Numerical artefacts | Numerical differential equations

Numerical diffusion

Numerical diffusion is a difficulty with computer simulations of continua (such as fluids) wherein the simulated medium exhibits a higher diffusivity than the true medium. This phenomenon can be particularly egregious when the system should not be diffusive at all, for example an ideal fluid acquiring some spurious viscosity in a numerical model. (Wikipedia).

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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

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Project VI: Two-Dimensional Diffusion Equation | Lecture 74 | Numerical Methods for Engineers

A discussion about a MATLAB code to solve the two-dimensional diffusion equation using the Crank-Nicolson method. 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

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Implicit Methods for Solving the Diffusion Equation | Lecture 71 | Numerical Methods for Engineers

Von Neumann stability analysis of an implicit 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 to my

From playlist Numerical Methods for Engineers

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Crank-Nicolson Method for the Diffusion Equation | Lecture 72 | Numerical Methods for Engineers

How to construct the Crank-Nicolson 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 to my channel: htt

From playlist Numerical Methods for Engineers

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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

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Diffusion equation (Fourier series) | Lecture 55 | Differential Equations for Engineers

Solution of the diffusion equation (heat equation). Here, we satisfy the initial conditions using a Fourier series. 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.p

From playlist Differential Equations for Engineers

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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

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Superdiffusive Hydrodynamics In Isotropic Quantum Spin Chains by Romain Vasseur

DISCUSSION MEETING : HYDRODYNAMICS AND FLUCTUATIONS - MICROSCOPIC APPROACHES IN CONDENSED MATTER SYSTEMS (ONLINE) ORGANIZERS : Abhishek Dhar (ICTS-TIFR, India), Keiji Saito (Keio University, Japan) and Tomohiro Sasamoto (Tokyo Institute of Technology, Japan) DATE : 06 September 2021 to 1

From playlist Hydrodynamics and fluctuations - microscopic approaches in condensed matter systems (ONLINE) 2021

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Solving a system of equations with infinite many solutions

👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e

From playlist Solve a System of Equations Using Elimination | Medium

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Integrable and Near-integrable Spin Chains in Theory and Reality by Joel Moore

DISCUSSION MEETING : HYDRODYNAMICS AND FLUCTUATIONS - MICROSCOPIC APPROACHES IN CONDENSED MATTER SYSTEMS (ONLINE) ORGANIZERS : Abhishek Dhar (ICTS-TIFR, India), Keiji Saito (Keio University, Japan) and Tomohiro Sasamoto (Tokyo Institute of Technology, Japan) DATE : 06 September 2021 to

From playlist Hydrodynamics and fluctuations - microscopic approaches in condensed matter systems (ONLINE) 2021

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Anomalous spin diffusion in one-dimensional antiferromagnets by Jacopo De Nardis

PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is

From playlist Thermalization, Many Body Localization And Hydrodynamics 2019

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Stable Models and Algorithms for Backward Diffusion Evolutions - Weickert - Workshop 1-CEB T1 2019

Weickert (Saarland University) / 04.02.2019 Stable Models and Algorithms for Backward Diffusion Evolutions Backward diffusion equations are potentially useful for image enhancement and deblurring. However, these processes are regarded as typical representatives for ill-posed problems t

From playlist 2019 - T1 - The Mathematics of Imaging

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Anomalous transport in one-dimensional quantum systems by Vir Bulchandani

PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is

From playlist Thermalization, Many Body Localization And Hydrodynamics 2019

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Solutal Convection in Porous Media

Date and Time: Thursday, October 14, 12:00pm Eastern time zone Speaker: Marc Hesse, University of Texas at Austin Abstract: Solutal convection in porous media is thought to be controlled by the molecular Rayleigh number, Ram, the ratio of the buoyant driving force over dissipation by mole

From playlist SIAM Geosciences Webinar Series

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On the numerical integration of the Lorenz-96 model... - Grudzien - Workshop 2 - CEB T3 2019

Grudzien (U Nevada in Reno, USA) / 13.11.2019 On the numerical integration of the Lorenz-96 model, with scalar additive noise, for benchmark twin experiments ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook

From playlist 2019 - T3 - The Mathematics of Climate and the Environment

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MATLAB Solution of the Diffusion Equation | Lecture 73 | Numerical Methods for Engineers

How to write a MATLAB code to solve the diffusion equation using the Crank-Nicolson method. 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 to my channel: http:/

From playlist Numerical Methods for Engineers

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Li Wang: An asymptotic preserving method for Levy Fokker Planck equation with fractional...

CIRM VIRTUAL EVENT Recorded during the meeting "Kinetic Equations: from Modeling, Computation to Analysis" the March 23, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide m

From playlist Virtual Conference

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Diffusive Back and Forth Nudging algorithm - Didier Auroux

PROGRAM: Data Assimilation Research Program Venue: Centre for Applicable Mathematics-TIFR and Indian Institute of Science Dates: 04 - 23 July, 2011 DESCRIPTION: Data assimilation (DA) is a powerful and versatile method for combining observational data of a system with its dynamical mod

From playlist Data Assimilation Research Program

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GCSE Science Revision Biology "Diffusion"

Find my revision workbooks here: https://www.freesciencelessons.co.uk/workbooks/ In this video, we look at diffusion. I take you through the concept of diffusion and then we look at three factors that affect the rate of diffusion. Image credits: All images were created by and are the pro

From playlist 9-1 GCSE Biology Paper 1 Cell Biology

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