Teresa Regińska, professor Deputy Director Institute of Mathematics, Polish Academy of Sciences email Śniadeckich 8, 00-956 Warsaw, Poland phone (office): +48 22 52 28 100

Head of Laboratory of Numerical Analysis

Numerical Analysis Seminar

Wykłady 2013

Fields of interest:

numerical analysis in abstract spaces, numerical methods for differential equations,
spectral approximation, eigenvalue localization,
ill posed problems, inverse problems for differential equations,
regularization methods, choice rules for regularization parameters, wavelets application

Selected publications:

1. Sideways heat equation and wavelets, Journal of Computational and Applied Mathematics, vol.63 (1995), 209–214. MathSciNet
2. A regularization parameter in discrete ill-posed problems, SIAM J. Sci. Comput. vol.17, No.3 (1996), 740–749. MathSciNet
3. (with L. Eldén) Solving the sideways heat equation by a wavelet-Galerkin method, Inverse Problems 13 (1997), 1093–1106. MathSciNet
4. (with L. Eldén and F. Berntsson) Wavelet and Fourier methods for solving the sideways heat equation, SIAM J. Sci. Comput. 21, No.6 (2000), 2187–2205. MathSciNet
5. (with L. Eldén) Stability and convergence of wavelet-Galerkin method for sideways heat equation, J. Inverse and Ill-Posed Problems 8, no.1 (2000), 31–49 MathSciNet
6. Application of wavelet shrinkage to solving sideways heat equation, BIT 41, no 5 (2001), 1101–1110. MathSciNet
7. 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.
8. Regularization of discrete ill-posed problems, BIT Numerical Mathematics 44 (2004), 119–133. MathSciNet
9. (with A. Wakulicz) Wavelet moment method for Cauchy problem for the Helmholtz equation, Journal of Comp. and Appl. Math. 223 (2009), 218–229, , .
   (extended abstract - Proceedings of Waves2007, University of Reading, (2007) 437-439)
10. (with K.Regiński) Approximate solution of a Cauchy problem for the Helmholtz equation, Inverse Problems 22 (2006), 975–989. MathSciNet
11. (with W. Arendt) An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domain, Journal of Inverse and Ill-Posed Problems 17 (2009) 703-711
12. (with U. Tautenhahn) Conditional stability estimates and regularization with applications to Cauchy problems for the Helmholtz equation, Numerical Functional Analysis and Optimization, 30 (2009), 1965-1097.