Finite Difference Methods The finite difference method for the two-point boundary value problem. Finite difference methods for parabolic, elliptic and hyperbolic linear partial differential equations. Stability and convergence. Finite Element Method The finite element method for the two-point boundary value problem. Introduction to the finite element method for two-dimensional problems. The concept of the weak formulation for boundary value problems. Basis functions, mass and stiffness matrix. Linear systems solvers. Error estimates.
G.B. = General Background, S.B. = special background, S.: Specialised.↩︎