Euler’s method - How to use it?
► My Differential Equations course: https://www.kristakingmath.com/differential-equations-course Euler’s method is a numerical method that you can use to approximate the solution to an initial value problem with a differential equation that can’t be solved using a more traditional method,
From playlist Differential Equations
Euler-Lagrange equation explained intuitively - Lagrangian Mechanics
Lagrangian Mechanics from Newton to Quantum Field Theory. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
How to Come Up with the Semi-Implicit Euler Method Using Hamiltonian Mechanics #some2 #PaCE1
Notes for this video: https://josephmellor.xyz/downloads/symplectic-integrator-work.pdf When you first learn about Hamiltonian Mechanics, it seems like Lagrangian Mechanics with more work for less gain. The only reason we even learn Hamiltonian Mechanics in undergrad is that the Hamiltoni
From playlist Summer of Math Exposition 2 videos
Derivation of Euler-Lagrange Equations | Classical Mechanics
The Euler-Lagrange equations describe how a physical system will evolve over time if you know about the Lagrange function. We assume that out of all the different paths a particle can take, it will be the one, where small deviations from the path won’t change the action too much. This is u
From playlist Particle Physics
Objective Barriers To Passive Transport (Lecture 2) by George Haller
DISCUSSION MEETING WAVES, INSTABILITIES AND MIXING IN ROTATING AND STRATIFIED FLOWS (ONLINE) ORGANIZERS: Thierry Dauxois (CNRS & ENS de Lyon, France), Sylvain Joubaud (ENS de Lyon, France), Manikandan Mathur (IIT Madras, India), Philippe Odier (ENS de Lyon, France) and Anubhab Roy (IIT M
From playlist Waves, Instabilities and Mixing in Rotating and Stratified Flows (ONLINE)
Download the free PDF from http://tinyurl.com/EngMathYT This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.
From playlist Lagrange multipliers
There is a wholly alternative method for considering the time evolution of a system, not invoking causality or determinism, i.e. cause and effect or force and acceleration. Without using the laws of Newton we can use the principle of extremum (minimum) action to derive equations of motion
From playlist Physics ONE
Jack Xin: "Lagrangian Approximations and Computations of Effective Diffusivities and Front Speed..."
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs "Lagrangian Approximations and Computations of Effective Diffusivities and Front Speeds in Chaotic and Stochastic Volume Preserving Flows" Jack Xin - University of California, Irvin
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Tobias Ried - Optimal Transportation, Monge–Ampère, and the Matching Problem
We present a fully variational approach to the regularity theory for the Monge-Ampère equation, or rather of optimal transportation, with interesting applications to the problem of optimally matching a realisation of a Poisson point process to the Lebesgue measure. Following De Giorgi’s st
From playlist Research Spotlight
I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.
From playlist Differential Equations
Lars Ruthotto: "A Machine Learning Framework for Optimal Transport of High-Dimensional Densities"
Deep Learning and Medical Applications 2020 "A Machine Learning Framework for Optimal Transport of High-Dimensional Densities" Lars Ruthotto, Emory University Abstract: Mean-field games (MFG) are critical classes of multi-agent models for efficient analysis of massive populations of inte
From playlist Deep Learning and Medical Applications 2020
Optimal Transportation and Applications - 12 November 2018
http://crm.sns.it/event/436 It is the ninth edition of this "traditional'' meeting in Pisa, after the ones in 2001, 2003, 2006, 2008, 2010, 2012, 2014 and 2016. Organizing Committee Luigi Ambrosio, Scuola Normale Superiore, Pisa Giuseppe Buttazzo, Dipartimento di Matematica, Università
From playlist Centro di Ricerca Matematica Ennio De Giorgi
Gianluca Crippa: "Strong convergence of vorticity for the 2D Euler Equations in the inviscid limit"
Transport and Mixing in Complex and Turbulent Flows 2021 "Strong convergence of the vorticity for the 2D Euler Equations in the inviscid limit" Gianluca Crippa - University of Basel Abstract: I will discuss some recent results obtained with G. Ciampa (University of Padova) and Stefano Sp
From playlist Transport and Mixing in Complex and Turbulent Flows 2021
Euler's method for estimating solution to non-separable first-order differential equations.
From playlist Advanced Calculus / Multivariable Calculus
Vanishing Viscosity and Conserved Quantities for 2D Incompressible Flow by Helena Nussenzweig Lopes
Program Turbulence: Problems at the Interface of Mathematics and Physics (ONLINE) ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (Indian Institute of Science, Bengaluru) DATE: 07 December 202
From playlist Turbulence: Problems at The Interface of Mathematics and Physics (Online)
Statistical Physics of Turbulence (Lecture 5) by Jeremie Bec
PROGRAM: BANGALORE SCHOOL ON STATISTICAL PHYSICS - XIII (HYBRID) ORGANIZERS: Abhishek Dhar (ICTS-TIFR, India) and Sanjib Sabhapandit (RRI, India) DATE & TIME: 11 July 2022 to 22 July 2022 VENUE: Madhava Lecture Hall and Online This school is the thirteenth in the series. The schoo
From playlist Bangalore School on Statistical Physics - XIII - 2022 (Live Streamed)
Multivariable Calculus | Lagrange multipliers
We give a description of the method of Lagrange multipliers and provide some examples -- including the arithmetic/geometric mean inequality. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
A detailed characterization of the hypersurface of pre-shocks for the Euler equa... - Steve Shkoller
Workshop on Recent developments in incompressible fluid dynamics Topic: A detailed characterization of the hypersurface of pre-shocks for the Euler equations Speaker: Steve Shkoller Affiliation: University of California, Davis Date: April 04, 2022 I will describe a new geometric approach
From playlist Mathematics
Lagrange multipliers: 2 constraints
Download the free PDF http://tinyurl.com/EngMathYT This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus