Geophysical and environmental modeling

A.Y. 2015/2016
6
Max ECTS
48
Overall hours
Language
Italian
Learning objectives
Fornire agli studenti capacità di modellazione di processi geofisici e ambientali, attraverso l'applicazione di tecniche di soluzione numerica delle equazioni differenziali a derivate parziali. Fornire agli studenti capacità di utilizzo di metodi di elaborazione dei dati e di soluzione di problemi inversi per la calibrazione dei modelli e il confronto tra osservazioni e previsioni dei modelli.
Course syllabus and organization

Unique edition

Responsible
Lesson period
First semester
Syllabus
Fundamentals of probability theory, statistics and stochastic processes; applications to geophysics and environmental physics (regression methods; multivariate analysis, principal component and factor analysis; geostatistical interpolation; Kalman filter; Markov chains).
Numerical solution of flow and transport partial differential equations: prototypical equations (equations of motion of geophysical fluids, convective-dispersive transport equations for air, water and soils); finite difference modeling; finite element modeling; analytical solutions of transport equations; particle tracking.
Spectral or Fourier analysis: signals and systems, Fourier transform (representation of signals and systems at discrete time and of the sampling in the frequency domain), discrete Fourier transform (representation of periodic and of finite-length signals, power spectrum).
Development of a model: structure of the model; model calibration (examples, inverse problems, null space, use of prior information and weighted least squares, maximum likelihood method).
Lessons: 48 hours
Professor: Giudici Mauro
Educational website(s)
Professor(s)
Reception:
By phone or mail appointment
via Cicognara 7