**Teresa Regińska**(Professor)

email

pok. 111, tel.: 22 5228 121

**Przemysław Zieliński**

email

- 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).

- 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