System of ODEsExplores numerical methods for solving ODE systems, stability regions, and absolute stability importance.
Finite Element Method: Local ApproachExplores the local approach of the finite element method, covering nodal shape functions, solution restrictions, sizes, boundary conditions, and assembly operations.
Rayleigh-Benard Eigenvalue ProblemExplores the Rayleigh-Benard eigenvalue problem, finite difference schemes, boundary conditions, spatial growth, nonlinear lubrication equations, and Marangoni convection patterns.
Finite Differences MethodCovers the finite differences method for approximating solutions to differential equations through discretization and linear systems.