ex 2: Determine a Derivative using The Limit Definition

This video determine the derivative of a basic rational function using the limit definition. It also determines the slope of a tangent line at a given value of x. Complete Video List at

From playlist Introduction and Formal Definition of the Derivative

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Midpoint riemann sum approximation

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist The Integral

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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

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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

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Partial Implicit Differentiation

From playlist Functions of Several Variables - Calculus

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Synthesis Workshop: The Schwartz Reagent (Episode 72)

In this Named Reaction episode, we take a look at the Schwartz reagent (zirconocene hydrochloride). References (in order of appearance): For recent characterization work on the structure of this reagent using microcrystal electron diffraction (MicroED), see: ACS Cent. Sci. 2019, 5, 1507-1

From playlist Named Reactions

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Find the Difference of Mixed Numbers - Compare 2 Methods

This video explains how to find the difference of mixed numbers using improper fractions and using mixed numbers. A model is shown.

From playlist Adding and Subtracting Mixed Numbers

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Jayce Getz: New avenues for the circle method, Lecture I

Motivated by research arising from automorphic representation theory, I will present some ideas that should open up new avenues of research in the circle method. In the first half of the lectures I will discuss an adelic version of the delta-method of Duke, Friedlander, Iwaniec and Heath-B

From playlist Hausdorff School "The Circle Method"

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Integrating using inverse functions

German Version: In today's video we are going to learn, how to integrate inverse functions, for exapmle the inverse tangent. We are going to derive the corresponding formula and will solve the natural logarithm as an example. Help me create more and better co

From playlist Theory and Proofs

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11. Pseudorandom graphs I: quasirandomness

MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: YouTube Playlist: Prof. Zhao discusses a classic result of Chung, Graham, a

From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019

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DDPS | Schwarz alternating method as a means for concurrent multiscale coupling in solid mechanics

Concurrent multiscale methods are essential for the understanding and prediction of behavior of engineering systems when a small-scale event will eventually determine the performance of the entire system. This talk will describe the recently-proposed [1,2] domain-decomposition-based Schwar

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

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Alexandre Sukhov - J-complex curves: some applications (Part 3)

We will focus in our lectures on the following : 1. J-complex discs in almost complex manifolds : general properties. Linearization and compactness. Gromov’s method : the Fredholm alternative for the d-bar operator. Attaching a complex disc to a Lagrangian manifold. Application : exotic sy

From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications

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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

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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

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How do we apply inverses to trigonometric functions

👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-

From playlist Evaluate Inverse Trigonometric Functions

Related pages

Finite difference | Finite element method | Interval (mathematics) | Mathematics | Function (mathematics) | Coordinate system | Partial derivative | Schwarz alternating method | Domain (mathematical analysis) | Boundary value problem | Partial differential equation