Fourier Analysis and PDEsExplores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.
Internal Heat Transfer EffectsCovers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.
Example: 1D steady diffusionExplores the numerical simulation of steady convection-diffusion problems, discretization, boundary conditions, and algebraic system assembly.
Numerical Approximation of PDEsCovers the numerical approximation of PDEs, including Poisson and heat equations, transport phenomena, and incompressible limits.