# Teresa Regińska

* Ph. D.: IM PAN 1975, habilitation: IM PAN 1987*

My research interest concerns numerical analysis in abstract spaces, spectral
approximation, eigenvalue localization and ill posed problems regularization.
Recently I am working on application of wavelets to construction of
regularized solutions of ill posed problems.

## Selected Publications:

* Sideways heat equation and wavelets*, Journal of
Computational and
Applied Mathematics, vol.63 pp. 209-214 (1995)
* A regularization parameter in discrete ill--posed
problems*, SIAM J. Sci. Comput.
vol.17, No.3, pp. 740- 749 (1996)
- (with
**L. Eldén**) * Numerical solution of the sideways
heat equation by a wavelet - Galerkin method*, Inverse Problems 13, pp.1093-1106 (1997)
- (with
**L. Eldén and F Berntsson**)* Wavelet and Fourier
methods for solving the sideways heat equation,*
SIAM J. Sci. Comput. Vol 21, No.6, pp. 2187-2205, (2000)
- (with
** L. Eldén**) * 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)
* 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.
* Regularization of discrete ill-posed problems,*
BIT Numerical Mathematics vol.44, pp. 119-133 (2004)
- (with
**A. Wakulicz**) * Wavelet moment method for Cauchy
problem for the Helmholtz equation* Preprint IMPAN 662, December
2005) (pdf file)
- (with
**K. Regiński**) * Approximate solution of a Cauchy
problem for the Helmholtz equation*,
Inverse Problems 22, pp. 975-989(2006), Preprint IMPAN 660 (pdf file)
- (with
**K. Regiński**) *
A Cauchy problem for the
Helmholtz equation: application to analysis of light propagation in
solids,*
Preprint: Berichtsreihe des Mathematischen Seminars,
Christian-Albrechts-Universität zu Kiel, 06-4 (2006)