Numerical Methods for PDEs - Class 22
Aprofunde-se em métodos numéricos avançados para equações diferenciais parciais, explorando técnicas e aplicações em nível de doutorado.
Numerical Methods for PDEs - Class 21
Explore advanced numerical methods for solving partial differential equations in this doctoral-level lecture, focusing on cutting-edge techniques and applications in mathematical modeling.
Numerical Methods for PDEs - Class 20
Explore advanced numerical methods for solving partial differential equations in this doctoral-level lecture, focusing on cutting-edge techniques and applications in mathematical modeling.
Numerical Methods for PDEs - Class 19
Explore advanced numerical methods for solving partial differential equations, focusing on techniques applicable to complex mathematical problems in doctoral-level research.
Numerical Methods for PDEs - Class 18
Explore advanced numerical methods for solving partial differential equations in this doctoral-level lecture, focusing on cutting-edge techniques and applications in mathematical modeling.
Numerical Methods for PDEs - Class 17
Explore advanced numerical methods for solving partial differential equations, focusing on complex mathematical techniques and their applications in doctoral-level research.
Fourier Transform to Solve PDEs - 1D Heat Equation on Infinite Domain
Explore solving the 1D heat equation on an infinite domain using Fourier transforms. Learn key concepts, inverse transforms, and physical properties in engineering mathematics.
ODE for Particle Trajectories in a Time-Varying Vector Field
Explore particle trajectories in time-varying vector fields through ODE analysis, featuring MATLAB code examples and practical applications in engineering mathematics.
Examples of Nonlinear Systems - Particle in a Potential Well
Explore nonlinear systems through the particle in a potential well example, covering Euler-Lagrange equations, vector fields, phase portraits, and damping in engineering mathematics.
High-Order Ordinary Differential Equations with More Derivatives - From Physics
Explore derivation of higher-order differential equations from F=ma, focusing on spring-mass systems. Learn to chain simple systems for complex equations in physics.
Linear Systems - Control Bootcamp
Analyze ordinary differential equations using eigenvalues and eigenvectors, laying the foundation for linear control theory in this comprehensive mathematical exploration.
Control Theory and Large Deviation Principles for PDEs
Explore control theory and large deviation principles for PDEs, covering IID cases, contraction principles, rate functions, and applications to random forces and controllability.
Weighted Fourier Extension Estimates and Applications
Explore weighted Fourier extension estimates and their applications in PDEs and geometric measure theory, covering topics like Fourier restriction, SME, and Falconer's distance set problem.
Tame Phenomena Over the Real Field - Lecture 6
Explore control theory concepts including flows, log spirals, limit cycles, and restricted analytic functions in this advanced graduate-level lecture on tame phenomena.
Two-Scale FEMs for Non-Variational Elliptic PDEs
Explore advanced finite element methods for non-variational elliptic PDEs, focusing on two-scale approaches, monotonicity enforcement, and novel error estimation techniques for complex mathematical problems.
Tame Control Theory - Lecture 5
Explore advanced concepts in tame control theory, focusing on phenomena over real fields. Delve into graduate-level mathematical analysis and applications.
Tame Phenomena Over the Real Field - Graduate Course Lecture 1
Explore fundamental concepts of tame control theory, focusing on real field applications and advanced mathematical principles in this graduate-level lecture.
Larry Guth- Decoupling Estimates in Fourier Analysis
Explore recent developments in decoupling, a Fourier analysis technique with applications in harmonic analysis, PDE, and number theory. Survey key applications and proof concepts.
Learning Physics-Based Reduced-Order Models from Data Using Quadratic Manifolds
Innovative approach to learning data-driven quadratic manifolds for efficient physics-based reduced-order models, combining polynomial mapping and operator inference for complex simulations.
The Extraordinary Theorems of John Nash
Explore John Nash's revolutionary contributions to game theory and geometric analysis with Fields Medal winner Cédric Villani, delving into the world of mathematical genius and groundbreaking theorems.
Understanding Chemotherapeutic Tolerance Through a Mathematical Model of Drug-Induced Resistance
Explore a mathematical model of drug-induced resistance in cancer treatment, examining chemotherapeutic tolerance and its implications for oncology.