Projects / Programmes
Numerična analiza (Slovene)
January 1, 1999
- April 30, 2002
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 |
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 |
115 |
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)
Abstract
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.