Christopher (Krzysztof) Sikorski, Ph.D.
Professor
Computer Science Department
University of Utah
Research Interests
Professor Sikorski's research interests are in the areas of parallel
scientific computation and computational complexity with special
emphasis on information based complexity. Of special interest are
applied problems in geophysics like 3-D forward and inverse problems,
3-D migration based on quasi Monte Carlo algorithms, as well as
combustion engineering problems (convection-diffusion and fluid mechanics).
Professor Sikorski and his students implemented several parallel/distributed
algorithms on massively parallel machines and networks of workstations
under various programming environments.
Information based complexity is a study of optimal algorithms for
problems which are approximately solved, because of partial or
contaminated information. Optimal algorithms for solving nonlinear
problems are of special interest to Professor Sikorski.
Recent Awards
First Prize of the Secretary of National Education (Poland) for the
research leading to the publication of the monograph: Selected Topics
in Approximation and Computation, joint with M. Kowalski and F. Stenger,
Oxford Press, 1996.
Selected Publications
RESEARCH MONOGRAPHS:
- Selected Topics in Approximation and Computation, joint with M. Kowalski
and F. Stenger, Oxford University Press, 1995, 360p, ISBN 0-19-508059-9.
- Optimal Solution of Nonlinear Equations, Oxford Press, 2000, 250p.
PAPERS:
- Approximating Fixed Points of Mildly Contractive Functions,
with L. Khachiyan and Z. Huang, J.Complexity, June, 1999.
- A Quasi- Monte Carlo Approach to Efficient 3D Migration,
with G. Schuster, and Y. Sun, Geophysics, Vol. 62, No. 3, 1997, pp. 918-929.
- A Note on a Linear Time Algorithm for Constructing Adjacency
Graphs in FEM Data, with S.K. Ueng, The Visual Computer, Vol. 12, No. 9,
Dec. 1996, pp. 445-450.
- Efficient Construction of Streamlines, Streamribbons and Streamtubes on
Unstructured Grids, with S.K. Ueng and K.L. Ma, IEEE Transactions
on Visualization and Graphics, Vol. 2, No. 2, June, 1996, pp. 100-109.
- Distributed Combustion Simulations, with. P.Smith, B. Adams and K-L. Ma, Energy and Fuels, Dec. 1993
- An Ellipsoid Algorithm for the Computation of Fixed Points, with Ch-W. Tsay,
and H.Wozniakowski, Journal of Complexity No. 9, March, 1993, pp. 181-200.
- Complexity of Fixed Points, with H.Wozniakowski, Journal of Complexity, No. 3, Dec. 1987, pp. 388-405.