**1st module**

**Prof. Alberto Valli**

**A.A. 1998/99**

**PROGRAMME**

The first part of the course is concerned with the numerical solution of linear algebraic systems (direct and iterative methods, gradient and conjugate gradient iterations), with the approximation theory by means of finite elements and by the basic ideas of the numerical approximation of linear partial differential equations by the Galerkin method.

The second part of the course deals with the numerical approximation
of elliptic, advection-diffusion, parabolica and hypoerbolic equations
by means of the finite element Galerkin method.

**REFERENCE TEXTS**

A. QUARTERONI, A. VALLI, NUMERICAL APPROXIMATIION OF PARTIAL DIFFERENTIAL
EQUATIONS, SPRINGER-VERLAG, BERLIN, 1994