Scheda programma d'esame
ANALISI NUMERICA CON LABORATORIO
DARIO ANDREA BINI
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KnowledgeThe goal of the course is twofold. From one hand, it aims to stimulate the interest about the algorithmic point of view of mathematical problems. On the other hand, it aims to create a sound basis of theoretical tools and numerical methods which enable the student to solve basic problems in an algorithmic way and to create the background for learning more advanced computational tools. The student who successfully completes the course will be also able to implement numerical algorithms in the language Octave.
Assessment criteria of knowledgeThe student will be assessed on his/her demonstrated ability - to discuss the main course contents using the appropriate terminology, - to report properties, theorems and their proofs - to solve exercises - to implement algorithms in the language Octave
- Final oral exam
- Final written exam
- attending lectures
- individual study
- Laboratory work
Syllabus- Rounding error analysis: numerical stability and conditioning - Numerical Linear Algebra: the Schur form, Gerschgorin theorems, norms - Direct methods for solving linear systems - Iterative methods for solving linear systems - Solving nonlinear equations: fixed point iterations - Interpolation and numerical integration - FFT and its applications - The language Octave
BibliographyRecommended reading includes the following works; D.A. Bini, M. Capovani, O. Menchi, "Metodi numerici per l'algebra lineare", Zanichelli, 1988. R. Bevilacqua, D.A. Bini, M. Capovani, O. Menchi, Metodi Numerici, Zanichelli, 1992 Additional lectures notes are supplied by the lecturer.
Ultimo aggiornamento 14/11/2016 17:27