Programme

FIRST PART: CALCULATION TOOLS
• An introduction to the MATLAB (OCTAVE) environment
• Representation of real numbers with the calculator
• Calculation of zeros of a function
• Mathematical models and numerical errors
• Approximation of functions and data
• Numerical derivative
• Numerical integral
• Computational methods for solving systems of linear equations (direct and inverse methods)

SECOND PART: ALGORITHMS AND OPTIMIZATION MODELS
• The system concept
• Linear and nonlinear systems
• Abstract models and optimization models
• Mathematical models and models of mathematical optimization
• Optimization algorithms
• Multi-objective optimization
• Linear optimization
• Geometric aspects of the linear optimization
• Nonlinear optimization
• Geometric aspects of the nonlinear optimization
• Local and global optimum
• Main methods of nonlinear optimization
• Heuristic methods for the optimization: Tabu Search, Simulating Annealing, Genetic Algorithms, Bacterial Chemotaxis Algorithm, Particle Swarm
Optimization, Flock Of Starling Optimization
• Applications:
• Simulation of devices with ferromagnetic core
• Simulation Load flow optimization of grids
• Simulation of analog filters

Core Documentation

QUARTERONI ALFIO; SALERI FAUSTO - CALCOLO SCIENTIFICO. ESERCIZI E PROBLEMI RISOLTI CON MATLAB E OCTAVE - ED. SPRINGER VERLAG ------ VERCELLIS CARLO - OTTIMIZZAZIONE. TEORIA, METODI, APPLICAZIONI - ED. MCGRAW-HILL COMPANIES

Type of delivery of the course

Classroom lectures and exercises

Type of evaluation

The oral exam is held in the classroom by questions on the topics of the course