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Politecnico di Torino
Anno Accademico 2007/08
01GRFGI
Numerical methods
Corso di L. Specialistica in Ingegneria Fisica - Torino
Docente Qualifica Settore Lez Es Lab Tut Anni incarico
Monegato Giovanni ORARIO RICEVIMENTO PO MAT/08 3 1 1 0 7
SSD CFU Attivita' formative Ambiti disciplinari
MAT/08 5 C - Affini o integrative Cultura scientifica, umanistica, giuridica, economica, socio-politica
Obiettivi dell'insegnamento
The course is introductory to scientific computation. The basic numerical methods for the solution of classical problems are presented and described.
Programma
Basic concepts of floating-point arithmetic. Conditioning of a problem. Numerical stability of an algorithm.
Linear systems: direct methods (Gaussian eliminitations, LU-decomposition, Choleski) and iterative methods (Jacobi, Gauss-Seidel, SOR).
Approximation of functions and data: polynomial and piecewise polynomial interpolation, splines, discrete least squares.
Nonlinear equations and systems: Newton's method and its discrete variants, fixed-point iteration.
Numerical integration: Newton-Cotes formulas, Gaussian quadrature rules, composite rules.
Initial value problems for ordinary differential equations: one-step methods (Runge-Kutta methods) and multistep (Adams) methods. Stiff problems.
Laboratori e/o esercitazioni
The students will be introduced to the MATLAB software and trained to use this tool to solve numerical problems.
Orario delle lezioni
Statistiche superamento esami

Programma definitivo per l'A.A.2007/08
Indietro



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