Laboratory of Numerical Analysis
- Przemysław Zieliński
About the Laboratory
analysis of spectral problems (Pokrzywa, Regińska)
analysis of methods for solving partial differential equations
of wavelets to problems of numerical analysis (Deriaz, Pokrzywa,
ill-posed problems (Regińska)
problems for partial differential equation and regularization
methods (Regińska, Wakulicz, Deriaz)
seminar organized by the Laboratory covers a wide scope of numerics
and attracts attention of mathematicians from other institutes.
laboratory also organized at the Banach Center mini-schools, directed
especially towards young researchers:
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
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,
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)
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)
Regińska, Application of wavelet shrinkage to solving sideways
heat equation, BIT vol.41, no 5, pp. 1101-1110 (2001)
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.
Regińska, Regularization of discrete ill-posed problems, BIT
Numerical Mathematics vol.44, pp. 119-133 (2004)
Grzesikiewicz, A. Wakulicz, Axiomatic formulation of thermodynamics
ideal gas laws, KONES Journal of Powertrian and Transport vol .13.
no. 103-110 (2006)
Regińska, K. Regiński, Approximate solution of a Cauchy
problem for the Helmholtz equation,
Problems 22, pp. 975-989 (2006)
Deriaz, Valérie Perrier "Direct Numerical Simulation
of turbulence using divergence-free wavelets",Preprint IMPAN nr
684, June 2007, SIAM Multiscale Modeling & Simulation, in print
Regińska, A. Wakulicz, Wavelet moment method for Cauchy problem
for the Helmholtz equation, Journal of Comp. and Appl. Math, (2008),
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