Lectures related to Elliptic Partial Differential Equations

Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

Explores weak formulations and solutions for elliptic problems using Galerkin methods.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

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

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.