Teresa Regińska, professorInstitute of Mathematics, Polish Academy of Sciences Śniadeckich 8, 00-656 Warsaw, Poland phone (office): +48 22 52 28 112 |

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

numerical analysis in abstract spaces, numerical methods for
differential equations,

ill-posed problems, inverse problems for differential equations,

regularization methods, choice rules for regularization parameters.

*Sideways heat equation and wavelets*, Journal of Computational and Applied Mathematics, vol.63 (1995), 209–214.*A regularization parameter in discrete ill-posed problems*, SIAM J. Sci. Comput. vol.17, No.3 (1996), 740–749.- (with L. Eldén)
*Solving the sideways heat equation by a wavelet-Galerkin method*, Inverse Problems 13 (1997), 1093–1106. - (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. - (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 *Application of wavelet shrinkage to solving sideways heat equation*, BIT 41, no 5 (2001), 1101–1110.*Regularization of discrete ill-posed problems*, BIT Numerical Mathematics 44 (2004), 119–133.- (with A. Wakulicz)
*Wavelet moment method for Cauchy problem for the Helmholtz equation*, Journal of Comp. and Appl. Math. 223 (2009), 218–229, - (with K.Regiński)
*Approximate solution of a Cauchy problem for the Helmholtz equation*, Inverse Problems 22 (2006), 975–989. - (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 - (with U. Tautenhahn)
*Conditional stability estimates and regularization with applications to Cauchy problems for the Helmholtz equation*, Numerical Functional Analysis and Optimization, 30 (2009), 1065-1097. *Two-parameter discrepancy principle for combined projection and Tikhonov regularization of ill-posed problems*, J. Inverse Ill-Posed Probl. 21 (2013) 561-577- (with K. Regiński)
*Regularization strategy for determining laser beam quality parameters*, J. Inverse Ill-Posed Probl. 23 (2015), 657-671. *Discrepancy sets for combined LSQ projection and Tikhonov regularization*, MMA 22 (2017) 202-212- (with K. Regiński)
*Modification of Iterative Tikhonov Regularization Motivated by a Problem of Identification of Laser Beam Quality Parameters*, Birkhaeuser series Trends in Mathematics: "New Trends in Parameter Identification for Mathematical Models", Hofmann, B., Leitao, A., Zubelli, J. P. (Eds.), Birkhäuser, (2018), 245--259