Portale di Ateneo - En.Unibs.it

Scientific Computing is the discipline that, starting from the mathematical model, formulates a numerical model, proposes algorithms to calculate the computational solution and finally verifies both correctness and accuracy of the results obtained on the computer by the comparison with observed data.
First of all the floating point arithmetic will be presented, that is the computer arithmetic that is responsible for the rounding errors.
Then we will proceed with the presentation of the basic methods of Scientific Computing, namely: numerical solution of linear systems, equations and non-linear systems; the approximation of functions and data by means of interpolation and least-squares approximation; numerical integration; the approximation of systems of ordinary differential equations.
MATLAB (or alternatively Octave) will be used for the computer implementation of the numerical methods learned during the lesson, thus will teach the basic instructions and constructs of MATLAB/Octave. The theoretical lectures (equal to 2/5 of the course) will be constantly followed by laboratory lessons (3/5 of the course) in which the students will be called to operate in first person on the computer in order to implement the methods learned during the lessons , to verify their efficiency and accuracy.