Professor, School of Computing
Ph.D., University of Utah, 1982
Professor Sikorski's current research interests are in the
areas of distributed parallel scientific computation and computational
complexity with emphasis on information based complexity. Of specific interest
are applied problems in geophysics (3-D modeling of earthquakes), combustion
(fluid mechanics), and electromagnetic wave propagation (Maxwell equations).
Various parallel explicit and implicit algorithms are being studied and
implemented on massively parallel machines. Information based complexity is a
study of optimal algorithms for problems which are approximately solved,
because of partial and contaminated information. Optimal algorithms for
solving nonlinear problems with use of various error criteria are of special
interest to Professor Sikorski.
- Sikorski, K., Tsay, C., and Wozniakowski, H.,
An Ellipsoid Algorithm for the Computation of Fixed Points,
Journal of Complexity, March, 1993.
- Sikorski, K., Schuster, J., and Tsay, C.,
3-Dimensional Modeling of Acoustic and Elastic Wave Propagation on
Parallel Computers,
Transputer Research and Applications 1, IOS Press, 1990.
- Sikorski, K., and Wozniakowski, H.,
Complexity of Fixed Points I,
Journal of Complexity, December, 1987.
- Boult, T., and Sikorski, K.,
Complexity of Computing Topological Degree of Lipschitz Functions in
N-Dimensions,
Journal of Complexity, Vol. 2, pp. 44-59, 1986.
- Sikorski, K., and Wozniakowski, H.,
For Which Error Criteria Can We Solve Nonlinear Equations,
Journal of Complexity, 1986.