Linear Algebra
Comprehensive exploration of linear algebra concepts, including SVD, Fourier analysis, and compressed sensing, with practical applications and coding examples in MATLAB and Python.
Solving PDEs with the Laplace Transform - The Heat Equation
Learn to solve the heat equation using Laplace Transforms. Explore problem setup, transform application, ODE solutions, and boundary conditions. Gain insights into frequency and time domain solutions.
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.
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.
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.
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.
Machine Learning to Enhance Numerical PDE Simulations
Explore machine learning techniques to enhance numerical PDE simulations, focusing on acceleration, surrogate modeling, and improved physical representation for complex physics and engineering systems.
Fourier Summation Formulas and Quasicrystals - Part 1
Explore Fourier summation formulas and quasicrystals in this advanced mathematics seminar. Gain insights into complex mathematical concepts and their applications.
Um Breve Passeio pelas Equações Diferenciais Parciais
Explore os fundamentos e aplicações das Equações Diferenciais Parciais, abordando conceitos-chave e sua importância na modelagem matemática de fenômenos complexos.
Elementary Differential Topology Applied to a Problem in Partial Differential Equations: Theoretical Aspects - 2023
Explore elementary differential topology applied to conservation laws, focusing on a 3D wave manifold and its properties for solving Riemann problems in partial differential equations.
Resolvendo Problemas de Valor Inicial para Equações Diferenciais Parciais II
Aprenda a resolver problemas de valor inicial para equações diferenciais parciais, aprofundando conhecimentos matemáticos avançados e técnicas de resolução.
Variational Formulations of Fokker-Planck Equations: Theory and Applications to Stability - Lecture 1
Explore variational formulations of Fokker-Planck equations, focusing on theory and applications to stability. Gain insights into advanced mathematical concepts at the doctorate level.
Numerical Methods for Nonlocal and Nonlinear Parabolic Equations with Applications in Hydrology and Climatology
Odkryj metody numeryczne dla nieliniowych równań parabolicznych i ich zastosowania w hydrologii i klimatologii.
Własności Ergodyczne Pewnego Równania Różniczkowego Cząstkowego i Ich Zastosowania
Zgłęb własności ergodyczne równania różniczkowego cząstkowego i ich praktyczne zastosowania w matematyce stosowanej.