myphoto Teresa Regińska, professor
Institute 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

Head of Laboratory of Numerical Analysis

Wykłady 2013

Fields of interest:

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.

Selected publications:

  1. Sideways heat equation and wavelets, Journal of Computational and Applied Mathematics, vol.63 (1995), 209–214.
  2. A regularization parameter in discrete ill-posed problems, SIAM J. Sci. Comput. vol.17, No.3 (1996), 740–749.
  3. (with L. Eldén) Solving the sideways heat equation by a wavelet-Galerkin method, Inverse Problems 13 (1997), 1093–1106.
  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.
  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
  6. Application of wavelet shrinkage to solving sideways heat equation, BIT 41, no 5 (2001), 1101–1110.
  7. Regularization of discrete ill-posed problems, BIT Numerical Mathematics 44 (2004), 119–133.
  8. (with A. Wakulicz) Wavelet moment method for Cauchy problem for the Helmholtz equation, Journal of Comp. and Appl. Math. 223 (2009), 218–229,
  9. (with K.Regiński) Approximate solution of a Cauchy problem for the Helmholtz equation, Inverse Problems 22 (2006), 975–989.
  10. (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
  11. (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.
  12. Two-parameter discrepancy principle for combined projection and Tikhonov regularization of ill-posed problems, J. Inverse Ill-Posed Probl. 21 (2013) 561-577
  13. Regularization methods for a mathematical model of laser beams, EJMCA, 1, Issue 2, (2014), 39-49.

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