Abstract of Simple Partial Differential Equations and Iterative Solvers
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 approaches -- Jacobi, Gauss Seidel and SOR are defined
These are motivated by analogies between equilibrium of diffusive equations and elliptic systems
Parallel Computing is Discussed for Gauss Seidel
Eigenvalue analysis is used to discuss convergence of methods
We discuss Multigrid methods at a simple level