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Svetov, Ivan Evgen'evich
Statistics Math-Net.Ru
Total publications: 21
Scientific articles: 20

Number of views:
This page:1182
Abstract pages:4315
Full texts:1355
References:674
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https://www.mathnet.ru/eng/person42362
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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  mathnet; 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  mathnet; J. Appl. Industr. Math., 17:1 (2023), 199–212 2
2020
3. 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  mathnet  isi  scopus 1
4. I. E. Svetov, “The method of approximate inverse for the Radon transform operator acting on functions and for the normal Radon transform operators acting on vector and symmetric $2$-tensor fields in $\mathbb{R}^3$”, Sib. Èlektron. Mat. Izv., 17 (2020),  1073–1087  mathnet 3
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  mathnet  elib; J. Appl. Industr. Math., 13:1 (2019), 157–167  scopus 5
2018
6. E. Yu. Derevtsov, S. V. Maltseva, I. E. Svetov, “Determination of discontinuities of a function in a domain with refraction from its attenuated ray transform”, Sib. Zh. Ind. Mat., 21:4 (2018),  51–74  mathnet  elib; J. Appl. Industr. Math., 12:4 (2018), 619–641  elib  scopus 9
2016
7. 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  mathnet 2
8. 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  mathnet 2
2015
9. E. Yu. Derevtsov, S. V. Mal'tseva, I. E. Svetov, “Mathematical models and algorithms for reconstruction of singular support of functions and vector fields by tomographic data”, Eurasian Journal of Mathematical and Computer Applications, 3:4 (2015),  4–44  mathnet
10. E. Yu. Derevtsov, I. E. Svetov, “Tomography of tensor fields in the plane”, Eurasian Journal of Mathematical and Computer Applications, 3:2 (2015),  25–69  mathnet
11. 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  mathnet 5
12. I. E. Svetov, “Inversion formulas for recovering the harmonic 2D-vector field by known ray transforms”, Sib. Èlektron. Mat. Izv., 12 (2015),  436–446  mathnet 4
13. 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  mathnet  mathscinet  elib; J. Appl. Industr. Math., 9:4 (2015), 547–558 11
2014
14. E. Yu. Derevtsov, S. V. Maltseva, I. E. Svetov, “A numerical inversion of the ray transform operator in refraction tomography”, Sib. Èlektron. Mat. Izv., 11 (2014),  833–856  mathnet 2
15. E. Yu. Derevtsov, S. V. Maltseva, I. E. Svetov, “Approximate recovery of a function given in a domain with low refraction from the ray integrals of the function”, Sib. Zh. Ind. Mat., 17:4 (2014),  48–59  mathnet  mathscinet; J. Appl. Industr. Math., 9:1 (2015), 36–46 3
2013
16. I. E. Svetov, “Properties of the ray transforms of two-dimensional $2$-tensor fields given in the unit disk”, Sib. Zh. Ind. Mat., 16:4 (2013),  121–130  mathnet  mathscinet; J. Appl. Industr. Math., 8:1 (2014), 106–114 4
2012
17. I. E. Svetov, “Reconstruction of solenoidal part of a three-dimensional vector field by its ray transforms along straight lines, parallel to the coordinate planes”, Sib. Zh. Vychisl. Mat., 15:3 (2012),  329–344  mathnet  elib; Num. Anal. Appl., 5:3 (2012), 271–283  scopus 12
2010
18. I. E. Svetov, “Reconstruction of solenoidal $2$-tensor fields, given in a unit disk, in their longitudinal ray transforms”, Sib. Èlektron. Mat. Izv., 7 (2010),  139–149  mathnet 1
19. 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  mathnet; Num. Anal. Appl., 3:2 (2010), 151–164  scopus 11
2008
20. E. Yu. Derevtsov, I. E. Svetov, Yu. S. Volkov, “Использование $B$-сплайнов в задаче эмиссионной $2D$-томографии в рефрагирующей среде”, Sib. Zh. Ind. Mat., 11:3 (2008),  45–60  mathnet  mathscinet 11
2013
21. 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  mathnet 9

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