Advanced numerical analysis (2013/2014)

Course code
4S001108
Credits
12
Coordinator
Leonard Peter Bos
Academic sector
MAT/08 - NUMERICAL ANALYSIS
Language of instruction
English
Teaching is organised as follows:
Activity Credits Period Academic staff Timetable
Teoria 6 II semestre Leonard Peter Bos
Laboratorio 6 II 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 8:30 AM - 11:30 AM lesson Lecture Hall M  
Laboratorio Monday 8:30 AM - 11:30 AM laboratorio Laboratory Gamma  

Learning outcomes

There are two parts to this course. One on Finite Elements (taught by Prof. Caliari) and the other on Splines and Multivariate Interpolation (taught by Prof. Bos). The purpose of this course is to study these two fundamental areas of numerical analysis.

Syllabus

Module: Finite Elements
-------

Introduction to the finite element method. Iterative methods for the solution of sparse linear systems. Preconditioners. Examples in Matlab/GNU Octave and FreeFem++.

Module: Splines and Multivariate Interpolation
-------

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.
Applications using Matlab.

Assessment methods and criteria

The exam will be divided into the two parts of the course. The final mark will be the average of the marks for these two parts. In order to pass the course it will be necessary to have passed both parts separately.

It is also required to have successfully completed the assigned exercises in order to pass the course.