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B018972 - ADVANCED NUMERICAL ANALYSIS
Main information
Course Content
Suggested readings
Learning Objectives
Prerequisites
Teaching Methods
Type of Assessment
Academic Year 2012-13
Coorte 2012 - Second Cycle Degree in COMPUTER SCIENCE
Course year
First year - First Semester
Belonging Department
Mathematics and Computer Science "Ulisse Dini" (DIMAI)
Course Type
Single education field course
Scientific Area
MAT/08 - NUMERICAL ANALYSIS
Credits
6
Teaching Hours
48
Teaching Term
24/09/2012 ⇒ 21/12/2012
Attendance required
No
Type of Evaluation
Final Grade
Course Content
show
Lectureship
Mutuality
Course teached as:
B005508 - ANALISI NUMERICA II
3-years First Cycle Degree (DM 270/04) in MATEMATICA
Curriculum APPLICATIVO
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.
Computational and implementation aspects.
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.
Computational and implementation aspects.
Suggested readings (Search our library's catalogue)
Bini, Capovani, Menchi, "Metodi Numerici per l’Algebra Lineare", Ed. Zanichelli, Bologna, 1993.
Fausett, “Applied Numerical Analysis Using Matlab”, Prentice Hall, NJ, 1999.
Gautschi, “Numerical Analysis. An Introduction”, Birkhäuser, Boston, 1997.
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.
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
Type of Assessment
Oral exam