Engineering Math Pre-Req - Quick and Dirty Introduction to Matlab
High-level introduction to essential Matlab commands for engineering math, covering arithmetic, loops, matrices, plotting, and solving equations and differential equations.
Second-Order ODE: Spring-Mass-Damper
Comprehensive tutorial on solving second-order ODEs for damped harmonic oscillators, covering derivation, solution methods, and practical implementation in Matlab and Python.
Second-Order Ordinary Differential Equations - Solving the Harmonic Oscillator Four Ways
Explore four methods to solve second-order ODEs for harmonic oscillators: guessing, Taylor series, alternative guessing, and matrix systems. Gain practical problem-solving skills in differential equations.
The Simplest Ordinary Differential Equation and Its Exponential Solution
Explore exponential solutions to simple ODEs through real-world examples like population growth, compound interest, and radioactive decay. Gain intuitive understanding of Euler's number and its applications.
Differential Equations and Dynamical Systems - Overview
Explore dynamical systems and their applications in various fields. Learn classic and modern techniques for modeling real-world phenomena, from fluid dynamics to epidemiology.
Stability of Forward Euler and Backward Euler Integration Schemes for Differential Equations
Explore stability of Forward and Backward Euler integration schemes for differential equations through eigenvalue analysis, covering continuous and discrete dynamics, scalar and matrix systems.
But What Is a Fourier Series? From Heat Flow to Drawing With Circles
Explore Fourier series through heat flow and circular drawings, understanding complex mathematical concepts with engaging animations and clear explanations.
Differential Equations, a Tourist's Guide
Explore ordinary differential equations through intuitive visualizations, covering concepts like vector fields, phase spaces, and real-world applications in physics and social dynamics.
Latent Stochastic Differential Equations for Irregularly-Sampled Time Series - David Duvenaud
Explore advanced techniques for analyzing irregularly-sampled time series data using latent stochastic differential equations, with applications in predictive modeling and continuous-time machine learning.
Non-Uniqueness of Leray Solutions of the Forced Navier-Stokes Equations - Dallas Albritton
Explore non-uniqueness in Navier-Stokes equations, focusing on Leray solutions, unstable manifolds, and vortex dynamics in fluid mechanics.
Viscosity Solutions Approach to Variational Problems - Daniela De Silva
Explore viscosity solutions for variational problems with Daniela De Silva. Learn about Laplace's equation, Harnack inequality, and discrete equations in this advanced mathematics lecture.
Solving Fractional Differential Equations with FractionalDiffEq.jl
Discover how to solve complex fractional differential equations using FractionalDiffEq.jl, a powerful Julia package that integrates with SciML for advanced mathematical modeling and scientific computing.
The Principal Eigenvalue of Time-Periodic Nonlocal Equations with Drift
Explore time-periodic nonlocal equations with drift, focusing on principal eigenvalue analysis in this advanced mathematical lecture by Pierre Gabriel.
Optimal Transportation, Monge-Ampère Equations and Riemannian Ricci Bounds - Lecture 3
Explore geometric measure theory and optimal transport with a focus on Monge-Ampère equations and Riemannian Ricci bounds in this advanced mathematics lecture by L. Ambrosio.
Canonical Weierstrass Representation of Minimal Lorentz Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric
Explore canonical Weierstrass representation of minimal Lorentz surfaces in pseudo-Euclidean 4-space, including isothermal parameters, PDEs, and explicit solutions.
Theoretical Study of the Emergence of Periodic Solutions for the Inhibitory NNLIF Neuron Model with Synaptic Delay
Explore periodic solutions in inhibitory NNLIF neuron models with synaptic delay through theoretical analysis and mathematical insights.
35 Years of Critical Nonlinear Analysis
Explorez 35 ans d'analyse non linéaire critique avec Pierre Raphaël, de sa carrière précoce aux théorèmes révolutionnaires et modèles supercritiques en énergie.
The Regularity Problem for the Landau Equation
Explore the intricacies of the Landau equation's regularity problem with François Golse, delving into advanced mathematical concepts and their applications.
Mean Field Games: Well-posedness, Singularities and Beyond
Explore mean field games, their well-posedness, singularities, and advanced concepts with renowned mathematician Pierre-Louis Lions from Collège de France.
L'IHES célèbre les mathématiciennes - 9 mai 2023
Découvrez les parcours inspirants de deux mathématiciennes talentueuses, leurs recherches innovantes et leurs expériences uniques dans le domaine des mathématiques et de l'analyse d'images.
Some Considerations About Social Dynamics Models
Découvrez les modèles de dynamique sociale à travers le parcours d'une mathématicienne spécialiste des équations aux dérivées partielles. Explorez les systèmes de particules en interaction et les systèmes sur graphes.