Advanced numerical analysis (2011/2012)

Course code
4S02821
Credits
12
Coordinator
Leonard Peter Bos
Academic sector
MAT/08 - NUMERICAL ANALYSIS
Language of instruction
Italian
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
Teoria 9 II semestre Leonard Peter Bos
Laboratorio 3 II semestre Maria Rosaria Russo

Lesson timetable

II semestre
Activity Day Time Type Place Note
Teoria Monday 8:30 AM - 11:30 AM lesson Lecture Hall M  
Teoria Friday 11:30 AM - 1:30 PM lesson Lecture Hall M  
Laboratorio Wednesday 2:30 PM - 3:30 PM lesson Lecture Hall M  
Laboratorio Wednesday 3:30 PM - 5:30 PM laboratorio Laboratory Gamma  

Learning outcomes

Module: Laboratory
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The implementation in Matlab and/or GNU Octave of the main algorithms studied in class.

Module: Theory
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Study of the theory and application of splines in one and higher dimensions.

Syllabus

Module:
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Univariate splines of degree 1.
Univariate splines of degree 3.
Smoothing Splines.
Univariate splines of degree 2.
Thin Plate Splines in 2 dimesnions.
RBF interpolation and positive definite functions.
Triangulations.
Some Finite Elements.
Applications.

Assessment methods and criteria

Module:
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There will be an oral exam. The students are requested to bring all the solutions to the exercises done in the Laboratory.