|Teoria||6||II semestre||Leonard Peter Bos|
|Laboratorio||6||II semestre||Marco Caliari|
|Teoria||mercoledì||8.30 - 11.30||lezione||Aula M|
|Teoria||venerdì||8.30 - 11.30||lezione||Aula M|
|Laboratorio||lunedì||8.30 - 11.30||laboratorio||Laboratorio didattico Gamma|
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.
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.
Univariate splines of degree 2.
Thin Plate Splines in 2 dimesnions.
RBF interpolation and positive definite functions.
Applications using Matlab.
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.