Mesh generation | Geometry processing
Laplacian smoothing is an algorithm to smooth a polygonal mesh. For each vertex in a mesh, a new position is chosen based on local information (such as the position of neighbours) and the vertex is moved there. In the case that a mesh is topologically a rectangular grid (that is, each internal vertex is connected to four neighbours) then this operation produces the Laplacian of the mesh. More formally, the smoothing operation may be described per-vertex as: Where is the number of adjacent vertices to node , is the position of the -th adjacent vertex and is the new position for node . (Wikipedia).
C79 Linear properties of the Laplace transform
The linear properties of the Laplace transform.
From playlist Differential Equations
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
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
C80 Solving a linear DE with Laplace transformations
Showing how to solve a linear differential equation by way of the Laplace and inverse Laplace transforms. The Laplace transform changes a linear differential equation into an algebraical equation that can be solved with ease. It remains to do the inverse Laplace transform to calculate th
From playlist Differential Equations
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
Laplace transform of 1/sqrt(t), *SPEED RUN*
laplace transform of 1/sqrt(t), L{1/sqrt(t)}, laplace transform examples, laplace transform lessons, blackpenredpen
From playlist Properties of Laplace Transform (Nagle's Sect7.3)
Laplace Transform Explained and Visualized Intuitively
Laplace Transform explained and visualized with 3D animations, giving an intuitive understanding of the equations. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
Periodic Functions and the Laplace Transform
Watch the Intro to the Laplace Transform in my Differential Equations playlist here: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1 We've seen previously in the playlist that Laplace Transforms work great with piecewise functions, functions that have discontinui
From playlist Laplace Transforms and Solving ODEs
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
Rafe Mazzeo - Minicourse - Lecture 2
Rafe Mazzeo Conic metrics on surfaces with constant curvature An old theme in geometry involves the study of constant curvature metrics on surfaces with isolated conic singularities and with prescribed cone angles. This has been studied from many points of view, ranging from synthetic geo
From playlist Maryland Analysis and Geometry Atelier
AMMI 2022 Course "Geometric Deep Learning" - Seminar 1 (Physics-based GNNs) - Francesco Di Giovanni
Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July 2022 Seminar 1 - Graph neural networks through the lens of multi-particle dynamics and gradient flows - Francesco Di Giovanni (Twitter) Slides: https://www.dropbox.com/s/
From playlist AMMI Geometric Deep Learning Course - Second Edition (2022)
Camillo De Lellis: Ill-posedness for Leray solutions of the ipodissipative Navier-Stokes equations
Abstract: In a joint work with Maria Colombo and Luigi De Rosa we consider the Cauchy problem for the ipodissipative Navier-Stokes equations, where the classical Laplacian −Δ is substited by a fractional Laplacian (−Δ)α. Although a classical Hopf approach via a Galerkin approximation shows
From playlist Partial Differential Equations
T. Richard - Advanced basics of Riemannian geometry 3
We will present some of the tools used by the more advanced lectures. The topics discussed will include : Gromov Hausdorff distance, comparison theorems for sectional and Ricci curvature, the Bochner formula and basics of Ricci flow.
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
T. Richard - Advanced basics of Riemannian geometry 3 (version temporaire)
We will present some of the tools used by the more advanced lectures. The topics discussed will include : Gromov Hausdorff distance, comparison theorems for sectional and Ricci curvature, the Bochner formula and basics of Ricci flow.
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
The Hypoelliptic Laplacian: An Introduction - Jean-Michel Bismut
Jean-Michel Bismut Universite de Paris-Sud March 26, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Rafe Mazzeo - Minicourse - Lecture 1
Rafe Mazzeo Conic metrics on surfaces with constant curvature An old theme in geometry involves the study of constant curvature metrics on surfaces with isolated conic singularities and with prescribed cone angles. This has been studied from many points of view, ranging from synthetic geo
From playlist Maryland Analysis and Geometry Atelier
Lecture 9: GNNs as Dynamic Systems - Francesco Di Giovanni
Video recording of the First Italian School on Geometric Deep Learning held in Pescara in July 2022. Slides: https://www.sci.unich.it/geodeep2022/slides/GRAFF_presentation%20(17).pdf
From playlist First Italian School on Geometric Deep Learning - Pescara 2022
Yilin Wang - 3/3 The Loewner Energy at the Crossroad of Random Conformal Geometry (...)
The Loewner energy for Jordan curves first arises from the large deviations of Schramm-Loewner evolution (SLE), a family of random fractal curves modeling interfaces in 2D statistical mechanics. In a certain way, this energy measures the roundness of a Jordan curve, and we show that it is
From playlist Yilin Wang - The Loewner Energy at the Crossroad of Random Conformal Geometry and Teichmueller Theory
The Laplace Transform - A Graphical Approach
Get the map of control theory: https://www.redbubble.com/shop/ap/55089837 Download eBook on the fundamentals of control theory (in progress): https://engineeringmedia.com A lot of books cover how to perform a Laplace Transform to solve differential equations. This video tries to show grap
From playlist Fourier
Hermitian and Non-Hermitian Laplacians and Wave Equaions by Andrey shafarevich
Non-Hermitian Physics - PHHQP XVIII DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Phys
From playlist Non-Hermitian Physics - PHHQP XVIII