Svetov Ivan Evgen'evich

Publications in Math-Net.Ru

1. 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
2. Decomposition of symmetric tensor fields in $\mathbb{R}^3$
   
   Sib. Zh. Ind. Mat., 26:1 (2023),  161–178
3. 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
4. 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
5. 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
6. 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
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. 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
10. Tomography of tensor fields in the plane
    
    Eurasian Journal of Mathematical and Computer Applications, 3:2 (2015),  25–69
11. Approximate solution of two-dimensional 2-tensor tomography problem using truncated singular value decomposition
    
    Sib. Èlektron. Mat. Izv., 12 (2015),  480–499
12. Inversion formulas for recovering the harmonic 2D-vector field by known ray transforms
    
    Sib. Èlektron. Mat. Izv., 12 (2015),  436–446
13. 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
14. A numerical inversion of the ray transform operator in refraction tomography
    
    Sib. Èlektron. Mat. Izv., 11 (2014),  833–856
15. 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
16. 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
17. 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
18. Reconstruction of solenoidal $2$-tensor fields, given in a unit disk, in their longitudinal ray transforms
    
    Sib. Èlektron. Mat. Izv., 7 (2010),  139–149
19. 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
20. Использование $B$-сплайнов в задаче эмиссионной $2D$-томографии в рефрагирующей среде
    
    Sib. Zh. Ind. Mat., 11:3 (2008),  45–60


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