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Projects / Programmes source: ARIS

Selected topics in numerical analysis

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Research activity

Code Science Field Subfield
1.01.03  Natural sciences and mathematics  Mathematics  Numerical and computer mathematics 

Code Science Field
P170  Natural sciences and mathematics  Computer science, numerical analysis, systems, control 
Keywords
spline function, bezier curve, blossom, differential equation, iteration of functions
Evaluation (rules)
source: COBISS
Evaluation of bibliographic research performance indicators according to ARIS methodology
Citations Citations for bibliographic records in COBIB.SI that are linked to records in citation databases
source: WoS source: Scopus source: COBISS
Researchers (4)
no. Code Name and surname Research area Role Period No. of publications
1.  03425  PhD Jernej Kozak  Mathematics  Head  1998 - 2001  296 
2.  09634  PhD Bojan Orel  Mathematics  Researcher  1998 - 2001  124 
3.  00725  PhD Peter Petek  Mathematics  Researcher  1998 - 2001  312 
4.  04640  PhD Marjeta Škapin Rugelj  Mathematics  Researcher  1998 - 2001  72 
Organisations (1)
no. Code Research organisation City Registration number No. of publications
1.  0101  Institute of Mathematics, Physics and Mechanics  Ljubljana  5055598000  20,227 
Abstract
The project is composed of three different research subjects: the study of spline functions with emphasis on the interpolation of curves and the 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 considered include: the generalization of the highly accurate curve geometrically continuous spline interpolation to the space curves and the study of various special cases, the application of the blossom approach to the to the dimension of the spline space for the Morgan-Scott partition and Diener''s conjecture, the development of new methods that retain certain invariant manifolds of the differential equations, the study of the properties of iterations of particular families of functions and quaternions.
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