Projects / Programmes source: ARIS

Numerična analiza (Slovene)

January 1, 1999 - April 30, 2002
Research activity

Code Science Field Subfield
1.01.00  Natural sciences and mathematics  Mathematics   

Code Science Field
P170  Natural sciences and mathematics  Computer science, numerical analysis, systems, control 
Evaluation (rules)
source: COBISS
Researchers (6)
no. Code Name and surname Research area Role Period No. of publicationsNo. of publications
1.  02506  MSc Andrej Kmet  Mathematics  Researcher  2001 - 2002  99 
2.  03425  PhD Jernej Kozak  Mathematics  Head  2001 - 2002  296 
3.  03533  PhD Mitja Lakner  Mathematics  Researcher  2001 - 2002  116 
4.  05952  MSc Matija Lokar  Mathematics  Researcher  2001 - 2002  416 
5.  09634  PhD Bojan Orel  Mathematics  Researcher  2001 - 2002  124 
6.  00725  PhD Peter Petek  Mathematics  Researcher  2001 - 2002  312 
Organisations (1)
no. Code Research organisation City Registration number No. of publicationsNo. of publications
1.  0101  Institute of Mathematics, Physics and Mechanics  Ljubljana  5055598000  20,135 
The research program is composed of three different research subjects: the study of spline functions with emphasis on the interpolation of curves and applications of piecewise polynomial functions in two dimensions, the study of new approaches in the numerical solution of ordinary differential equations, and the study of iteration of certain entire and meromophic functions, and quaternions. The problems of interpolation and approximation with visually continuous Bezier curves in several dimensions are studied. The existence, the uniqueness, the construction, and the approximation order are most commonly met questions. The problems of determining the dimension of bivariate spline spaces are studied by two approaches: the blossoming approach, and the determining set approach. The study of numerical methods for solving systems of differential equations is mainly devoted to certain classes of problems (dissipative, symplectic, isospectral) that require the numerical preservation of these invariants. For this purpose differential equations are studied in Lie algebra setting. Various emerged techniques are concerned, i.e., Magnus series, Runge-Kutta methods for a Lie group, the method of rigid frames, and discrete gradients method. In the study of problems of dynamics two particular environments are considered: quaternions and entire (and meromorphic) functions.
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