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Numerical analysis 2

Code: 45658
ECTS: 5.0
Lecturers in charge: izv. prof. dr. sc. Zlatko Drmač - Lectures
Lecturers: prof. dr. sc. Zlatko Drmač - Exercises
English level:

1,0,0

All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.
Load:

1. komponenta

Lecture typeTotal
Lectures 30
Exercises 15
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE AIMS AND OBJECTIVES: To develop understanding of discretisation, stability, and convergence issues in numerical solution of ordinary differential equations. The DFT and FFT will be analysed and the importance of Fourier transformation in a variety of applications will be stressed. Further, nonlinear systems of equations and related optimisation problems will be discussed.

COURSE DESCRIPTION AND SYLLABUS:
1-4 Initial value problem for the ordinary differential equations.
5-6 Boundary value problem for the ODE.
7-8 Discrete Fourier transformation and FFT.
9-11 Systems of nonlinear equations. Newton method.
12-13 General approximation theory. Best approximation in (strictly) normed and unitary space. Uniform approximation in C[a,b]. Haar space and Tchebyshev systems.
Literature:
Prerequisit for:
Enrollment :
Passed : Numerical analysis 1
2. semester
Mandatory course - Mandatory studij - Applied Mathematics
Consultations schedule: