Advanced numerical analysis (2016/2017)

Course code
4S001108
Name of lecturer
Leonard Peter Bos
Coordinator
Leonard Peter Bos
Number of ECTS credits allocated
6
Academic sector
MAT/08 - NUMERICAL ANALYSIS
Language of instruction
English
Location
VERONA
Period
II sem. dal Mar 1, 2017 al Jun 9, 2017.

Lesson timetable

II sem.
Day Time Type Place Note
Monday 2:30 PM - 4:30 PM lesson Lecture Hall E  
Wednesday 8:30 AM - 9:30 AM lesson Laboratory Gamma from Mar 8, 2017  to Jun 9, 2017
Wednesday 9:30 AM - 10:30 AM lesson Lecture Hall M  

Learning outcomes

The purpose of this course is to study the fundamentals of Splines and Multivariate Interpolation with applications and examples implemented in Matlab.

Syllabus

Splines and Multivariate Interpolation

Hermite-Genocchi formula.
Peano Kernel formula.
Univariate splines of degree 0 and Haar Wavelets.
Univariate splines of degree 1.
Univariate splines of degree 3.
Smoothing Splines.
Subdivision of spline curves and surfaces.
General Spline spaces.
Thin Plate Splines in 2 dimesnions.
RBF interpolation and positive definite functions.
Bochner's Theorem, Schoenberg's Theorem, Micchelli's Theorem.
Applications using Matlab.

Assessment methods and criteria

There will be an oral exam for the course.

STUDENT MODULE EVALUATION - 2016/2017