Computational fluid dynamics | Numerical differential equations
In numerical analysis the diffuse element method (DEM) or simply diffuse approximation is a meshfree method. The diffuse element method was developed by B. Nayroles, G. Touzot and Pierre Villon at the Universite de Technologie de Compiegne, in 1992.It is in concept rather similar to the much older smoothed particle hydrodynamics. In the paper they describe a "diffuse approximation method", a method for function approximation from a given set of points.In fact the method boils down to the well-known moving least squares for the particular case of a global approximation (using all available data points). Using this function approximation method, partial differential equations and thus fluid dynamic problems can be solved. For this, they coined the term diffuse element method (DEM).Advantages over finite element methods are that DEM doesn't rely on a grid, and is more precise in the evaluation of the derivatives of the reconstructed functions. (Wikipedia).
C07 Homogeneous linear differential equations with constant coefficients
An explanation of the method that will be used to solve for higher-order, linear, homogeneous ODE's with constant coefficients. Using the auxiliary equation and its roots.
From playlist Differential Equations
Chemical Reactions (11 of 11) Stoichiometry: Grams to Liters of a Gas
Shows how to use stoichiometry to convert from grams of a substance to liters of a substance. A chemical reaction is a process that leads to the chemical change of one set of chemical substances to another. Chemical reactions encompass changes that only involve the positions of electrons
From playlist Chemical Reactions and Stoichiometry
Diffusion Of Gases | Properties of Matter | Chemistry | FuseSchool
Diffusion Of Gases | Properties of Matter | Chemistry | FuseSchool Learn the basics about Diffusion of gases. How are gases diffused? What methods are used to diffuse gases? Find out more in this video! SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our t
From playlist CHEMISTRY
The first method for solving second order linear ODE's uses reduction in order. In this method the second derivative is reduced to a first derivative in the dependent variable, which can usually be solved by separation of variables, or by introduction an integrating factor.
From playlist Differential Equations
Diffusion equation (separation of variables) | Lecture 53 | Differential Equations for Engineers
Solution of the diffusion equation (heat equation) by the method of separation of variables. Here, the first step is to separate the variables. Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/different
From playlist Differential Equations for Engineers
Chemical Reactions (6 of 11) Quick Review 5 Types of Chemical Reactions
Gives a quickened easy overview of the five types of chemical reactions. A chemical reaction is a process that leads to the chemical change of one set of chemical substances to another. Chemical reactions encompass changes that only involve the positions of electrons in the forming and b
From playlist Chemical Reactions and Stoichiometry
Diffusion equation | Lecture 52 | Differential Equations for Engineers
Derivation of the diffusion equation (same equation as the heat equation). Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf Subscribe to my channel: http://www.yo
From playlist Differential Equations for Engineers
Numerical Homogenization by Localized Orthogonal Decomposition (Lecture 3) by Daniel Peterseim
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
Explicit Methods for Solving the Diffusion Equation | Lecture 69 | Numerical Methods for Engineers
Derivation of the forward-time centered-space (FTCS) method for solving the one-dimensional diffusion equation. 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 Subscribe
From playlist Numerical Methods for Engineers
FEM@LLNL | Space-Time Hybridizable Discontinuous Galerkin with MFEM
Sponsored by the MFEM project, the FEM@LLNL Seminar Series focuses on finite element research and applications talks of interest to the MFEM community. On March 29, 2022, Tamas Horvath of Oakland University presented "Space-Time Hybridizable Discontinuous Galerkin with MFEM." Unsteady par
From playlist FEM@LLNL Seminar Series
FEM@LLNL | An Efficient and Effective FEM Solver for Diffusion Equation with Strong Anisotropy
Sponsored by the MFEM project, the FEM@LLNL Seminar Series focuses on finite element research and applications talks of interest to the MFEM community. On December 13, 2022, Lin Mu of the University of Georgia presented "An Efficient and Effective FEM Solver for Diffusion Equation with St
From playlist FEM@LLNL Seminar Series
Chemistry of Gases (35 of 40) Diffusion of Gases: Basics
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the basics of the diffusion of gases.
From playlist CHEMISTRY 10 THE CHEMISTRY OF GASES
Wolfram Language for Materials Sciences Applications
We will discuss how the Wolfram Language can be used for modeling and analysis in the field of materials science. Examples will be included from the following topics: i The Molecule function in the Wolfram Language ii LatticeData and related functions iii Calculating percentage area of gra
From playlist Wolfram Technology Conference 2021
Numerical Homogenization by Localized Orthogonal Decomposition (Lecture 1) by Daniel Peterseim
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
Axel Målqvist: Localization of multiscale problems
The lecture was held within the framework of the Hausdorff Trimester Program Multiscale Problems: Workshop on Numerical Inverse and Stochastic Homogenization. (13.02.2017) We will present the Local Orthogonal Decomposition technique for solving partial differential equations with multisca
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
Modeling Multi-Physics with PDEs
In this talk, Oliver Ruebenkoenig describes how to build multi physics models in the Wolfram Language to simulate multiple interacting physical phenomena. It introduces a new partial differential equation (PDE) modeling language that makes it easy to set up both PDEs and boundary condition
From playlist Wolfram Technology Conference 2020
The Vector Heat Method - SIGGRAPH 2019
The Vector Heat Method. Nicholas Sharp, Yousuf Soliman, and Keenan Crane. ACM Trans. on Graph. (2019) Paper: http://www.cs.cmu.edu/~kmcrane/Projects/VectorHeatMethod/paper.pdf Code: https://github.com/nmwsharp/vector-heat-demo This paper describes a method for efficiently computing paral
From playlist Research
Andy Wathen: Preconditioning for Parallel-in-time
This talk consists of two parts, one elementary and one related to the solution of complicated systems of evolutionary partial differential equations. In the first part we show how preconditioning for all-at-once descriptions of linear time-dependent differential equations can defeat the e
From playlist Jean-Morlet Chair - Gander/Hubert
C17 Non homogeneous higher order linear ODEs with constant coefficients
Explanation of the methods involved in solving a non-homogeneous, linear, ODE, with constant coefficients.
From playlist Differential Equations
Tzanio Kolev - Meso and Macroscale Modeling 1 - IPAM at UCLA
Recorded 15 March 2023. Tzanio Kolev of Lawrence Livermore National Laboratory presents "Meso and Macroscale Modeling 1" at IPAM's New Mathematics for the Exascale: Applications to Materials Science Tutorials. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/new-mathematic
From playlist 2023 New Mathematics for the Exascale: Applications to Materials Science Tutorials