Differential operators | Differential geometry
In differential geometry there are a number of second-order, linear, elliptic differential operators bearing the name Laplacian. This article provides an overview of some of them. (Wikipedia).
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
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
C79 Linear properties of the Laplace transform
The linear properties of the Laplace transform.
From playlist Differential Equations
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
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
Introduction to Laplace Transforms
Introduction to Laplace Transforms A full introduction. The definition is given, remarks are made, and an example of finding the laplace transform of a function with the definition is done.
From playlist Differential Equations
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
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
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
Emmy Noether Lecture: Conformal geometry on 4-manifolds — Sun-Yung Alice Chang — ICM2018
Conformal geometry on 4-manifolds Sun-Yung Alice Chang Abstract: In this talk, I will report on the study of a class of integral conformal invariants on 4-manifolds and applications to the study of topology and diffeomorphism type of a class of 4-manifolds. The key ingredient is the study
From playlist Special / Prizes Lectures
Why This Math Book is a Must-Read for Everyone
This is a great math book for everyone. It contains a ton of mathematics and it even teaches you Calculus. It is called Basic Technical Mathematics with Calculus and it was written by Allyn J. Washington. You can use this book for self-study or to supplement a course. It's great for beginn
From playlist Book Reviews
Alice Chang: Conformal Geometry on 4-manifolds
Abstract: In this talk, I will report on the study of integral conformal invariants on 4-manifolds and applications to the study of topology and diffeomorphism type of a class of 4-manifolds. The key ingredient is the study of the integral of 2 of the Schouten tensor which is the part of i
From playlist Abel in... [Lectures]
Alice Chang - Sobolov trace inequalities
December 19, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday. In a series of joint papers in 1988-89, Osgood-Phillips-Sarnak identified the extremal metrics of the zeta functional determinant of the Laplacian operator on compact sur
From playlist Analysis, Spectra, and Number Theory - A Conference in Honor of Peter Sarnak on His 61st Birthday
Masoud Khalkhali: Newton divided differences, higher curved quantum tori, and scalar curvature
Talk by Masoud Khalkhali in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on July 25, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
"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
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)
Andrzej Sitarz: Spectral action for 3+1 geometries
I'll demonstrate a class of models, to illustrate a principle of evolution for 3-dimensional noncommutative geometries, determined exclusively by a spectral action. One particular case is a model, which allows evolution of noncommutativeness (deformation parameter) itself for a specific c
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
PDE Modeling: Live with the R&D team
Begins at 1:37 In this stream, Oliver Ruebenkoenig gives an overview of PDE modeling capabilities based on the Finite Element Method. The presentation will cover geometry generation, mesh generation, PDE model and boundary condition setup and solving the PDEs. Stay up-to-date on future
From playlist Live with the R&D Team
Finding the Laplace Transform of a Piecewise Function
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Finding the Laplace Transform of a Piecewise Function
From playlist Differential Equations