System of ODEsExplores numerical methods for solving ODE systems, stability regions, and absolute stability importance.
Waves in Inhomogeneous MediumExplores waves in inhomogeneous media, covering initial and boundary conditions, numerical stability, eigen modes, and propagation principles.
Finite Difference GridsExplains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.
Wave Equation StabilityExplores the stability of the wave equation finite difference scheme and resonant excitation.
Advection-Diffusion EquationsExplores numerical solutions and stability analysis of advection-diffusion equations, emphasizing properties of analytical solutions and their behavior over time.