Free Propagation and Heat Equation

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

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

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 the application of Fourier transform to PDEs and boundary conditions.

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

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

Explores Fourier series, DFT, FFT, and their applications in signal processing and spectroscopy.

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

Explores the heat equation solutions using Fourier series and energy conservation.