1. komponenta

Lecture type	Total
Lectures	30
Exercises	15

* Load is given in academic hour (1 academic hour = 45 minutes)

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.

Enrollment :
Attended : Numerical analysis 1

Examination :
Passed : Numerical analysis 1

Mandatory course - Regular study - Applied Mathematics