|
|
|
Publications in Math-Net.Ru |
Citations |
|
2023 |
| 1. |
I. E. Svetov, A. P. Polyakova, “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  ; J. Appl. Industr. Math., 17:4 (2023), 842–858 |
1
|
| 2. |
I. E. Svetov, A. P. Polyakova, “Decomposition of symmetric tensor fields in $\mathbb{R}^3$”, Sib. Zh. Ind. Mat., 26:1 (2023), 161–178 ; J. Appl. Industr. Math., 17:1 (2023), 199–212 |
2
|
|
2021 |
| 3. |
A. P. Polyakova, “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  |
2
|
|
2020 |
| 4. |
S. V. Mal'tseva, I. E. Svetov, A. P. Polyakova, “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  |
1
|
|
2019 |
| 5. |
I. E. Svetov, A. P. Polyakova, S. V. Maltseva, “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  ; J. Appl. Industr. Math., 13:1 (2019), 157–167 |
5
|
|
2016 |
| 6. |
I. E. Svetov, S. V. Maltseva, A. P. Polyakova, “Approximate inversion of operators of two-dimensional vector tomography”, Sib. Èlektron. Mat. Izv., 13 (2016), 607–623 |
2
|
| 7. |
A. P. Polyakova, I. E. Svetov, “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 |
2
|
|
2015 |
| 8. |
I. E. Svetov, A. P. Polyakova, “Approximate solution of two-dimensional 2-tensor tomography problem using truncated singular value decomposition”, Sib. Èlektron. Mat. Izv., 12 (2015), 480–499 |
5
|
| 9. |
A. P. Polyakova, I. E. Svetov, “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  ; J. Appl. Industr. Math., 9:4 (2015), 547–558 |
11
|
|
2013 |
| 10. |
A. P. Polyakova, “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 ; J. Math. Sci., 205:3 (2015), 418–439 |
13
|
|
2012 |
| 11. |
E. Yu. Derevtsov, A. P. Polyakova, “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 ; J. Math. Sci., 202:1 (2014), 50–71 |
13
|
|
2010 |
| 12. |
A. P. Polyakova, “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 |
2
|
| 13. |
I. E. Svetov, A. P. Polyakova, “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 ; Num. Anal. Appl., 3:2 (2010), 151–164 |
11
|
|
|
|
2013 |
| 14. |
I. E. Svetov, A. P. Polyakova, “Comparison of two algorithms for the numerical solution of the two-dimensional vector tomography”, Sib. Èlektron. Mat. Izv., 10 (2013), 90–108 |
9
|
|
| Organisations |
|
| |
|
|
Contact us: