Course teached as: B005508 - ANALISI NUMERICA II 3-years First Cycle Degree (DM 270/04) in MATEMATICA Curriculum APPLICATIVO
Course Content
Conjugate gradient method (CG) for positive definite linear systems.
Singular value decomposition (SVD). Numerical methods for computing eigenvalues and eigenvectors of real matrices.
Runge-Kutta methods for initial value problems, with convergence, consistency and stability properties. Local trunction error estimate and variable stepsize.
Fausett, “Applied Numerical Analysis Using Matlab”, Prentice Hall, NJ, 1999.
Gautschi, “Numerical Analysis. An Introduction”, Birkhäuser, Boston, 1997.
Learning Objectives
Knowledge acquired: basic full knowledge in numerical linear algebra. Some knowledges in the theory and methodologies for the numerical treatment of initial value problems.
Competence acquired: basic full expertise in numerical analysis.
Skills acquired: being able to select, to implement and use a numerical method for solving a fundamental problem in linear algebra. Being able to treat numerically an initial value problem.
Prerequisites
Courses recommended: Analisi Numerica I
Teaching Methods
Traditional lessons and exercise sections in a computer lab