Lectures related to Boundary Conditions and Basis Decomposition

Covers the solution of Maxwell equations using advanced and retarded Green functions, focusing on electrostatics with general boundary conditions.

Explores the Poisson problem with periodic boundary conditions and the application of Fourier series in mathematical modeling.

Covers the fundamentals of two-phase flow and heat transfer phenomena.

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Explores the Sturm-Liouville problem linked to the Legendre equation and its significance in physics.

Explores inverse monotonicity in numerical methods for differential equations, emphasizing stability and convergence criteria.

Explains the Laplace equation in 2D with mixed boundary conditions.

Covers Fourier series, periodic functions, and Fourier transforms.