Laplacian of a scalar or vector field | Lecture 20 | Vector Calculus for Engineers
Definition of the Laplacian of a scalar or vector field. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engineers Lecture notes at http://www.math.ust.hk/~machas/vector-calculus-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_con
From playlist Vector Calculus for Engineers
Physics - Advanced E&M: Ch 1 Math Concepts (13 of 55) What is the Laplacian of a Scalar (Field)?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain, develop the equation, and give examples of the Laplacian of a scalar (field). Next video in this series can be seen at: https://youtu.be/2VXFzhcGT3U
From playlist PHYSICS 67 ADVANCED ELECTRICITY & MAGNETISM
Physics - Advanced E&M: Ch 1 Math Concepts (33 of 55) Curl of a Cylindrical Vector Field
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is the Laplacian in a cylindrical vector field. Next video in this series can be seen at: https://youtu.be/OuSpKEg8KzU
From playlist PHYSICS 67 ADVANCED ELECTRICITY & MAGNETISM
Physics Ch 67.1 Advanced E&M: Review Vectors (45 of 55) What is the Laplacian?
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will find the Laplacian of f(x,y,z)=x^4+x^2y+5z^3+8. Next video in this series can be seen at: https://youtu.be/9r0TOm-gKrc
From playlist PHYSICS 67.1 ADVANCED E&M VECTORS & FIELDS
Physics Ch 67.1 Advanced E&M: Review Vectors (97 of 113) Laplacian in Cylindral Coordinates
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will calculate the Laplacian of f in cylindrical coordinates, given f=(roh)[sin(phi)]. Next video in this series can be seen at:
From playlist PHYSICS 67.1 ADVANCED E&M VECTORS & FIELDS
Polar Coordinates (Laplacian) | Lecture 28 | Vector Calculus for Engineers
I derive the Laplacian operator in polar coordinates. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engineers Lecture notes at http://www.math.ust.hk/~machas/vector-calculus-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confir
From playlist Vector Calculus for Engineers
A Laplacian for Nonmanifold Triangle Meshes - SGP 2020
Authors: Nicholas Sharp and Keenan Crane presented at SGP 2020 https://sgp2020.sites.uu.nl https://github.com/nmwsharp/nonmanifold-laplacian Abstract: We describe a discrete Laplacian suitable for any triangle mesh, including those that are nonmanifold or nonorientable (with or without b
From playlist Research
Vector Calculus 1: What Is a Vector?
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Vector Calculus
C79 Linear properties of the Laplace transform
The linear properties of the Laplace transform.
From playlist Differential Equations
Lecture 18: The Laplace Operator (Discrete Differential Geometry)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg
From playlist Discrete Differential Geometry - CMU 15-458/858
Robert Ghrist (8/29/21): Laplacians and Network Sheaves
This talk will begin with a simple introduction to cellular sheaves as a generalized notion of a network of algebraic objects. With a little bit of geometry, one can often define a Laplacian for such sheaves. The resulting Hodge theory relates the geometry of the Laplacian to the algebraic
From playlist Beyond TDA - Persistent functions and its applications in data sciences, 2021
Field Equations Helmholz Decomposition [Redux]
[Redux: Errata fixed from previous version of this lecture. I corrected the expression for the Laplacian and gradient in spherical coordinates and repaired my execution of the delta function's volume integral.] In this lesson we prove the theorem which tells us that any vector field can b
From playlist QED- Prerequisite Topics
Sparsification of graphs and matrices - Daniel Spielman
Daniel Spielman Yale University November 3, 2014 Random graphs and expander graphs can be viewed as sparse approximations of complete graphs, with Ramanujan expanders providing the best possible approximations. We formalize this notion of approximation and ask how well an arbitrary graph
From playlist Mathematics
Lecture 03: Vector Calculus (P)Review (CMU 15-462/662)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/
From playlist Computer Graphics (CMU 15-462/662)
Integration by parts in higher dimensions In this video, I show you how to integrate by parts in higher dimensions. As a neat application, I show that there is only one solution to Laplace's equation with given boundary conditions. This is sometimes called Green's first (and second) ident
From playlist Partial Differential Equations
AMMI 2022 Course "Geometric Deep Learning" - Seminar 4 (Neural Sheaf Diffusion) - Cristian Bodnar
Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July 2022 Seminar 5 - Neural Sheaf Diffusion - Cristian Bodnar (Cambridge) Slides: https://www.dropbox.com/s/7hyqlwh45bdkv0f/AIMS%202022%20-%20Seminar%204%20-%20Neural%20sheaf
From playlist AMMI Geometric Deep Learning Course - Second Edition (2022)
PHYS 102 | Second Derivatives of Fields 5 - The Vector Laplacian is Leftover Garbage
Manipulate the curl of the curl a bit to simplify it. Add some terms and you find the gradient of the divergence, plus a lot of left over terms. Those terms look kind of like Laplacians of each component of the vector field, so we call it the "Vector Laplacian". -----Let There Be Light
From playlist PHYS 102 | Let There Be Light
Jeff Calder: "Discrete regularity for graph Laplacians"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs "Discrete regularity for graph Laplacians" Jeff Calder - University of Minnesota, Twin Cities Abstract: The spectrum of the graph Laplacian plays an important role in data science,
From playlist High Dimensional Hamilton-Jacobi PDEs 2020