# MATHEMATICAL MODELING FOR ENERGY SYSTEMS

_
iten
Codice
86630
2017/2018
CFU
6 cfu al 1° anno di 10170 ENERGY ENGINEERING (LM-30)
SETTORE SCIENTIFICO DISCIPLINARE
MAT/07
LINGUA
Inglese
SEDE
SAVONA (ENERGY ENGINEERING )
periodo
1° Semestre
materiale didattico

PRESENTAZIONE

The course aims to provide general mathematical techniques for the implementation of a mathematical model, for its formalization, and for the study of its behavior.

## OBIETTIVI E CONTENUTI

OBIETTIVI FORMATIVI

The aim of the course is to provide students with an overview of the basic mathematical methods used for the solution and the qualitative study of certain types of ordinary and partial differential equations of interest in engineering. At the end of the course, the student acquires the ability to study the behavior of complex systems through the formulation of a simplified mathematical model capable of describing and predict the salient features of the phenomenon.

Modalità didattiche

Traditional lectures, lab exercises with matlab.

PROGRAMMA/CONTENUTO

We introduce mathematical techniques for the construction of a mathematical model, for its formalization, and for the study of its behavior. In order to illustrate such methods, the following topics are developed:

• Systems modeled by ordinary differential equations: Population dynamics, Lotka-Volterra predator-prey models.
• Systems modeled by partial differential equations: transport equation, Laplace equation, wave and heat equations. Simple Cauchy and boundary value problems: formulation and main techniques: separation of variables (and related techniques: Fourier series and transform), fundamental solutions.
• Matlab exercises

TESTI/BIBLIOGRAFIA

• lecture notes
• E.Beltrami Mathematics for dynamic modelling Academic Press
• O.Caligaris - P.Oliva lecture notes at : //sv.inge.unige.it/DidRes/Analisi/

## DOCENTI E COMMISSIONI

Claudio Carmeli

Appointment on student's request (send an email to carm@sv.inge.unige.it).

Commissione d'esame

OTTAVIO CALIGARIS

CLAUDIO CARMELI (Presidente)

## LEZIONI

Modalità didattiche

Traditional lectures, lab exercises with matlab.

## ESAMI

Modalità d'esame

Students can choose among the following possibilities: