Graph theory | Finite differences | Operator theory | Numerical differential equations | Geometry processing
In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid. For the case of a finite-dimensional graph (having a finite number of edges and vertices), the discrete Laplace operator is more commonly called the Laplacian matrix. The discrete Laplace operator occurs in physics problems such as the Ising model and loop quantum gravity, as well as in the study of discrete dynamical systems. It is also used in numerical analysis as a stand-in for the continuous Laplace operator. Common applications include image processing, where it is known as the Laplace filter, and in machine learning for clustering and semi-supervised learning on neighborhood graphs. (Wikipedia).
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
Differential Equations | The Laplace Transform of a Derivative
We establish a formula involving the Laplace transform of the derivative of a function. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist The Laplace Transform
Discrete Laplace Equation | Lecture 62 | Numerical Methods for Engineers
Derivation of the discrete Laplace equation using the central difference approximations for the partial derivatives. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscr
From playlist Numerical Methods for Engineers
Differential Equations | Laplace Transform of a Piecewise Function
We find the Laplace transform of a piecewise function using the unit step function. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist The Laplace Transform
Laplace Transform and Piecewise or Discontinuous Functions
Watch the Intro to the Laplace Transform in my Differential Equations playlist here: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1 This video deals particularly with how the Laplace Transform works with piecewise functions, a type of discontinuous functions. T
From playlist Laplace Transforms and Solving ODEs
3 Properties of Laplace Transforms: Linearity, Existence, and Inverses
The Laplace Transform has several nice properties that we describe in this video: 1) Linearity. The Laplace Transform of a linear combination is a linear combination of Laplace Transforms. This will be very useful when applied to linear differential equations 2) Existence. When functions
From playlist Laplace Transforms and Solving ODEs
Calculus 3: Divergence and Curl (23 of 32) The Laplace Operator: Ex. 1
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the Laplace operator of f=x^2+y^3+x(y^2)z. Next video in the series can be seen at: https://youtu.be/CSB7G4ueb30
From playlist CALCULUS 3 CH 8 DIVERGENCE AND CURL
Introduction to Laplace Transforms
This video introduces the Laplace transform of a function and explains how they are used to solve differential equations. http://mathispower4u.com
From playlist Laplace Transforms
Z transform of sampled signals
I explain the maths behind doing a z transform of a sampled signal
From playlist Discrete
Dalimil Mazáč - Bootstrapping Automorphic Spectra
I will explain how the conformal bootstrap can be adapted to place rigorous bounds on the spectra of automorphic forms on locally symmetric spaces. A locally symmetric space is of the form H\G/K, where G is a non-compact semisimple Lie group, K the maximal compact subgroup of G, and H a di
From playlist Quantum Encounters Seminar - Quantum Information, Condensed Matter, Quantum Field Theory
Inverting the Z transform and Z transform of systems
I move from signals to systems in describing discrete systems in the z domain
From playlist Discrete
Laplace Transform is a Linear Operator - Proof
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Laplace Transform is a Linear Operator - Proof. In this video I quickly prove the important property that the Laplace transform is a linear operator. This say
From playlist The Laplace Transform
Benjamin Stamm: A perturbation-method-based post-processing of planewave approximations for
Benjamin Stamm: A perturbation-method-based post-processing of planewave approximations for Density Functional Theory (DFT) models The lecture was held within the framework of the Hausdorff Trimester Program Multiscale Problems: Workshop on Non-local Material Models and Concurrent Multisc
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Lecture 23: Physically Based Animation and PDEs (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)
Viscosity solutions approach to variational problems - Daniela De Silva
Women and Mathematics: Colloquium Topic: Viscosity solutions approach to variational problems Speaker: Daniela De Silva Affiliation: Columbia University Date: May 21, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Carlos Esteve Yague - Spectral decomposition of atomic structures in heterogeneous cryo-EM
Recorded 18 November 2022. Carlos Esteve-Yague of the University of Cambridge Department of Applied Mathematics and Theoretical Physics presents "Spectral decomposition of atomic structures in heterogeneous cryo-EM" at IPAM's Cryo-Electron Microscopy and Beyond Workshop. Abstract: In this
From playlist 2022 Cryo-Electron Microscopy and Beyond
Bertrand Maury: Mathematics behind some phenomena in crowd motion: Stop and Go waves and...
Abstract: This minicourse aims at providing tentative explanations of some specific phenomena observed in the motion of crowds, or more generally collections of living entities. The first lecture shall focus on the so-called Stop and Go Waves, which sometimes spontaneously emerge and persi
From playlist Mathematical Physics
C75 Introduction to the Laplace Transform
Another method of solving differential equations is by firs transforming the equation using the Laplace transform. It is a set of instructions, just like differential and integration. In fact, a function is multiplied by e to the power negative s times t and the improper integral from ze
From playlist Differential Equations
"Magnetic Edge and Semiclassical Eigenvalue Asymptotics" by Dr. Ayman Kachmar
What will be the energy levels of an electron moving in a magnetic field? In a typical setting, these are eigenvalues of a special magnetic Laplace operator involving the semiclassical parameter (a very small parameter compared to the sample’s scale), and the foregoing question becomes on
From playlist CAMS Colloquia