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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova

Trudy Mat. Inst. Steklova, 1999, Volume 225, Pages 301–318 (Mi tm728)

Approximate Inverse Quantum Scattering at Fixed Energy in Dimension 2
R. G. Novikov

This publication is cited in the following articles:
  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  crossref  isi
  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  crossref  isi
  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  crossref  isi
  4. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  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  crossref  mathscinet  zmath  isi  scopus  scopus
  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  crossref  mathscinet  zmath  isi  scopus  scopus
  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  crossref  mathscinet  zmath  isi  elib  scopus  scopus
  8. Novikov R.G., “Formulas For Phase Recovering From Phaseless Scattering Data At Fixed Frequency”, Bull. Sci. Math., 139:8 (2015), 923–936  crossref  mathscinet  zmath  isi  elib  scopus  scopus
  9. Agaltsov A.D., Novikov R.G., “Riemann–Hilbert Problem Approach For Two-Dimensional Flow Inverse Scattering”, J. Math. Phys., 55:10 (2014), 103502  crossref  mathscinet  zmath  isi  elib  scopus  scopus
  10. 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  mathnet  crossref  mathscinet  zmath  isi  elib
  11. Grinevich P.G., Novikov R.G., “Faddeev eigenfunctions for point potentials in two dimensions”, Phys Lett A, 376:12–13 (2012), 1102–1106  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
  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  crossref  mathscinet  zmath  isi  scopus  scopus
  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  crossref  adsnasa  isi  elib  scopus  scopus
  14. Novikov R.G., “The partial derivative–approach to monochromatic inverse scattering in three dimensions”, Journal of Geometric Analysis, 18:2 (2008), 612–631  crossref  mathscinet  zmath  isi  scopus
  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  crossref  mathscinet  zmath  isi  elib
  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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus


© Steklov Math. Inst. of RAS, 2026