88262 - Numerical Simulation

Learning outcomes

A successful learner from this course will have obtained the elements to simulate processes of the offshore energy generation systems, based on the knowledge of numerical simulation methods.

Course contents

The course consists of 24 hours of frontal lectures and 24 hours of practical exercises.

The course includes a laboratory activity that is an integral part of it. As a computing tool, we will be using MATLAB which for our purposes may best be viewed as a convenient problem solving environment.

The whole course contents are shared between two modules, as follows:

Module 1, teacher Fabiana Zama

• Basic concepts: accuracy, precision, truncation and round-off errors, condition numbers, operation counts, convergence and stability.
• Matlab programming environment.
• Solution to nonlinear equations.
• Numerical Linear Algebra: direct methods for linear systems.

Module 2, teacher Serena Morigi

• Linear least squares.
• Curve fitting.
• Numerical differentiation and integration.
• Numerical solution of Differential Equations.
  
  

Readings/Bibliography

• Uri M. Ascher, Chen Greif, A first Course in Numerical Methods, SIAM 2011

• S. C. Chapra, R. P. Canale Numerical Methods for Engineers, Sixth Edition, Mc Graw Hill.

Teaching methods

The course involves theoretical lectures and practical Matlab exercises carried out during the laboratory classes.

Assessment methods

Assessment is based on a single practical exam in the laboratory for both the two modules. The test includes 40% theoretical questions and 60% programming exercises based on the templates explained during the lectures.

Teaching tools

Lectures, lecture slides, exercises, laboratory activities with Matlab and preparatory quizzes on the learning platform IoL.

Office hours

See the website of Fabiana Zama

See the website of Serena Morigi