федеральное государственное автономное образовательное учреждение высшего образования
«Самарский национальный исследовательский университет имени академика С.П. Королева»

Kitaeva, Elena V.

  • Department of Differential Equations and Control Theory, associate professor
2022
  • 1 Blatov I., Kitaeva E., Zadorin N. Cubic Spline on a Bakhvalov Mesh in the Presence of a Boundary Layer // Lecture Notes in Computational Science and Engineering. — 2022. — Vol. 141. — P. 39-55
  • 2 Likhttsinder B.Y., Blatov I.A., Kitaeva E.V. On Estimates of the Mean Queue Length for Single-Channel Queuing Systems in Terms of Statistical Unconditional Second-Order Moments of the Modified Arrival Flow // Automation and Remote Control 2022. — Vol. 83. Issue 1. — P. 92-105
  • 3 Likhttsinder B., Kitaeva E.V., Privalov A. Queue Analysis for Video Traffic Using the Generalized Interval Method // 2022 8th International Conference on Information Technology and Nanotechnology, ITNT 2022. — 2022. —
2021
  • 1 Blatov I.A., Dobrobog N.V., Kitaeva E.V. The cubic interpolation spline for functions with boundary layer on a Bakhvalov mesh // Journal of Physics: Conference Series. — 2021. — Vol. 1715. Issue 1.
  • 2 Blatov I.A., Zadorin A.I., Kitaeva E.V. Application of Cubic Splines on Bakhvalov Meshes in the Case of a Boundary Layer // Computational Mathematics and Mathematical Physics 2021. — Vol. 61. Issue 12. — P. 1911-1930
2020
  • 1 Blatov I.A., Dobrobog N.V., Kitaeva E.V. The development of V. V. Strygin's ideas in numerical mathematics in the works of Samara mathematicians // Journal of Physics: Conference Series. — 2020. — Vol. 1479. Issue 1.
  • 2 Blatov I., Likhttsinder B., Kitaeva E. On Estimates of Average Queue Length for Queueing Systems in the Case of Correlated Input Flow // Proceedings of ITNT 2020 - 6th IEEE International Conference on Information Technology and Nanotechnology. — 2020. —
  • 3 Blatov I.A., Zadorin A.I., Kitaeva E.V. Generalized Spline Interpolation of Functions with Large Gradients in Boundary Layers // Computational Mathematics and Mathematical Physics 2020. — Vol. 60. Issue 3. — P. 411-426
2019
  • 1 Blatov I.A., Kitaeva E.V., Shevchenkob A.P. etc. A universal algorithm for finding the shortest distance between systems of points // Acta Crystallographica Section A: Foundations and Advances 2019. — Vol. 75. — P. 827-832
  • 2 Blatov I.A., Zadorin A.I., Kitaeva E.V. An application of the cubic spline on Shishkin mesh for the approximation of a function and its derivatives in the presence of a boundary layer // Journal of Physics: Conference Series. — 2019. — Vol. 1210. Issue 1.
  • 3 Blatov I.A., Zadorin A.I., Kitaeva E.V. Approximation of a Function and Its Derivatives on the Basis of Cubic Spline Interpolation in the Presence of a Boundary Layer // Computational Mathematics and Mathematical Physics 2019. — Vol. 59. Issue 3. — P. 343-354
2018
  • 1 Blatov I.A., Zadorin A.I., Kitaeva E.V. An application of the exponential spline for the approximation of a function and its derivatives in the presence of a boundary layer // Journal of Physics: Conference Series. — 2018. — Vol. 1050. Issue 1.
  • 2 Blatov I.A., Zadorin A.I., Kitaeva E.V. On the Parameter-Uniform Convergence of Exponential Spline Interpolation in the Presence of a Boundary Layer // Computational Mathematics and Mathematical Physics 2018. — Vol. 58. Issue 3. — P. 348-363
  • 3 Blatov I.A., Kitaeva E.V. Convergence of Mesh Adaptive Algorithms for Elliptic Singularly Perturbed Boundary Value Problems with Exponential Boundary Layer // Journal of Physics: Conference Series. — 2018. — Vol. 1096. Issue 1.
2017
  • 1 Blatov I.A., Zadorin A.I., Kitaeva E.V. Parabolic spline interpolation for functions with large gradient in the boundary layer // Siberian Mathematical Journal 2017. — Vol. 58. Issue 4. — P. 578-590
  • 2 Kitaeva E.V., Blatov I.A. ON INTERPOLATION OF FUNCTIONS WITH A BOUNDARY LAYER BY PARABOLIC SPLINES // ИНФОРМАЦИОННЫЕ ТЕХНОЛОГИИ И НАНОТЕХНОЛОГИИ (ИТНТ-2017) . — 2017. — P. 1263-1266
  • 3 Blatov I.A., Kitaeva E.V. On the parabolic spline-interpolation of functions with a boundary layer // Procedia Engineering. — 2017. — Vol. 201. — P. 584-592
  • 4 Blatov I.A., Zadorin A.I., Kitaeva E.V. Cubic spline interpolation of functions with high gradients in boundary layers // Computational Mathematics and Mathematical Physics 2017. — Vol. 57. Issue 1. — P. 7-25
  • 5 Shevchenko A.P., Blatov I.A., Kitaeva E.V. etc. Local coordination versus overall topology in crystal structures: Deriving knowledge from crystallographic databases // Crystal Growth and Design 2017. — Vol. 17. Issue 2. — P. 774-785
  • 6 Blatov I.A., Zadorin A.I., Kitaeva E.V. On the uniform convergence of parabolic spline interpolation on the class of functions with large gradients in the boundary layer // Numerical Analysis and Applications 2017. — Vol. 10. Issue 2. — P. 108-119
2016
  • 1 Blatov I.A., Dobrobog N.V., Kitaeva E.V. Conditional ε-uniform boundedness of Galerkin projectors and convergence of an adaptive mesh method as applied to singularly perturbed boundary value problems // Computational Mathematics and Mathematical Physics 2016. — Vol. 56. Issue 7. — P. 1293-1304
  • 2 Blatov I.A., Kitaeva E.V. Convergence of a Bakhvalov grid adaptation method for singularly perturbed boundary value problems // Numerical Analysis and Applications 2016. — Vol. 9. Issue 1. — P. 34-44
  • 3 Blatov I.A., Dobrobog N.V., Kitaeva E.V. Conditional ε-uniform boundedness of Galerkin projectors and convergence of an adaptive mesh method as applied to singularly perturbed boundary value problems // Computational Mathematics and Mathematical Physics 2016. — № V. 56, № 7. — P. 1293-1304
  • 4 Blatov I.A., Kitaeva E.V., Zadorin A.I. On interpolation of functions with a boundary layer by cubic splines // CEUR Workshop Proceedings. — 2016. — Vol. 1638. — P. 515-520
2005
  • 1 Kitaeva E.V., Sobolev V.A. Numerical determination of bounded solutions to discrete singularly perturbed equations and critical combustion regimes // Computational Mathematics and Mathematical Physics 2005. — Vol. 45. Issue 1. — P. 52-82
2003
  • 1 Blatov I.A., Kitaeva E.V. Combining incomplete factorization methods and the fast fourier transform in the solution of boundary value problems for the poisson equation in domains with curvilinear boundaries // Computational Mathematics and Mathematical Physics 2003. — Vol. 43. Issue 5. — P. 696-709