This Introduces the three fundamental types of PDE's -- Elliptic, Parabolic and Hyperbolic and studies the numerical solution of Elliptic Equations |
The sparse matrix formulation is used and iterative approachs -- Jacobi, Gauss Seidel and SOR are defined |
These are motivated by analogies between equilibrium of diffusive equations and elliptic systems |
Eigenvalue analysis is used to discuss convergence of methods |