Lectures related to Hydroacoustic Modeling: Electrical Analogy

Covers the motivation and examples of boundary value problems, the finite difference method, and the approximation of local derivatives.

Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.

Covers numerical integration methods, focusing on the trapezoidal rule and iterative processes.

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

Explores numerical methods for solving the time-dependent Schrödinger equation using grid representation and split-operator algorithms.

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

Explores zero-stability and absolute-stability in numerical methods, including Forward Euler, Backward Euler, Crank-Nicolson, and Heun's methods.