Приближенное решение обратной задачи квантовой теории рассеяния при фиксированной энергии в размерности 2
Р. Г. Новиков

Эта публикация цитируется в следующих статьяx:

1. Dmitriev V K., Rumyantseva O.D., “Features of Solving the Direct and Inverse Scattering Problems For Two Sets of Monopole Scatterers”, J. Inverse Ill-Posed Probl., 29:5 (2021), 775–789    
2. Rumyantseva O.D., Shurup A.S., Zotov I D., “Possibilities For Separation of Scalar and Vector Characteristics of Acoustic Scatterer in Tomographic Polychromatic Regime”, J. Inverse Ill-Posed Probl., 29:3 (2021), 407–420    
3. Dmitriev K.V., Rumyantseva O.D., “Features of the Solution of Direct and Inverse Scattering Problems For Inhomogeneities With a Small Wave Size”, Dokl. Phys., 65:9 (2020), 301–307    
4. А. Д. Агальцов, Р. Г. Новиков, “Примеры решения обратной задачи рассеяния и уравнений иерархии Веселова–Новикова по данным рассеяния точечных потенциалов”, УМН, 74:3(447) (2019), 3–16            ; A. D. Agaltsov, R. G. Novikov, “Examples of solution of the inverse scattering problem and the equations of the Novikov–Veselov hierarchy from the scattering data of point potentials”, Russian Math. Surveys, 74:3 (2019), 373–386    
5. de Hoop M.V., Lassas M., Santacesaria M., Siltanen S., Tamminen J.P., “Positive-energy D-bar method for acoustic tomography: a computational study”, Inverse Probl., 32:2 (2016), 025003            
6. Barcelo J.A., Castro C., Reyes J.M., “Numerical approximation of the potential in the two-dimesional inverse scattering problem”, Inverse Probl., 32:1 (2016), 015006            
7. Santacesaria M., “a Holder-Logarithmic Stability Estimate For An Inverse Problem in Two Dimensions”, J. Inverse Ill-Posed Probl., 23:1 (2015), 51–73              
8. Novikov R.G., “Formulas For Phase Recovering From Phaseless Scattering Data At Fixed Frequency”, Bull. Sci. Math., 139:8 (2015), 923–936              
9. Agaltsov A.D., Novikov R.G., “Riemann–Hilbert Problem Approach For Two-Dimensional Flow Inverse Scattering”, J. Math. Phys., 55:10 (2014), 103502              
10. М. И. Исаев, Р. Г. Новиков, “Оценки устойчивости для восстановления потенциала по импедансному граничному оператору”, Алгебра и анализ, 25:1 (2013), 37–63        ; M. I. Isaev, R. G. Novikov, “Stability estimates for recovering the potential by the impedance boundary map”, St. Petersburg Math. J., 25:1 (2014), 23–41    
11. Grinevich P.G., Novikov R.G., “Faddeev eigenfunctions for point potentials in two dimensions”, Phys Lett A, 376:12–13 (2012), 1102–1106                
12. Beilina L., Klibanov M.V., “The philosophy of the approximate global convergence for multidimensional coefficient inverse problems”, Complex Variables and Elliptic Equations, 57:2–4 (2012), 277–299            
13. Burov V.A., Alekseenko N.V., Rumyantseva O.D., “Multifrequency generalization of the Novikov algorithm for the two–dimensional inverse scattering problem”, Acoustical Physics, 55:6 (2009), 843–856            
14. Novikov R.G., “The partial derivative–approach to monochromatic inverse scattering in three dimensions”, Journal of Geometric Analysis, 18:2 (2008), 612–631          
15. Novikov R.G., “The partial derivative–approachto approximate inverse scattering at fixed energy in three dimensions”, International Mathematics Research Papers, 2005, no. 6, 287–349          
16. Novikov R.G., “Formulae and equations for finding scattering data from the Dirichlet–to–Neumann map with nonzero background potential”, Inverse Problems, 21:1 (2005), 257–270