- Docente: Elena Loli Piccolomini
- Credits: 12
- SSD: MAT/08
- Language: English
- Moduli: Elena Loli Piccolomini (Modulo 1) Nicola Guglielmi (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
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Corso:
Second cycle degree programme (LM) in
Civil Engineering (cod. 8895)
Also valid for Second cycle degree programme (LM) in Electronic Engineering (cod. 0934)
Second cycle degree programme (LM) in Telecommunications Engineering (cod. 8846)
Learning outcomes
The goal of the course is to provide knowledge of numerical methods including: root-finding, elementary numerical linear algebra, solving systems of linear equations, curve fitting, and numerical solution to ordinary and partial differential equations. Topics include the application of finite elements to parabolic and elliptic partial differential equations.
Course contents
Finite numbers and errors.
Direct methods for the solution of linear systems.
Least squares data approximation.
Polinomial interpolation with Lagrange basis.
Numerical integration with Newton-Cotes method.
Finding roots of ninlinear equation in one dimension: bisection method, fixed point method, Newton method. Hints on the solution of nonlinear systems.
Exercises with Matlab on the previous topics.Readings/Bibliography
M. Heath, Scientific computing: An introductory survey, McGraw Hills
Teaching methods
Lessons and exercises in computer laboratory.
Assessment methods
Oral exam.
Teaching tools
Slides of the teacher.
Links to further information
http://www.dm.unibo.it/~piccolom/
Office hours
See the website of Elena Loli Piccolomini
See the website of Nicola Guglielmi