Numerical analysis | Computational fluid dynamics | Numerical differential equations
The finite volume method (FVM) is a method for representing and evaluating partial differential equations in the form of algebraic equations.In the finite volume method, volume integrals in a partial differential equation that contain a divergence term are converted to surface integrals, using the divergence theorem. These terms are then evaluated as fluxes at the surfaces of each finite volume. Because the flux entering a given volume is identical to that leaving the adjacent volume, these methods are conservative. Another advantage of the finite volume method is that it is easily formulated to allow for unstructured meshes. The method is used in many computational fluid dynamics packages."Finite volume" refers to the small volume surrounding each node point on a mesh. Finite volume methods can be compared and contrasted with the finite difference methods, which approximate derivatives using nodal values, or finite element methods, which create local approximations of a solution using local data, and construct a global approximation by stitching them together. In contrast a finite volume method evaluates exact expressions for the average value of the solution over some volume, and uses this data to construct approximations of the solution within cells. (Wikipedia).
Finite Difference Method for finding roots of functions including an example and visual representation. Also includes discussions of Forward, Backward, and Central Finite Difference as well as overview of higher order versions of Finite Difference. Chapters 0:00 Intro 0:04 Secant Method R
From playlist Root Finding
This video introduces volume and shows how to determine the volume of a cube and rectangular solid. http://mathispower4u.com
From playlist Volume and Surface Area (Geometry)
This video provides a basic introduction to volume.
From playlist Volume and Surface Area (Geometry)
14_9 The Volume between Two Functions
Calculating the volume of a shape using the double integral. In this example problem a part of the volume is below the XY plane.
From playlist Advanced Calculus / Multivariable Calculus
14_4 Some Fun with the Volume of a Cylinder
Using the double integral to calculate the equation for the volume of a cylinder.
From playlist Advanced Calculus / Multivariable Calculus
[Calculus] Volume with Disc Method I
We use the Disc Method to find volumes of solids created by rotating a curve around the x-axis or y-axis. LIKE AND SHARE THE VIDEO IF IT HELPED! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW Like us on Facebook: http://on.fb.me/1vWwDRc Submit your q
From playlist Calculus 2
From playlist ℕumber Theory
Calculating Volume by Cylindrical Shells
We now know one method for finding the volume of a solid of revolution. But there are tricky examples where the normal method won't work, like when both the inner and outer radius of a washer are being determined by the same function. Luckily there is another method we can use! It involves
From playlist Calculus
Introduction to Double Integrals and Volume
This video shows how to used double integrals to determine volume under a surface over a rectangular region. http://mathispower4u.wordpress.com/
From playlist Double Integrals
MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015 View the complete course: http://ocw.mit.edu/10-34F15 Instructor: James Swan This is a review session to help prepare the quiz. Later, students moved on to learn finite volume methods and constructing simulations of PD
From playlist MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015
Numerical Hydrodynamics: Part 2 by Ian Hawke
PROGRAM: GRAVITATIONAL WAVE ASTROPHYSICS (ONLINE) ORGANIZERS : Parameswaran Ajith, K. G. Arun, Sukanta Bose, Bala R. Iyer, Resmi Lekshmi and B Sathyaprakash DATE: 18 May 2020 to 22 May 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been cancelled. Howe
From playlist Gravitational Wave Astrophysics (Online) 2020
Marta D'Elia: A coupling strategy for nonlocal and local models with applications ...
The use of nonlocal models in science and engineering applications has been steadily increasing over the past decade. The ability of nonlocal theories to accurately capture effects that are difficult or impossible to represent by local Partial Differential Equation (PDE) models motivates a
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Andreas LÄUCHLI - Numerical Hamiltonian truncation approach to the \phi^4 theory in 1+1d and beyond
https://indico.math.cnrs.fr/event/2435/
From playlist Workshop “Hamiltonian methods in strongly coupled Quantum Field Theory”
Numerical Hydrodynamics: Part 3 by Ian Hawke
PROGRAM: GRAVITATIONAL WAVE ASTROPHYSICS (ONLINE) ORGANIZERS : Parameswaran Ajith, K. G. Arun, Sukanta Bose, Bala R. Iyer, Resmi Lekshmi and B Sathyaprakash DATE: 18 May 2020 to 22 May 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been cancelled. Howe
From playlist Gravitational Wave Astrophysics (Online) 2020
26. Partial Differential Equations 2
MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015 View the complete course: http://ocw.mit.edu/10-34F15 Instructor: William Green This lecture finished up the topic of partial differential equations and moved on to probability theory. License: Creative Commons BY-NC-
From playlist MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015
Ari Stern: Hybrid finite element methods preserving local symmetries and conservation laws
Abstract: Many PDEs arising in physical systems have symmetries and conservation laws that are local in space. However, classical finite element methods are described in terms of spaces of global functions, so it is difficult even to make sense of such local properties. In this talk, I wil
From playlist Numerical Analysis and Scientific Computing
Lecture 24 (CEM) -- Introduction to Variational Methods
This lecture introduces to the student to variational methods including finite element method, method of moments, boundary element method, and spectral domain method. It describes the Galerkin method for transforming a linear equation into matrix form as well as populating the global matr
From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering
Percolation on Nonamenable Groups, Old and New (Lecture-3) by Tom Hutchcroft
PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE (ONLINE) ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Mahan M J (TIFR, Mumbai) DATE & TIME: 01 March 2021 to 12 March 2021 VENUE: Online Due to the ongoing COVID pandemic, the meeting will
From playlist Probabilistic Methods in Negative Curvature (Online)
Cylinder Volume WITHOUT A Radius or Height!! (Chemistry)
Can we calculate the volume of this cylinder without any dimensions?? #physics #chemistry #NicholasGKK #tiktok #shorts
From playlist Heat and Chemistry
From PhD to PhD: A Conference Mapping the Network on Lebanese Mathematics - Day 3 - June 3, 2021
“I dislike frontiers, political or intellectual, and I find that ignoring them is an essential catalyst for creative thought. Ideas should flow without hindrance in their natural course.” Michael Atiyah In the midst of social-political turmoil, financial meltdown, disease induced lockdown,
From playlist From PhD to PhD: A Conference Mapping the Network on Lebanese Mathematics - June 1-3, 2021