78890 - Numerical Methods

Learning outcomes

At the end of the course, the student has acquired the knowledge and the specialized methodologies for the development of numerical algorithms, with particular reference to the solution of the typical problems of the process industry.

Course contents

Prerequisites
Subjects of Mathematical analysis and Geometry given in the courses:
Mathematical Analysis T-1, T-2 and GEOMETRY AND ALGEBRA T.
The course language is Italian.
Program.
Definition of numerical problems and main sources of error.
Conditioning of a problem. Stability of an algorithm.
Nonlinear equations and optimization.
Numerical solution of linear systems.
Numerical methods for least squares problems.
Numerical methods for non-linear systems.
Polynomial interpolation.

Readings/Bibliography

• Uri M. Ascher, Chen Greif, A first Course in Numerical Methods, SIAM 2011
• M. T. Heath, Scientific Computing, Mc Graw Hill 2002

Teaching methods

Lectures and guided exercises in the Laboratory.

Assessment methods

The Numerical Analysis T module is integrated with the Informatics Laboratory T module. The final global evaluation consists of the weighted average (according to the ECTS) of the assessments obtained in the two modules.
Numerical Analysis T: written test.
The written test consists of a set of questions, of which about 50% are theoretical questions and 50% are exercises that will require analysis and preparation of Matlab scripts. In this test, notes, codes and personal texts are not allowed.
Consult the Informatics Laboratory T page for details about the relative examination.

Teaching tools

The material provided, slides and notes will be available on the e-learning platform.

Office hours

See the website of Fabiana Zama

See the website of Margherita Porcelli