Laboratory of Numerical Analysis
Head:
- Teresa Regińska (Associate Professor)
email
pok. 509, tel.: 022 5228 122
Staff:
- Andrzej Pokrzywa (Associate Professor)
email
pok. 509, pok 305, tel.: 022 5228 178, 022 5228 135 - Andrzej Wakulicz (Assistant Professor)
email
pok. 509, tel.: 022 5228 178 - Iwona Wróbel (Assistant Professor)
(Jan.2007 - Sep.2010)
email
About the Laboratory
Research activities:
- Numerical analysis of spectral problems (Pokrzywa, Regińska)
- Numerical analysis of methods for solving partial differential equations (Wakulicz, Deriaz)
- Applications of wavelets to problems of numerical analysis (Deriaz, Pokrzywa, Regińska, Wakulicz)
- Discrete ill-posed problems (Regińska)
- Inverse problems for partial differential equation and regularization methods (Regińska, Wakulicz, Deriaz)
A seminar organized by the Laboratory covers a wide scope of numerics and attracts attention of mathematicians from other institutes.
The laboratory also organized at the Banach Center mini-schools, directed especially towards young researchers: Regularization methods for ill-posed problems of analysis and statistics – lectures of S. Pereverzyev, (15-25 May 2007); Course on inverse and ill-posed problems – lectures of Andreas Neubauer (26-29 March 2008).
Selected publications:
- S. Piszczatowski, K. Skalski, G. Sugocki and A. Wakulicz, Finite element method formulation for the interactions between various elastic-viscoelastic structures in biomechanical model, in: Computer Methods in Biomechanics & Biomedical Engineering-2, J. Middleton, M. L. Jones and G. N. Pande (eds.), Gordon and Breach, (1998), 313-320.
- L. Eldén F Berntsson, T. Regińska, Wavelet and Fourier methods for solving the sideways heat equation, SIAM J. Sci. Comput. Vol 21, No.6, pp. 2187-2205, (2000)
- T.Regińska, L.E ldén, Stability and convergence of wavelet-Galerkin method for sideways heat equation, J. Inverse and Ill-Posed Problems, vol. 8, no.1, pp. 31-49 (2000)
- T. Regińska, Application of wavelet shrinkage to solving sideways heat equation, BIT vol.41, no 5, pp. 1101-1110 (2001)
- T.Regińska, Regularization parameters choosing for discrete ill-posed problems, in "Inverse Problems in Engineering Mechanics IV" (Proceedings of the International Symposium on ISIP2003) M.Tanaka (ed.), Elsevier 2003, pp. 457-464.
- T. Regińska, Regularization of discrete ill-posed problems, BIT Numerical Mathematics vol.44, pp. 119-133 (2004)
- W. Grzesikiewicz, A. Wakulicz, Axiomatic formulation of thermodynamics ideal gas laws, KONES Journal of Powertrian and Transport vol .13. no. 103-110 (2006)
- T. Regińska, K. Regiński, Approximate solution of a Cauchy problem for the Helmholtz equation, Inverse Problems 22, pp. 975-989 (2006)
- Erwin Deriaz, Valérie Perrier "Direct Numerical Simulation of turbulence using divergence-free wavelets",Preprint IMPAN nr 684, June 2007, SIAM Multiscale Modeling & Simulation, in print
- T. Regińska, A. Wakulicz, Wavelet moment method for Cauchy problem for the Helmholtz equation, Journal of Comp. and Appl. Math, (2008), doi:10.1016/j.cam.2008.01.005.
- W. Arendt, T. Regińska, An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domain, Ulmer Seminare 2007, Journal of Inverse and Ill-Posed Problems, in print
