dr Piotr Krzyzanowski

Odwiedz moja (bardziej rozbudowana) strone po polsku!

Research interests

• numerical algorithms for PDEs
• parallel scientific computing
• domain decomposition methods
• fluid dynamics: mathematical theory and numerical algorithms

Publications

• P. Krzy¿anowski, Obliczenia in¿ynierskie i naukowe. Skuteczne, szybkie, efektowne, Wydawnictwo Naukowe PWN, 2011. Zobacz te¿ stronê http://www.mimuw.edu.pl/~przykry/obliczenia.
• P. Krzyzanowski, On block preconditioners for saddle point problems with singular or indefinite (1, 1) block, Numerical Linear Algebra with Applications, online, (2010).
• P. Krzyzanowski, Ph. Laurençot, D. Wrzosek, Mathematical Models of Receptor-Mediated Transport of Morphogens, M3AS, vol. 20 (11) pp. 2021-2052 (2010).
• P. Krzyzanowski, On Preconditioners for Generalized Saddle Point Problems with an Indefinite Block, Proceedings of the 18th International Symposium on Domain Decomposition Methods, Lecture Notes in Computational Science and Engineering, Vol. 70, Bercovier, M.; Gander, M.J.; Kornhuber, R.; Widlund, O. (Eds.), Springer, 2009.
• P. Krzyzanowski, Ph. Laurençot, D. Wrzosek, Well-posedness and convergence to the steady state for a model of morphogen transport, SIAM J. Math. Anal. 40 (2008).
• Anna Gambin, Piotr Krzyzanowski, and Piotr Pokarowski, Aggregation Algorithms for Perturbed Markov Chains with Applications to Networks Modeling SIAM J. Sci. Comput. Volume 31, Issue 1, pp. 45-73 (2008)
• P. Krzyzanowski, D. Wrzosek, D. Wit, Discontinuous Galerkin method for piecewise regular solutions to the nonlinear age-structured population model , Mathematical Biosciences, 2006
• P. Krzyzanowski, Domain Decomposition for Discontinuous Galerkin Method with Application to Stokes Flow , Proceedings of the 15th International Symposium on Domain Decomposition Methods, DDM.org, 2004
• P. Krzyzanowski, A class of block smoothers for multigrid solution of saddle point problems with application to fluid flow , in: Parallel Processing and Applied Mathematics, Lecture Notes in Computer Science 3019, 2003
• P. Bjørstad, P. Krzyzanowski, Flexible 2-level Neumann-Neumann method for structural analysis problems , in: Proceedings of the 4th International Conference on Parallel Processing and Applied Mathematics, Lecture Notes in Computer Science 2328, 2002
• P. Krzyzanowski, On Block Preconditioners for Nonsymmetric Saddle Point Problems, SIAM J. Sci. Comp., vol. 23 (2001), 1, 157--169.
• P. Bjørstad, J. Koster, P. Krzyzanowski, Domain Decomposition Solvers for Large Scale Industrial Finite Element Problems, in: Applied Parallel Computing. New Paradigms for HPC in Industry and Academia, Lecture Notes in Computer Science 1947, Springer-Verlag, 2001.
• P. Krzyzanowski, Block preconditioners for nonsymmetric saddle point problems, Proceedings of the 11th International Symposium on Domain Decomposition Methods, DDM.org, 1999.
• P. Krzyzanowski, Mathematical and numerical analysis of problems in microcontinuum mechanics, distinguished PhD thesis, Warsaw University, Poland, February 1998.
• M. Bójko i P. Krzyzanowski, Rozwiazywanie ukladow rownan liniowych i nieliniowych przy uzyciu pakietu PETSc (Solving systems of linear and nonlinear equations with PETSc; in Polish), Technical Report RW 98-06 (44), Institute of Applied Mathematics, Warsaw University, September 1998.
• P. Krzyzanowski, A domain decomposition method for micropolar fluids, Proceedings of the Ninth International Conference on Domain Decomposition Methods, DDM.org, 1998.
• P. Krzyzanowski, Mixed finite element method for micropolar equations, Technical Report RW 96-12, Institute of Applied Mathematics, Warsaw University, 1996.
• G. Lukaszewicz and P. Krzyzanowski, On the Heat Convection Equations with Dissipation Term in Regions with Moving Boundaries, Technical Report RW 95-08, Institute of Applied Mathematics, Warsaw University, 1995 (a revised and updated version appeared in Math. Meth. Appli. Sci., vol. 20 (1997), 4, 347--368).
• P. Krzyzanowski, Mixed finite element for stationary flow of a mixture with barodiffusion, Proceedings of IFIP Working Group WG 7.2 Conference on Modelling and Optimization of Distributed Parameter Systems with Applications to Engineering, Warsaw, July 1995, Chapman & Hall.
• P. Krzyzanowski, On Stationary Flow of Asymmetric Fluids with Diffusion, Math. Meth. Appli. Sci., vol. 17 (1994), 11, 837--854.