Advanced numerical analysis (2012/2013)

Course code
4S001108
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, I semestre Leonard Peter Bos
Laboratorio 3 II semestre, I semestre Marco Caliari

Lesson timetable

II semestre
Activity Day Time Type Place Note
Teoria Wednesday 8:30 AM - 11:30 AM lesson Lecture Hall M  
Teoria Friday 9:30 AM - 12:30 PM lesson Lecture Hall M  
Laboratorio Monday 8:30 AM - 11:30 AM lesson Laboratory Gamma  

Learning outcomes

Module: Laboratory
-------

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 0 and Haar Wavelets.
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

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