Portale di Ateneo - En.Unibs.it

Statements of models based on parabolic equations. Caucy Problems in
R^n and in domains with boundaries. Analysitcal techniques and
qualitative properties of the solutions. Numerical algorithms in 1D
and 2D. The heat equation, the Black & Scholes model.

Statements of models based on conservation laws. Basic analytical
properties: the linear case, the hyperbolic rescaling, the formation
of shock waves. Introduction to the riemann Problem and to wave front
tracking. Numerical algorithms in 1D and dimensional splitting in
2D. TModels for the description of vehicular traffic and crowd
dynamics.