Mathematical modeling | Numerical analysis | Boundary value problems | Dimension reduction
The proper generalized decomposition (PGD) is an iterative numerical method for solving boundary value problems (BVPs), that is, partial differential equations constrained by a set of boundary conditions, such as the Poisson's equation or the Laplace's equation. The PGD algorithm computes an approximation of the solution of the BVP by successive enrichment. This means that, in each iteration, a new component (or mode) is computed and added to the approximation. In principle, the more modes obtained, the closer the approximation is to its theoretical solution. Unlike POD principal components, PGD modes are not necessarily orthogonal to each other. By selecting only the most relevant PGD modes, a reduced order model of the solution is obtained. Because of this, PGD is considered a dimensionality reduction algorithm. (Wikipedia).
How to Set Up the Partial Fraction Decomposition
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to Set Up the Partial Fraction Decomposition. Just setting them up. See my other videos for actual solved problems.
From playlist Partial Fraction Decomposition
Ex: Setting Up Partial Fraction Decomposition
This video provides several examples of how to set up the fractions in order to perform partial fraction decomposition. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Performing Partial Fraction Decomposition
Ex 1: Partial Fraction Decomposition (Linear Factors)
This video explains how to perform partial fraction decomposition when the denominator has 2 distinct linear factors. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Performing Partial Fraction Decomposition
How to integrate by partial fractions
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook How to integrate by the method of partial fraction decomposition. In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is a fraction such that the numerator
From playlist A second course in university calculus.
Ex 2: Partial Fraction Decomposition (Linear Factors)
This video explains how to perform partial fraction decomposition when the denominator has 2 distinct linear factors. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Performing Partial Fraction Decomposition
Partial Fraction Decomposition Part 1 (Linear)
This video introduces partial fraction decomposition.
From playlist Integration Using Partial Fractions
Integration Using Partial Fraction Decomposition Part 1
This video shows how partial fraction decomposition can be used to simplify and integral. This video only shows linear factors. Part 1 of 2 Site: http://mathispower4u.com
From playlist Integration Using Partial Fractions
Find the Partial Fraction Decomposition 3x/((x + 1)(x^2 + 1))
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Find the Partial Fraction Decomposition 3x/((x + 1)(x^2 + 1))
From playlist Partial Fraction Decomposition
(New Version Available) Partial Fraction Decomposition - Part 1 of 2
New Version Available: https://youtu.be/c2oLHtPA03U This video explain how to perform partial fraction decomposition with linear factors. http://mathispower4u.yolasite.com/
From playlist Integration Using Partial Fraction Decomposition
The Spectral Proper Orthogonal Decomposition
I made this video in an attempt to popularize the Spectral POD technique. It is an incredibly powerful analysis tool for understanding the data coming from a multitude of sensors. It elevates the Fourier Transform to a whole new level; hence I call it "The Mother of All Fourier Transforms"
From playlist Summer of Math Exposition 2 videos
Representation Theory(Repn Th) 2 by Gerhard Hiss
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
Jesse Peterson: Von Neumann algebras and lattices in higher-rank groups, Lecture 4
Mini course of the conference YMC*A, August 2021, University of Münster. Lecture 4: Von Neumann equivalence. Abstract: We’ll introduce measure equivalence (ME), W*-equivalence (W*E), and von Neumann equivalence (VNE). We’ll give examples and discuss invariants. YMC*A is an annual confere
From playlist YMC*A 2021
The topology of proper toric maps - Mark Andrea de Cataldo
Mark Andrea de Cataldo Stony Brook University; Member, School of Mathematics October 1, 2014 I will discuss some of the topology of the fibers of proper toric maps and a combinatorial invariant that comes out of this picture. Joint with Luca Migliorini and Mircea Mustata. More videos on
From playlist Mathematics
Alena Pirutka: On examples of varieties that are not stably rational
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 Algebraic and Complex Geometry
Imprimitive irreducible representations of finite quasisimple groups by Gerhard Hiss
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
Math 031 Spring 2018 020918 Partial Fraction Decomposition
Identity theorem: if two polynomials agree in an open interval, then they must be identical. Definition of rational functions; proper and improper. Observation that improper rational functions can be expressed as polynomials + proper rational functions via long division. Method of Parti
From playlist Course 3: Calculus II (Spring 2018)
Partial Fraction Decomposition (Part 1)
Partial fraction decomposition is when a rational expression is written as the sum of simpler fractions. This video is part 1 - it will explain how to write linear and quadratic factors in the proper decomposition form. Partial fractions are very helpful in Calculus as in when we do integ
From playlist Pre-Calculus / Trigonometry
Machine Learning for Fluid Dynamics: Patterns
This video discusses how machine learning is currently being used to extract useful patterns and coherent structures in high-dimensional fluid dynamics. Download paper at the Annual Review of Fluid Mechanics: https://www.annualreviews.org/doi/pdf/10.1146/annurev-fluid-010719-060214 Fol
From playlist Research Abstracts from Brunton Lab
Partial Fraction Decomposition Repeated Linear Factors 2x/((x + 1)(x + 2)^2)
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Partial Fraction Decomposition Repeated Linear Factors 2x/((x + 1)(x + 2)^2)
From playlist Partial Fraction Decomposition
Infimal-convolution-type regularization for inverse problems .. - Bredies - Workshop 1 - CEB T1 2019
Bredies (Univ. Graz) / 07.02.2019 Infimal-convolution-type regularization for inverse problems in imaging Infimal-convolution-type regularization for inverse problems in imaging In the last decades, infimal-convolution-type techniques developed to a viable set of tools in variational im
From playlist 2019 - T1 - The Mathematics of Imaging