Laboratory of Numerical Analysis
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