In the mathematical study of differential equations, the Dirichlet (or first-type) boundary condition is a type of boundary condition, named after Peter Gustav Lejeune Dirichlet (1805–1859). When imposed on an ordinary or a partial differential equation, it specifies the values that a solution needs to take along the boundary of the domain. In finite element method (FEM) analysis, essential or Dirichlet boundary condition is defined by weighted-integral form of a differential equation. The dependent unknown u in the same form as the weight function w appearing in the boundary expression is termed a primary variable, and its specification constitutes the essential or Dirichlet boundary condition. The question of finding solutions to such equations is known as the Dirichlet problem. In applied sciences, a Dirichlet boundary condition may also be referred to as a fixed boundary condition. (Wikipedia).
(ML 7.7.A1) Dirichlet distribution
Definition of the Dirichlet distribution, what it looks like, intuition for what the parameters control, and some statistics: mean, mode, and variance.
From playlist Machine Learning
Electromagnetic Boundary Conditions Explained
https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. In this video
From playlist Electromagnetics
Electrical Engineering: Ch 18: Fourier Series (10 of 35) The Dirichlet Conditions
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are the four Dirichlet condition. Next video in this series can be seen at: https://youtu.be/SGfF8I8iQT4
From playlist ELECTRICAL ENGINEERING 17: THE FOURIER SERIES
Dirichlet Eta Function - Integral Representation
Today, we use an integral to derive one of the integral representations for the Dirichlet eta function. This representation is very similar to the Riemann zeta function, which explains why their respective infinite series definition is quite similar (with the eta function being an alte rna
From playlist Integrals
How to determine eigenvalues of a boundary value problem
How to determine the eigenvalues of a boundary value problem. A basic Sturm Liouville differential equation is discussed, subject to some boundary conditions. We determine necessary conditions for the problem to admit positive eigenvalues. We also show how to prove the problem has exact
From playlist Differential equations
J.-M. Martell - A minicourse on Harmonic measure and Rectifiability (Part 3)
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good properties of the associated elliptic measure. In the context of domains having an Ahlfors regular boundary and satisfying theso-called interior corkscrew and Harnack chain conditions (these ar
From playlist Rencontres du GDR AFHP 2019
J.-M. Martell - A minicourse on Harmonic measure and Rectifiability (Part 1)
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good properties of the associated elliptic measure. In the context of domains having an Ahlfors regular boundary and satisfying theso-called interior corkscrew and Harnack chain conditions (these ar
From playlist Rencontres du GDR AFHP 2019
Normal Magnetic Field Boundary Conditions
https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. In this video
From playlist Electromagnetics
The Heat Equation: Lecture 4 - Oxford Mathematics 1st Year Student Lecture
The heat equation, also known as the diffusion equation, is central to many areas in applied mathematics. In this series of four lectures - this is the fourth - forming part of the first year undergraduate mathematics course, 'Fourier Series and PDEs', the heat equation is derived and the
From playlist Oxford Mathematics 1st Year Student Lectures: The Heat Equation
Geometric inverse problems (Lecture - 2) by Gunther Uhlmann
DISCUSSION MEETING WORKSHOP ON INVERSE PROBLEMS AND RELATED TOPICS (ONLINE) ORGANIZERS: Rakesh (University of Delaware, USA) and Venkateswaran P Krishnan (TIFR-CAM, India) DATE: 25 October 2021 to 29 October 2021 VENUE: Online This week-long program will consist of several lectures by
From playlist Workshop on Inverse Problems and Related Topics (Online)
This talk by Unal Goktas presents an overview of solution methods for partial differential equations (PDEs) in the Wolfram Language. It covers not only the classical methods but also relatively modern approaches, as well as how to compute exact solutions for PDEs. The talk includes example
From playlist Wolfram Technology Conference 2020
Jörg Schumacher: "Supergranule aggregation for constant heat flux-driven turbulent convection"
Transport and Mixing in Complex and Turbulent Flows 2021 "Supergranule aggregation for constant heat flux-driven turbulent convection" Jörg Schumacher - Technische Universität Ilmenau Abstract: Turbulent flows are highly chaotic and characterized by a cascade of irregular vortices, howev
From playlist Transport and Mixing in Complex and Turbulent Flows 2021
Modeling of time evolution of temperature profile in a stochastic momentum by Aritra Kundu
Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst
From playlist Large deviation theory in statistical physics: Recent advances and future challenges
Anton Thalmaier: The geometry of subelliptic diffusions
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 Probability and Statistics
David Krejčiřík: Spectrum of the Möbius strip: true, fake and not-so-fake
CIRM VIRTUAL EVENT Recorded during the meeting "Shape Optimization, Spectral Geometry and Calculus of Variations" the March 30, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worl
From playlist Virtual Conference
J.-M. Martell - A minicourse on Harmonic measure and Rectifiability (Part 2)
Solving the Dirichlet boundary value problem for an elliptic operator amounts to study the good properties of the associated elliptic measure. In the context of domains having an Ahlfors regular boundary and satisfying theso-called interior corkscrew and Harnack chain conditions (these ar
From playlist Rencontres du GDR AFHP 2019
Konrad Polthier (7/27/22): Boundary-sensitive Hodge decompositions
Abstract: We provide a theoretical framework for discrete Hodge-type decomposition theorems of piecewise constant vector fields on simplicial surfaces with boundary that is structurally consistent with decomposition results for differential forms on smooth manifolds with boundary. In parti
From playlist Applied Geometry for Data Sciences 2022