NUMERICAL ANALYSIS
Academic year and teacher
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- Versione italiana
- Academic year
- 2011/2012
- Teacher
- SILVIA BONETTINI
- Credits
- 6
- Curriculum
- INDUSTRIALE
- Didactic period
- Secondo Semestre
- SSD
- MAT/08
Training objectives
- The aim of the course is to make the students aware of the problems of the numerical processing, with particular attention to the floating point arithmetic and the computational complexity in the time and the space; some of the basic methods of the scientific computing (numerical solution of linear systems, nonlinear equations, polynomial interpolation and least squares approximation) are implemented by using interactive environments for scientific computing and visualization of the results.
Prerequisites
- Basic notions of linear algebra and calculus. Knowledge of a scientific programming language.
Course programme
- Computer arithmetic: representation of the floating-point numbers and related operations; conditioning of a problem and stability of an algorithm; error propagation. Direct and iterative methods for the solution of linear systems.
Numerical methods for the solution of nonlinear equations. Polynomial and piecewise polynomial interpolation. Least squares approximation. Practice in laboratory in MATLAB environment. Didactic methods
- Theoretical/practical lessons.
Learning assessment procedures
- Written examination.
Reference texts
- L.W.Johnson, R.D. Riess: Numerical Analysis, second edition, Addison Wesley 1982;
V.Comincioli - Analisi numerica - McGraw Hill, 1990;
Burden R. L., Faires J.D., Numerical Analysis, Prindle Weber & Schmidt, Boston MA. 1985;
