Skip to main content Skip to search

Механико-математический факультет

Кафедра математической физики и вычислительной математики

Структура
Лаборатория вычислительных методов
История
История

Документы

ПОЛОЖЕНИЕ О КАФЕДРЕ
Описание является именем ссылки на файл. Если поле оставить пустым, будет отображено имя прикрепленного документа.
Название файла: document_1.docx
Для того что бы было понятно его содержание, укажите в описании. К примеру  "Отчет за 2011 год"
Иконка PDF ПОЛОЖЕНИЕ О КАФЕДРЕ

Вы здесь

Бондаренко
Наталья
Павловна

Старший научный сотрудник
Образование: 
Саратовский государственный университет имени Н.Г. Чернышевского, г. Саратов, 2010 г., Прикладная математика и информатика
Диссертации и учёные степени: 
Доктор физико-математических наук, Обратные задачи спектрального анализа для дифференциальных операторов, 2022 г.
Кандидат физико-математических наук (01.01.01), Обратная задача спектрального анализа для матричного оператора Штурма-Лиувилля, 2011 г.
Учёное звание: 
доцент, 2016 г.
Научные интересы: 
Теория обратных спектральных задач
Общий стаж: 
13 лет
Стаж по специальности: 
13 лет
Работа в университете: 
Старший научный сотрудник, кафедра математической физики и вычислительной математики, с 2016 по н.в.
Доцент, кафедра математической физики и вычислительной математики, с 2011 по 2016
Премии и награды: 
Research Excellence Award Russia
Премия президента по поддержке талантливой молодежи, 2010 г.
Первая премия конкурса Мёбиуса студенческих и аспирантских научных работ по математике, 2010 г.
Премия президента по поддержке талантливой молодежи, 2009 г.
Золотая и серебряная медали международного студенческого командного чемпионата мира по программированию ACM ICPC, 2010 г.
Золотая и серебряная медали международного студенческого командного чемпионата мира по программированию ACM ICPC, 2009 г.
Чемпион России по программированию (в составе команды Саратовского государственного университета), 2008 г.
Основные научные публикации: 
  1. Bondarenko N.P. Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition, Boletín de la Sociedad Matemática Mexicana 29 (2023), Article number: 2. (27 pp.) DOI: https://doi.org/10.1007/s40590-022-00476-x
  2. Xu X.-J., Yang C.-F., Bondarenko N. Inverse spectral problems for radial Schrodinger operators and closed systems, Journal of Differential Equations 342 (2023), 343-368. DOI: https://doi.org/10.1016/j.jde.2022.10.004
  3. Bondarenko N.P. Reconstruction of higher-order differential operators by their spectral data, Mathematics 10 (2022), no. 20, Article ID 3882 (32 pp.) DOI: https://doi.org/10.3390/math10203882
  4. Bondarenko N.P. Inverse spectral problems for functional-differential operators with involution, Journal of Differential Equations 318 (2022), 169-186. DOI: https://doi.org/10.1016/j.jde.2022.02.027
  5. Bondarenko N.P. Finite-difference approximation of the inverse Sturm-Liouville problem with frozen argument, Applied Mathematics and Computation 413 (2022), 126653 (13pp.) DOI: https://doi.org/10.1016/j.amc.2021.126653
  6. Xu X.-C., Bondarenko N.P. Stability of the inverse scattering problem for the self-adjoint matrix Schroedinger operator on the half line, Studies in Applied Mathematics 149 (2022), no. 3, 815-838. DOI: http://doi.org/10.1111/sapm.12522
  7. Xu X.-C., Bondarenko N.P. On the local solvability and stability for the inverse spectral problem of the generalized Dirichlet-Regge problem, Acta Mathematica Sinica, English Series 38 (2022), 1229-1240. DOI: https://doi.org/10.1007/s10114-022-1103-9
  8. Bondarenko N.P., Yurko V.A. A new approach to the inverse discrete transmission eigenvalue problem, Inverse Problems and Imaging 16 (2022), no. 4, 739-751. DOI: https://doi.org/10.3934/ipi.2021073
  9. Bondarenko N.P., Yurko V.A. Inverse problems of recovering first-order integro-differential operators from spectra, Applicable Analysis 101 (2022), no. 18, 6514-6521. DOI: https://doi.org/10.1080/00036811.2021.1932833
  10. Bondarenko N.P. Inverse spectral problems for arbitrary-order differential operators with distribution coefficients, Mathematics 9 (2021), no. 22, Article ID 2989. DOI: https://doi.org/10.3390/math9222989
  11. Bondarenko N.P., Gaidel A.V. Solvability and stability of the inverse problem for the quadratic differential pencil, Mathematics 9 (2021), no. 20, Article ID 2617. DOI: https://doi.org/10.3390/math9202617
  12. Bondarenko N.P. Inverse problem solution and spectral data characterization for the matrix Sturm-Liouville operator with singular potential, Analysis and Mathematical Physics 11 (2021), Article number: 145. DOI: https://doi.org/10.1007/s13324-021-00581-6
  13. Bondarenko N.P. A partial inverse Sturm-Liouville problem on an arbitrary graph, Mathematical Methods in the Applied Sciences 44 (2021), no. 8, 6896-6910. DOI: https://doi.org/10.1002/mma.7231
  14. Bondarenko N.P. Direct and inverse problems for the matrix Sturm-Liouville operator with general self-adjoint boundary conditions, Mathematical Notes 109 (2021), no. 3, 358-378. DOI: https://doi.org/10.1134/S0001434621030044
  15. Bondarenko N.P. Solving an inverse problem for the Sturm-Liouville operator with singular potential by Yurko's method, Tamkang Journal of Mathematics 52 (2021), no. 1, 125-154. DOI: https://doi.org/10.5556/j.tkjm.52.2021.3700
  16. Xu X.-J., Bondarenko N., Yang C.-F. Inverse spectral problems for Bessel operators with interior transmission conditions, Journal of Mathematical Analysis and Applications 504 (2021), no. 2, Article number: 125425. DOI: https://doi.org/10.1016/j.jmaa.2021.125435
  17. Zhang R., Yang C.-F., Bondarenko N.P. Inverse spectral problems for the Dirac operator with complex-valued weight and discontinuity, Journal of Differential Equations 278 (2021), 100-110. DOI: https://doi.org/10.1016/j.jde.2021.01.001
  18. Zhang R., Bondarenko N.P., Yang C.-F. Solvability of an inverse problem for discontinuous Sturm-Liouville operators, Mathematical Methods in the Applied Sciences 44 (2021), no. 1, 124-139. DOI: https://doi.org/10.1002/mma.6713
  19. Bondarenko N.P. Spectral data characterization for the Sturm-Liouville operator on the star-shaped graph, Analysis and Mathematical Physics 10 (2020), no. 4, Article number: 83.  DOI: https://doi.org/10.1007/s13324-020-00430-y
  20. Yang C.-F., Bondarenko N. Reconstruction and solvability for discontinuous Hochstadt-Lieberman problems, Journal of Spectral Theory 10 (2020), no. 4, 1445-1469.  DOI: https://doi.org/10.4171/JST/332
  21. Zhang R., Xu X.-C., Yang C.-F., Bondarenko N.P. Determination of the impulsive Sturm-Liouville operator from a set of eigenvalues, Journal of Inverse and Ill-Posed Problems 28 (2020), no. 3, 341-348. DOI: https://doi.org/10.1515/jiip-2019-0003
  22. Wang Y. P., Bondarenko N.P., Shieh C.-T. The inverse problem for differential pencils on a star-shaped graphs with mixed spectral data, SCIENCE CHINA Mathematics 63 (2020), no. 8, 1559-1570. DOI: https://doi.org/10.1007/s11425-018-9485-3
  23. Bondarenko N.P. Local solvability and stability of the inverse problem for the non-self-adjoint Sturm-Liouville operator, Boundary Value Problems 2020 (2020), Article number: 123, 1-13. DOI: https://doi.org/10.1186/s13661-020-01422-4
  24. Bondarenko N.P. Inverse Sturm-Liouville problem with analytical functions in the boundary condition, Open Mathematics 18 (2020), no. 1, 512-528.  DOI: https://doi.org/10.1515/math-2020-0188
  25. Guan S.-Y., Yang C.-F., Bondarenko N.P., Xu X.-C., Hu Y.-T. On the Hochstadt-Lieberman type problem with eigenparameter dependent boundary condition, Journal of Inverse and Ill-Posed Problems 28 (2020), no. 4, 557-565. DOI: https://doi.org/10.1515/jiip-2019-0072
  26. Bondarenko N.P., Shieh C.-T. Partial inverse problems for quadratic differential pencils on a graph with a loop, Journal of Inverse and Ill-Posed Problems 28 (2020), no. 3, 449-463. DOI: https://doi.org/10.1515/jiip-2018-0104
  27. Bondarenko N.P., Buterin S.A. Numerical solution and stability of the inverse spectral problem for a convolution integro-differential operator, Communications in Nonlinear Science and Numerical Simulation 89 (2020), 105298.  DOI: https://doi.org/10.1016/j.cnsns.2020.105298
  28. Bondarenko N.P. Solvability and stability of the inverse Sturm-Liouville problem with analytical functions in the boundary condition, Mathematical Methods in the Applied Sciences 43 (2020), no. 11, 7009-7021. DOI: https://doi.org/10.1002/mma.6451
  29. Bondarenko N.P. A partial inverse problem for the Dirac system with an integral delay, Inverse Problems in Science and Engineering 28 (2020), no. 4, 513-523. DOI: https://doi.org/10.1080/17415977.2019.1601719
  30. Bondarenko N.P. Constructive solution of the inverse spectral problem for the matrix Sturm-Liouville operator, Inverse Problems in Science and Engineering 28 (2020), no. 9, 1307-1330. DOI: https://doi.org/10.1080/17415977.2020.1729760      
  31. Yang C.-F., Bondarenko N.P., Xu X.-C. An inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary condition, Inverse Problems and Imaging 14 (2020),  no. 1, 153-169. DOI: https://doi.org/10.3934/ipi.2019068
  32. Bondarenko N., Buterin S. An inverse spectral problem for integro-differential Dirac operators with general convolution kernels, Applicable Analysis 99 (2020), no. 4, 700-716. DOI: https://doi.org/10.1080/00036811.2018.1508653
  33. Hu Y.-T., Bondarenko N.P., Yang C.-F. Traces and inverse nodal problem for Sturm-Liouville operators with frozen argument, Applied Mathematics Letters 102 (2020), 106096, DOI: https://doi.org/10.1016/j.aml.2019.106096
  34. Yang C.-F., Bondarenko N.P. Local solvability and stability of inverse problems for Sturm-Liouville operators with a discontinuity, Journal of Differential Equations 268 (2020), no. 10, 6173-6188, DOI: https://doi.org/10.1016/j.jde.2019.11.035
  35. Bondarenko N.P. Spectral theory of the Sturm-Liouville operator on the star-shaped graph, Mathematical Methods in the Applied Sciences  43 (2019), no. 2, 471-485. DOI: https://doi.org/10.1002/mma.5853
  36. Bondarenko N.P. Spectral analysis of the matrix Sturm-Liouville operator, Boundary Value Problems (2019), 2019:178. DOI: https://doi.org/10.1186/s13661-019-1292-z
  37. Bondarenko N.P. Inverse problem for the differential pencil on an arbitrary graph with partial information given on the coefficients, Analysis and Mathematical Physics 9 (2019),  no. 3, 1393-1409. DOI: https://doi.org/10.1007/s13324-018-0244-6
  38. Bondarenko N.P. An inverse problem for the second-order integro-differential pencil, Tamkang Journal of Mathematics 50 (2019), no. 3, 223-231. DOI: https://doi.org/10.5556/j.tkjm.50.2019.3348
  39. Bondarenko N.P. An inverse problem for an integro-differential equation with a convolution kernel dependent on the spectral parameter, Results in Mathematics (2019), 74:148. https://doi.org/10.1007/s00025-019-1073-0
  40. Hu Y.-T., Bondarenko N.P., Shieh C.-T., Yang C.-F. Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph, Applied Mathematics and Computation 363 (2019), 124606. DOI: https://doi.org/10.1016/j.amc.2019.124606
  41. Bondarenko N.P. An inverse problem for an integro-differential pencil with polynomial eigenparameter-dependence in the boundary condition, Analysis and Mathematical Physics 9 (2019), no. 4, 2227-2236. DOI: https://doi.org/10.1007/s13324-019-00332-8
  42. Bondarenko N. P. An inverse problem for the non-self-adjoint matrix Sturm-Liouville operator, Tamkang Journal of Mathematics 50 (2019), no. 1, 71-102. DOI: https://doi.org/10.5556/j.tkjm.50.2019.2735
  43. Bondarenko N.P. An inverse problem for Sturm-Liouville operators on trees with partial information given on the potentials, Mathematical Methods in the Applied Sciences 42 (2019), no. 5, 1512-1528. DOI: https://doi.org/10.1002/mma.5448
  44. Bondarenko N.P. An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel, Journal of Inverse and Ill-Posed Problems 27 (2019), no. 2, 151-157, DOI: https://doi.org/10.1515/jiip-2017-0058.
  45. Yang C.-F., Bondarenko N.P. A partial inverse problem for the Sturm-Liouville operator on the lasso-graph, Inverse Problems and Imaging 13 (2019), no. 1, 69-79. DOI: https://doi.org/10.3934/ipi.2019004
  46. Bondarenko N.P., Buterin S.A., Vasiliev S.V. An inverse spectral problem for Sturm–Liouville operators with frozen argument, Journal of Mathematical Analysis and Applications 472 (2019), 1028-1041. DOI: https://doi.org/10.1016/j.jmaa.2018.11.062
  47. Bondarenko N.P., Yurko V.A. Partial inverse problems for the Sturm-Liouville equation with deviating argument, Mathematical Methods in the Applied Sciences 41 (2018), no. 17, 8350-8354. DOI: https://doi.org/10.1002/mma.5265
  48. Bondarenko N.P. Inverse problems for the matrix Sturm-Liouville equation with a Bessel-type singularity, Applicable Analysis 97 (2018), no. 7, 1209-1222. DOI: https://doi.org/10.1080/00036811.2017.1309026
  49. Bondarenko N.P. Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with mixed boundary conditions, Journal of Inverse and Ill-Posed Problems 26 (2018), no. 1, 1-12. https://doi.org/10.1515/jiip-2017-0001
  50. Bondarenko N.P. A partial inverse problem for the Sturm-Liouville operator on a star-shaped graph, Analysis and Mathematical Physics 8 (2018), no. 1, 155-168. DOI: https://doi.org/10.1007/s13324-017-0172-x
  51. Bondarenko N.P. An inverse problem for an integro-differential operator on a star-shaped graph, Mathematical Methods in the Applied Sciences 41 (2018) , no. 4, 1697-1702. DOI: https://doi.org/10.1002/mma.4698
  52. Bondarenko N.P. A 2-edge partial inverse problem for the Sturm-Liouville operators with singular potentials on a star-shaped graph, Tamkang Journal of Mathematics 49 (2018),  no. 1, 49-66. DOI: https://doi.org/10.5556/j.tkjm.49.2018.2425
  53. Bondarenko N.P., Yang C.-F. Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with different edge lengths, Results in Mathematics (2018), 73:56. DOI: https://doi.org/10.1007/s00025-018-0817-6
  54. Bondarenko N., Yurko V. An inverse problem for Sturm-Liouville differential operators with deviating argument, Applied Mathematics Letters 83 (2018), 140-144. DOI: https://doi.org/10.1016/j.aml.2018.03.025
  55. Bondarenko N. Matrix Sturm-Liouville equation with a Bessel-type singularity on a finite interval, Analysis and Mathematical Physics 7 (2017),  no. 1, 77-92. DOI: https://doi.org/10.1007/s13324-016-0131-y
  56. Bondarenko N., Buterin S. On recovering the Dirac operator with an integral delay from the spectrum, Results in Mathematics 71 (2017), no. 3-4, 1521-1529. DOI: https://doi.org/10.1007/s00025-016-0568-1
  57. Bondarenko N. Inverse scattering on the line for the matrix Sturm-Liouville equation, Journal of Differential Equations 262 (2017), no. 3, 2073-2105. DOI: https://doi.org/10.1016/j.jde.2016.10.040
  58. Bondarenko N.P. A partial inverse problem for the differential pencil on a star-shaped graph, Results in Mathematics 72 (2017), no. 4, 1933-1942. DOI: https://doi.org/10.1007/s00025-017-0683-7
  59. Bondarenko N., Shieh C.-T. Partial inverse problems on trees, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 147A (2017), 917-933. DOI: https://doi.org/10.1017/S0308210516000482
  60. Bondarenko N., Buterin S. On a local solvability and stability of the inverse transmission eigenvalue problem, Inverse Problems 33 (2017), 115010. DOI: https://doi.org/10.1088/1361-6420/aa8cb5
  61. Bondarenko N. Recovery of the matrix quadratic differential pencil from the spectral data. Journal of Inverse and Ill-posed Problems 24 (2016), no. 3, 245-263. DOI: https://doi.org/10.1515/jiip-2014-0074
  62. Bondarenko N. An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line, Boundary Value Problems (2015), 2015:15. DOI: https://doi.org/10.1186/s13661-014-0275-3
  63. Bondarenko N. An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity, International Journal of Differential Equations  (2015), Article ID 647396. DOI: https://doi.org/10.1155/2015/647396
  64. Bondarenko N. Inverse problems for the differential operator on the graph with a cycle with different orders on different edges. Tamkang Journal of Mathematics 46 (2015), no. 3, 229-243. DOI: https//doi.org/10.5556/j.tkjm.46.2015.1694
  65. Bondarenko N., Freiling G. An inverse problem for the quadratic pencil of non-self-adjoint matrix operators on the half-line, Journal of Inverse and Ill-Posed Problems 22 (2014), 467-495. DOI: https://doi.org/10.1515/jip-2012-0100
  66. Bondarenko N., Freiling G., Urazboev G. Integration of the matrix KdV equation with self-consistent source, Chaos, Solitons & Fractals 49 (2013), 21-27. DOI: https://doi.org/10.1016/j.chaos.2013.02.010
  67. Bondarenko N.P. Necessary and sufficient conditions for the solvability of the inverse problem for the matrix Sturm-Liouville operator, Functional Analysis and Its Applications 46 (2012), no.1, 53–57. https://doi.org/10.1007/s10688-012-0006-4
  68. Bondarenko N. Spectral analysis for the matrix Sturm-Liouville operator on a finite interval, Tamkang Journal of Mathematics 42 (2011), no. 3, 305-327. DOI: https://doi.org/10.5556/j.tkjm.42.2011.756

 

Повышение квалификации: 
Обратные и некорректно поставленные задачи математической физики, Университет Дуйсбург-Эссен (Германия), 2011 г.
Тамканский университет, Тайбэй, 2015 г.
Ответственный за наполнение страницы Казакова Надежда Васильевна
Email: kazakova@info.sgu.ru