Alexander I. Rozhenko

Alexander I. Rozhenko is the senior researcher of the Laboratory of Numerical Analysis and Computer Graphics at the Institute of Computational Mathematics and Mathematical Geophysics (ICMMG) of the Siberian Branch of the Russian Academy of Science (SB RAS). He works in ICMMG SB RAS (formerly the Novosibirsk Computing Center of the Siberian Branch of the Academy of Science of USSR) since 1980. He received his Ph.D. in numerical mathematics from the ICMMG SB RAS in 1990. His research interests include spline approximation theory, numerical linear algebra, and numerical software. He contributed to the development of the Fortran Library on Interpolation and Data Approximation (LIDA-3). He also curates the Publishing Department of ICMMG (since 1993) and the Siberian Journal on Numerical Mathematics (from the foundation in 1997).

Affiliation

Laboratory of Numerical Analysis and Computer Graphics
Institute of Computational Mathematics and Mathematical Geophysics
Siberian Branch of the Russian Academy of Science

Positions

Senior researcher, ICMMG SB RAS, Laboratory of Numerical Analysis and Computer Graphics
Assistant professor, Novosibirsk State University, Chair of Numerical Mathematics
Curator, Siberian Journal on Numerical Mathematics

Location

Prosp. Akad. Lavrentieva, 6
Novosibirsk, 630090 Russia

Contacts

Email: rozhenko@oapmg.sscc.ru
Phone: (+7 3832) 341557

Education

Ph.D. 1990, Computing Center SB AS USSR, Numerical Mathematics
M.S. 1980, Novosibirsk State University, Mechanics and Mathematics

Projects

LIDA-3: Library on Interpolation and Data Approximation
Java AppLib: Approximation Library for Java

Main Publications

Rozhenko A.I. Abstract Spline Theory: education guidance. Novosibirsk: NSU Publ. Center, 1999. 176 pages (in Russian).

Rozhenko A.I. Spline approximation in tensor product spaces // Siberian J. Numerical Mathematics / RAS. Siberian Branch. Novosibirsk, 1998. Vol. 1, No. 4. P. 373-390 (in Russian).

Rozhenko A.I. On optimal choice of spline-smoothing parameter // Bulletin of the Novosibirsk Computing Center. Series: Numerical Analysis. Novosibirsk: NCC Publisher, 1996. No. 7. P. 79-86.

Rozhenko A.I., Vasilenko V.A. Variational approach in abstract splines: achievements and open problems // East J. on Approx. 1995. Vol. 1, No. 3. P. 277-308.

Rozhenko A.I. On the convergence of abstract variational splines // East J. on Approx. 1995. Vol. 1, No. 1. P. 25-36.

Rozhenko A.I. Convergence of variational splines, I // Bulletin of the Novosibirsk Computing Center. Series: Numerical Analysis. Novosibirsk: NCC Publisher, 1995. No. 6. P. 69-82.

Rozhenko A.I. Mixed spline approximation // Bulletin of the Novosibirsk Computing Center. Series: Numerical Analysis. Novosibirsk: NCC Publisher, 1994. No. 5. P. 67-86.

Rozhenko A.I. Discontinuous D^m-splines and general convergence theorems for interpolating splines. Novosibirsk, 1994. (Preprint / RAS. Siberian Branch, Computing Center; 1030) (in Russian).

Rozhenko A.I. Conditions of unique solvability for the mixed spline approximation problem. Novosibirsk, 1994. (Preprint / RAS. Siberian Branch, Computing Center; 1023) (in Russian).

Rozhenko A.I. Variational rational splines of many variables // Modeling in Mechanics. Novosibirsk, 1991. Vol. 5 (22), No. 1. P. 78-88 (in Russian).

Rozhenko A.I. Convergence estimates for rational D^m-splines // Modeling in Mechanics. Novosibirsk, 1991. Vol. 5 (22), No. 1. P. 89-101 (in Russian).