The acquired skills allow to continue studying numerical analysis at an advanced level, and provide the students with mathematical tools useful in various application fields. In fact the problems treated in the course arise, for instance in computer science, natural and social sciences, engineering, medicine, biology, and economics and financial mathematics.
– Numerical integration: Newton-Cotes formulas, Gaussian formulas, composite and adaptive formulas, Richardson extrapolation and Romberg integration, singular integrals.
– Numerical derivation: finite differences, pseudo-spectral techniques. – The theoretical results are complemented with MATLAB laboratory activities on simple case studies.
-A. QUARTERONI. R. SACCO , F. SALERI I: Numerical Mathematics, 2 ed. Springer Verlag (2007)
-L.N. Trefethen Approximation Theory and Approximation Practice, Extended Edition SIAM Ed (2020)
-R. Bevilacqua, D. Bini, M. Capovani, O. Menchi, Metodi Numerici, Zanichelli (1992)
and some notes of the teacher available on e-learning