Università Roma Tre

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

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