Polyakova Anna Petrovna

Publications in Math-Net.Ru

1. Numerical reconstruction of a two-dimensional vector field from momentum ray transforms
   
   Sib. Zh. Ind. Mat., 27:4 (2024),  113–129
2. Reconstruction of three-dimensional vector fields based on values of normal, longitudinal, and weighted Radon transforms
   
   Sib. Zh. Ind. Mat., 26:4 (2023),  125–142
3. Decomposition of symmetric tensor fields in $\mathbb{R}^3$
   
   Sib. Zh. Ind. Mat., 26:1 (2023),  161–178
4. Singular value decomposition of a normal Radon transform operator acting on 3D symmetric 2-tensor fields
   
   Sib. Èlektron. Mat. Izv., 18:2 (2021),  1572–1595
5. Reconstruction of a function and its singular support in a cylinder by tomographic data
   
   Eurasian Journal of Mathematical and Computer Applications, 8:2 (2020),  86–97
6. The method of approximate inverse for ray transform operators on two-dimensional symmetric $m$-tensor fields
   
   Sib. Zh. Ind. Mat., 22:1 (2019),  104–115
7. Approximate inversion of operators of two-dimensional vector tomography
   
   Sib. Èlektron. Mat. Izv., 13 (2016),  607–623
8. Numerical solution of reconstruction problem of a potential symmetric 2-tensor field in a ball from its normal Radon transform
   
   Sib. Èlektron. Mat. Izv., 13 (2016),  154–174
9. Approximate solution of two-dimensional 2-tensor tomography problem using truncated singular value decomposition
   
   Sib. Èlektron. Mat. Izv., 12 (2015),  480–499
10. Numerical solution of reconstruction problem of a potential vector field in a ball from its normal Radon transform
    
    Sib. Zh. Ind. Mat., 18:3 (2015),  63–75
11. Reconstruction of vector field which given in ball by its known the normal Radon transform
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:4 (2013),  119–142
12. An Application of the SVD-Method to the Problem of Integral Geometry of 2-Tensor Fields
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:3 (2012),  73–94
13. About obtaining of analytical expressions for the images of $B$-splines for the Radon's transform and use of its in problems of scalar tomography
    
    Sib. Èlektron. Mat. Izv., 7 (2010),  248–257
14. Reconstruction of 2-tensor fields, given in a unit circle, by their ray transforms based on LSM with $B$-splines
    
    Sib. Zh. Vychisl. Mat., 13:2 (2010),  183–199


15. Comparison of two algorithms for the numerical solution of the two-dimensional vector tomography
    
    Sib. Èlektron. Mat. Izv., 10 (2013),  90–108