Lectures related to Heat Equation: Fourier Series

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.

Covers free propagation and the heat equation solution, discussing momentum preservation and Fourier multipliers.

Covers the application of separation of variables method to solve the heat equation.

Explores linear systems, convergence, and solving methods with a focus on CPU time and memory requirements.

Explores the maximum principle in the context of the heat equation and the concept of the cylinder.

Explores solving differential equations with periodic data using Fourier series and delves into the heat equation in R.

Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.

Explores convolution properties, heat equation application, and Fourier transform on tempered distributions.

Covers numerical methods for solving boundary value problems, including applications with the Fast Fourier transform (FFT) and de-noising data.

Explores the application of Fourier transform to PDEs and boundary conditions.

Covers the Fourier law, heat equation, Righi-Leduc effect, and related experiments.

Covers Fourier series, analysis, the heat equation, Gibbs phenomenon, and Fourier transform properties.

Covers heat equations, Fourier transforms, and variable separation methods.

Explores thermal conduction, comparing stationary and unsteady regimes, the Fourier equation, and material thermal conductivity.

Covers the basics of the Laplacian operator applied to scalar fields and its importance in mathematical models.

Discusses complex analysis, focusing on Laplace transforms, Fourier series, and the heat equation's solutions and uniqueness.

Explores partial differential equations, focusing on chapter 6 equations and their solutions through Fourier series and variable separation methods.

Covers the study of the heat and wave equations, including the process of separating variables to find solutions.

Explores the heat equation, equilibrium equations, heat flux, and harmonic functions in heat distribution.

Covers the heat equation, its physical interpretation, and numerical methods for solving it.