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Tikhovskaya, Svetlana Valerevna
Total publications: 67 (67)
in MathSciNet: 11 (11)
in zbMATH: 9 (9)
in Web of Science: 11 (11)
in Scopus: 15 (15)
Cited articles: 11
Citations: 38

Number of views:
This page:7986
Abstract pages:2644
Full texts:738
References:326
Tikhovskaya, Svetlana Valerevna
Candidate of physico-mathematical sciences (2014)
Speciality: 01.01.07 (Computing mathematics)
E-mail:
Keywords: boundary layer, difference scheme, uniform convergence, two-grid method, Richardson extrapolation.
UDC: 519.62, 519.63, 519.65, 519.632, 519.624.2
MSC: 65N06, 65L12, 65L05, 65L11, 35J25, 65N12, 65L10, 65N22, 65N50, 35J25, 35J99, 65N55, 65N15, 65D25, 41A30, 65

Subject:

Construction of difference schemes for singularly perturbed problems. Investigation of a two-grid method. The Richardson method
   
Main publications:
  1. S. V. Tikhovskaya, “A Cascadic Multigrid Algorithm on the Shishkin Mesh for a Singularly Perturbed Elliptic Problem with regular layers”, XV International Scientific and Technical Conference “Applied Mechanics and Systems Dynamics” AMSD 2021 (Omsk, Russian Federation, 09.11 – 11.11.2021), Journal of Physics: Conference Series, 2182, 2022, 012034 , 9 pp.  crossref  adsnasa  elib  scopus
  2. S. V. Tikhovskaya, “A cascadic multigrid algorithm on the Shishkin mesh for a singularly perturbed elliptic problem”, V International Scientific and Technical Conference “Mechanical Science and Technology Update” MSTU-2021 (Omsk, Russian Federation, 16.03 – 17.03.2021), Journal of Physics: Conference Series, 1901, 2021, 012052 , 8 pp.  crossref  adsnasa  elib  scopus
  3. S. V. Tikhovskaya, M. F. Korbut, “Two-grid algorithm for a system of singularly perturbed reaction-diffusion equations on Shishkin mesh”, IV International Scientific and Technical Conference “Mechanical Science and Technology Update” (MSTU-2020) (Omsk, Russian Federation, 17.03 – 19.03.2020), Journal of Physics: Conference Series, 1546, 2020, 012104 , 8 pp.  crossref  adsnasa  isi  elib  scopus
  4. S. V. Tikhovskaya, M. F. Korbut, “Two-grid algorithm for the solution of singularly perturbed two-parameter problem on Shishkin mesh”, 12th International Scientific and Technical Conference on Applied Mechanics and Systems Dynamics (AMSD 2018) (Omsk, Russian Federation, 13.11 – 15.11.2018), Journal of Physics: Conference Series, 1210, 2019, 012142 , 8 pp.  crossref  adsnasa  isi  elib  scopus
  5. A. I. Zadorin, S. V. Tikhovskaya, “Formulas of numerical differentiation on a uniform mesh for functions with the exponential boundary layer”, International Journal of Numerical Analysis and Modeling, 16:4 (2019), 590–608 www.math.ualberta.ca/ijnam/Volume-16-2019/No-4-19/2019-04-04.pdf  mathscinet  zmath  isi  elib  scopus
  6. S. V. Tikhovskaya, “Solving a Singularly Perturbed Elliptic Problem by a Cascadic Multigrid Algorithm with Richardson Extrapolation”, Finite Difference Methods. Theory and Applications. FDM 2018. (Lozenetz, Bulgaria, 11.06 – 16.06.2018), Lecture Notes in Computer Science, 11386, 2019, 533–541  crossref  mathscinet  zmath  elib  scopus
  7. S. V. Tikhovskaya, “Analysis of the numerical differentiation formulas of functions with large gradients”, Ninth International Conference on Application of Mathematics in Technical and Natural Sciences (AMiTaNS-2017) (Albena, Bulgaria, 21.06 – 26.06.2017), AIP Conference Proceedings, 1895, 2017, 110010 , 9 pp.  crossref  adsnasa  isi  elib  scopus
  8. S. V. Tikhovskaya, “Solving a singularly perturbed elliptic problem by a multigrid algorithm with Richardson extrapolation”, Sixth Conference on Numerical Analysis and Its Applications (NAA'2016) (Lozenetz, Bulgaria, 15.06 – 22.06.2016), Lecture Notes in Computer Science, 10187, 2017, 674–681  crossref  mathscinet  zmath  isi  elib  scopus
  9. S. V. Tikhovskaya, A. I. Zadorin, “Analysis of polynomial interpolation of the function of two variables with large gradients in the parabolic boundary layers”, Eighth International Conference on Application of Mathematics in Technical and Natural Sciences (AMiTaNS-2016) (Albena, Bulgaria, 22.06 – 27.06.2016), AIP Conference Proceedings, 1773, 2016, 100008 , 9 pp.  crossref  adsnasa  isi  elib  scopus
  10. S. V. Tikhovskaya , A. I. Zadorin, “A Two-grid Method with Richardson Extrapolation For a Semilinear Convection-diffusion Problem”, Seventh International Conference on Application of Mathematics in Technical and Natural Sciences (AMiTaNS-2015) (Albena, Bulgaria, 28.06 – 03.07.2015), AIP Conference Proceedings, 1684, 2015, 090007 , 8 pp.  crossref  adsnasa  isi  elib  scopus
  11. S. V. Tikhovskaya, “Investigation of a two-grid method of improved accuracy for the elliptic reaction–diffusion equation with boundary layers”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 157:1 (2015), 60–74  mathnet  mathscinet  zmath  elib
  12. A. I. Zadorin, S. V. Tikhovskaya, N. A. Zadorin, “A two-grid method for elliptic problem with boundary layers”, Applied Numerical Mathematics, 93 (2015), 270–278  crossref  mathscinet  zmath  isi  elib  scopus
  13. S. V. Tikhovskaya, Razrabotka raznostnykh skhem na sguschayuschikhsya setkakh dlya kraevykh zadach s pogranichnym sloem, dissertatsiya ... kandidata fiziko-matematicheskikh nauk, Omskii filial Instituta matematiki im. S.L. Soboleva, Omsk, 2013 , 105 pp. "www.sscc.ru/Diss_sov/Tikhovskaya.pdf  elib
  14. A. I. Zadorin, S. V. Tikhovskaya, “A two-grid method for a nonlinear singular perturbation boundary value problem on the Shishkin scheme”, Sib. Zh. Ind. Mat., 16:1 (2013), 42–55  mathnet  mathscinet  zmath  elib
  15. A. I. Zadorin, S. V. Tikhovskaya, “Solving a second-order nonlinear singular perturbation ordinary differential equation by a Samarskii scheme”, Num. Anal. Appl., 6:1 (2013), 9–23 , WOS:000219643200002  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
  16. S. V. Tikhovskaya, “A Two-Grid Method for an Elliptic Equation with Boundary Layers on a Shishkin Mesh”, Lobachevskii Journal of Mathematics, 35:4 (2014), 409–415 , WOS:000213043900019  mathnet  crossref  mathscinet  mathscinet  isi  elib  elib  scopus
  17. A. I. Zadorin, S. V. Tikhovskaya, “Difference scheme on a uniform grid for the singularly perturbed Cauchy problem”, Journal of Mathematical Sciences, 195:6 (2013), 865–872  mathnet  crossref  mathscinet  zmath  elib  elib  scopus
  18. A. I. Zadorin, S. V. Tikhovskaya, “Analysis of a difference scheme for a singular perturbation Cauchy problem on refined grids”, Num. Anal. Appl., 4:1 (2011), 36–45 , WOS:000219603500004  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

https://www.mathnet.ru/eng/person62227
List of publications on Google Scholar
https://zbmath.org/authors/ai:tikhovskaya.svetlana-v
https://mathscinet.ams.org/mathscinet/MRAuthorID/1055901
https://elibrary.ru/author_items.asp?spin=6158-0488
https://orcid.org/0000-0001-9992-7014
https://publons.com/researcher/2590672
https://www.webofscience.com/wos/author/record/M-2485-2013
https://www.scopus.com/authid/detail.url?authorId=37015637900

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2022
1. S. V. Tikhovskaya, “A Cascadic Multigrid Algorithm on the Shishkin Mesh for a Singularly Perturbed Elliptic Problem with regular layers”, XV International Scientific and Technical Conference “Applied Mechanics and Systems Dynamics” AMSD 2021 (Omsk, Russian Federation, 09.11 – 11.11.2021), Journal of Physics: Conference Series, 2182, 2022, 012034 , 9 pp.  crossref  adsnasa  elib  scopus
2. S. V. Tikhovskaya, “Kompleksnyi podkhod k organizatsii i otsenke rezultatov kontrolya znanii studentov”, Metodika prepodavaniya matematicheskikh i estestvenno-nauchnykh distsiplin: sovremennye problemy i tendentsii razvitiya, Materialy IX Vserossiiskoi nauchno-prakticheskoi konferentsii (Omsk, 29 iyunya 2022 g.), UDK 37.016:51 BBK 74.262.21ya43 M545, ISBN 978-5-7779-2606-7, eds. Yu. V. Kovalenko, Izdatelstvo Omskogo gosudarstvennogo universiteta, Omsk, 2022, 42–46 "omsu.ru/science/materialy-konferentsiy/2022/, omsu.ru/science/materialy-konferentsiy/2022/Metodika prepodavaniya matematicheskikh i estestvenno-nauchnykh distsiplin_.pdf"  elib

   2021
3. S. V. Tikhovskaya, “A cascadic multigrid algorithm on the Shishkin mesh for a singularly perturbed elliptic problem”, V International Scientific and Technical Conference “Mechanical Science and Technology Update” MSTU-2021 (Omsk, Russian Federation, 16.03 – 17.03.2021), Journal of Physics: Conference Series, 1901, 2021, 012052 , 8 pp.  crossref  adsnasa  elib  scopus
4. S. V. Tikhovskaya, “Nekotorye osobennosti predstavleniya naukometricheskikh pokazatelei v razlichnykh bibliograficheskikh bazakh dannykh”, Metodika prepodavaniya matematicheskikh i estestvenno-nauchnykh distsiplin: sovremennye problemy i tendentsii razvitiya, Materialy VIII Vserossiiskoi nauchno-prakticheskoi konferentsii (Omsk, 30 iyunya 2021 g.), UDK 37.016:51 BBK 74.262.21ya43 M545, ISBN 978-5-7779-2562-6, eds. Yu. V. Kovalenko, Izd-vo Om. gos. un-ta, Omsk, 2021, 260–266 "omsu.ru/science/materialy-konferentsiy/2021/, omsu.ru/science/materialy-konferentsiy/2021/Metodika prepodavaniya_VIII konf IMIT-.pdf"  elib
5. S. V. Tikhovskaya, “Effektivnost ispolzovaniya individualnykh zadanii dlya kontrolya znanii studentov”, Metodika prepodavaniya matematicheskikh i estestvenno-nauchnykh distsiplin: sovremennye problemy i tendentsii razvitiya, Materialy VIII Vserossiiskoi nauchno-prakticheskoi konferentsii (Omsk, 30 iyunya 2021 g.), UDK 37.016:51 BBK 74.262.21ya43 M545, ISBN 978-5-7779-2562-6, eds. Yu. V. Kovalenko, Izd-vo Om. gos. un-ta, Omsk, 2021, 39–43 "omsu.ru/science/materialy-konferentsiy/2021/, omsu.ru/science/materialy-konferentsiy/2021/Metodika prepodavaniya_VIII konf IMIT-.pdf"  elib

   2020
6. S. V. Tikhovskaya, M. F. Korbut, “Two-grid algorithm for a system of singularly perturbed reaction-diffusion equations on Shishkin mesh”, IV International Scientific and Technical Conference “Mechanical Science and Technology Update” (MSTU-2020) (Omsk, Russian Federation, 17.03 – 19.03.2020), Journal of Physics: Conference Series, 1546, 2020, 012104 , 8 pp.  crossref  adsnasa  isi  elib  scopus
7. S. V. Tikhovskaya, “Ispolzovanie vozmozhnostei instrumentov Yandeks i Google dlya kontrolya znanii studentov”, Metodika prepodavaniya matematicheskikh i estestvennonauchnykh distsiplin: sovremennye problemy i tendentsii razvitiya, Materialy VII Vserossiiskoi nauchno-prakticheskoi konferentsii (Omsk, 2 iyulya 2020 g.), UDK 37.016:50+37.016:51 BBK 74.26ya43ya05 M545, ISBN 978-5-7779-2500-8, eds. Yu. V. Kovalenko, Izd-vo Om. gos. un-ta, Omsk, 2020, 195–198 "omsu.ru/science/materialy-konferentsiy/2020/, omsu.ru/science/materialy-konferentsiy/2020/Metodika-distsiplin-.pdf"  crossref  elib
8. S. V. Tikhovskaya, “Ob obuchenii studentov tekhnologiyam analiza dannykh na baze platformy Deductor Academic”, Metodika prepodavaniya matematicheskikh i estestvennonauchnykh distsiplin: sovremennye problemy i tendentsii razvitiya, Materialy VII Vserossiiskoi nauchno-prakticheskoi konferentsii (Omsk, 2 iyulya 2020 g.), UDK 37.016:50+37.016:51 BBK 74.26ya43ya05 M545, ISBN 978-5-7779-2500-8, eds. Yu. V. Kovalenko, Izd-vo Om. gos. un-ta, Omsk, 2020, 199–203 "omsu.ru/science/materialy-konferentsiy/2020/, omsu.ru/science/materialy-konferentsiy/2020/Metodika-distsiplin-.pdf"  crossref  elib
9. S. V. Tikhovskaya, “Kaskadnyi mnogosetochnyi algoritm dlya singulyarno vozmuschennoi ellipticheskoi zadachi na setke Shishkina”, Omskie nauchnye chteniya – 2020, Materialy Chetvertoi Vserossiiskoi nauchnoi konferentsii (Omsk, 30 noyabrya–5 dekabrya 2020 g.), UDK 001 BBK 72ya43ya05 O-578, ISBN 978-5-7779-2339-4, eds. P. V. Prudnikov i dr., Izd-vo Om. gos. un-ta, Omsk, 2020, 2166–2171 "omsu.ru/science/materialy-konferentsiy/2020/, omsu.ru/science/materialy-konferentsiy/2020/osr_2020.pdf"  elib

   2019
10. S. V. Tikhovskaya, “Solving a Singularly Perturbed Elliptic Problem by a Cascadic Multigrid Algorithm with Richardson Extrapolation”, Finite Difference Methods. Theory and Applications. FDM 2018. (Lozenetz, Bulgaria, 11.06 – 16.06.2018), Lecture Notes in Computer Science, 11386, 2019, 533–541  crossref  mathscinet  zmath  elib  scopus 1
11. A. I. Zadorin, S. V. Tikhovskaya, “Formulas of numerical differentiation on a uniform mesh for functions with the exponential boundary layer”, International Journal of Numerical Analysis and Modeling, 16:4 (2019), 590–608 www.math.ualberta.ca/ijnam/Volume-16-2019/No-4-19/2019-04-04.pdf  mathscinet  zmath  isi  elib  scopus
12. S. V. Tikhovskaya, M. F. Korbut, “Two-grid algorithm for the solution of singularly perturbed two-parameter problem on Shishkin mesh”, 12th International Scientific and Technical Conference on Applied Mechanics and Systems Dynamics (AMSD 2018) (Omsk, Russian Federation, 13.11 – 15.11.2018), Journal of Physics: Conference Series, 1210, 2019, 012142 , 8 pp.  crossref  adsnasa  isi  elib  scopus 1
13. S. V. Tikhovskaya, “Solving an Elliptic Problem with Regular and Parabolic Boundary Layers by a Multigrid Algorithm”, Eleventh International Conference on Application of Mathematics in Technical and Natural Sciences. Book of abstract. (Albena, Bulgaria. June 20 – 25, 2019), eds. M. Todorov, Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences, 2019, 87–88 "2019.eac4amitans.eu, 2019.eac4amitans.eu/resources/amitansabsbook.pdf"
14. S. V. Tikhovskaya, “Dvukhsetochnyi metod dlya nelineinogo singulyarno vozmuschennogo uravneniya vtorogo poryadka s dvumya parametrami”, Marchukovskie nauchnye chteniya – 2019: Tezisy Mezhdunarodnoi konferentsii “Aktualnye problemy vychislitelnoi i prikladnoi matematiki” (Novosibirsk, 1 iyulya – 5 iyulya 2019), UDK 519.6 BBK 22.19 M30, ISBN 978-5-4437-0913-0, IPTs NGU, Novosibirsk, 2019, 37–38 conf.nsc.ru/amca2019/proceedings, conf.nsc.ru/files/conferences/amca2019/546719/Tezisy_APVPM_2019_DOI.pdf"  crossref  elib
15. Yu. V. Kovalenko, S. V. Tikhovskaya, “Kompleksnyi podkhod k obucheniyu studentov napisaniyu nauchnykh publikatsii”, Metodika prepodavaniya matematicheskikh i estestvennonauchnykh distsiplin: sovremennye problemy i tendentsii razvitiya, Materialy VI Vserossiiskoi nauchno-prakticheskoi konferentsii (Omsk, 4 iyulya 2019 g.), UDK 37.016:50+37.016:51 BBK 2r30ya43+22.1r30ya43 M545, ISBN 978-5-8149-2928-0, eds. A. A. Romanova, Izd-vo OmGTU, Omsk, 2019, 169–173 "omsu.ru/about/structure/study/im/Publikatsii/, omsu.ru/about/structure/study/im/Publikatsii/Sbornik MP matematicheskikh i estestvennonauchnykh distsiplin... 25.10.2019.pdf"  elib
16. S. V. Tikhovskaya, “Dvukhsetochnyi metod dlya nelineinogo singulyarno vozmuschennogo uravneniya vtorogo poryadka s dvumya parametrami”, Marchukovskie nauchnye chteniya – 2019: Trudy Mezhdunarodnoi konferentsii “Aktualnye problemy vychislitelnoi i prikladnoi matematiki” (Novosibirsk, 1 iyulya – 5 iyulya 2019), UDK 519.6 BBK 22.19 M30, ISBN 978-5-901548-42-4, IPTs NGU, Novosibirsk, 2019, 500–507 conf.nsc.ru/amca2019/proceedings, conf.nsc.ru/files/conferences/amca2019/554130/APVPM-2019.pdf  crossref  elib

   2018
17. S. V. Tikhovskaya, “Solving a Singularly Perturbed Elliptic Problem by a Cascadic Multigrid Algorithm with Richardson Extrapolation”, FDM’18: Seventh Conference on Finite Difference Methods: Theory and Applications. Abstracts. (Lozenetz, Bulgaria. June 11 – 16, 2018), eds. L. Vulkov, University of Russe, Rousse, 2018, 50 "parallel.bas.bg/dpa/FDM2018/"
18. S. V. Tikhovskaya, “Solving a Singularly Perturbed Elliptic Problem by a Cascadic Multigrid Algorithm on the Shishkin Mesh”, Tenth International Conference on Application of Mathematics in Technical and Natural Sciences. Book of abstract. (Albena, Bulgaria. June 20 – 25, 2018), eds. M. Todorov, Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences, 2018, 71–72 "2018.eac4amitans.eu, 2018.eac4amitans.eu/resources/amitansabsbook.pdf"
19. Yu. V. Kovalenko, S. V. Tikhovskaya, “O publikatsionnoi aktivnosti v nauchnykh izdaniyakh raznogo urovnya”, Metodika prepodavaniya matematicheskikh i estestvennonauchnykh distsiplin: sovremennye problemy i tendentsii razvitiya, Materialy V Vserossiiskoi nauchno-prakticheskoi konferentsii (Omsk, 3 iyulya 2018 g.), UDK 37.016:50+37.016:51 BBK 2r30ya43+22.1r30ya43 M545, ISBN 978-5-7779-2282-3, eds. A. A. Romanova, Izd-vo Om. gos. un-ta, Omsk, 2018, 218–221 "omsu.ru/science/materialy-konferentsiy/2018/, omsu.ru/science/materialy-konferentsiy/2018/Metodika prepodavaniya matematicheskikh i estestvennonauchnykh distsiplin.pdf"  elib
20. S. V. Tikhovskaya, “Reshenie dvukhsetochnym metodom nelineinogo singulyarno vozmuschennogo uravneniya vtorogo poryadka s dvumya parametrami”, Omskie nauchnye chteniya – 2018, Materialy Vtoroi Vserossiiskoi nauchnoi konferentsii (Omsk, 10–15 dekabrya 2018 g.), UDK 001 BBK 72ya43 O-578, ISBN 978-5-7779-2339-4, eds. T. F. Yaschuk i dr., Izd-vo Om. gos. un-ta, Omsk, 2018, 263–266 "omsu.ru/science/materialy-konferentsiy/2018/, omsu.ru/science/materialy-konferentsiy/2018/Omskie nauchnye chteniya-.pdf"  elib

   2017
21. S. V. Tikhovskaya, “Solving a singularly perturbed elliptic problem by a multigrid algorithm with Richardson extrapolation”, Sixth Conference on Numerical Analysis and Its Applications (NAA'2016) (Lozenetz, Bulgaria, 15.06 – 22.06.2016), Lecture Notes in Computer Science, 10187, 2017, 674–681  crossref  mathscinet  zmath  isi  elib  scopus 1
22. S. V. Tikhovskaya, “Investigation of the numerical differentiation formulas of functions with large gradients”, Ninth International Conference on Application of Mathematics in Technical and Natural Sciences. Book of abstract. (Albena, Bulgaria. June 21 – 26, 2017), Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences, 2017, 75 "2017.eac4amitans.eu, 2017.eac4amitans.eu/resources/amitansabsbook.pdf"
23. S. V. Tikhovskaya, A. I. Zadorin, “Formuly chislennogo differentsirovaniya funktsii s bolshimi gradientami”, Marchukovskie nauchnye chteniya – 2017. Tezisy. (Novosibirsk, Rossiya. 25 iyunya – 14 iyulya 2017), UDK 519.6 BBK 22.19, ISBN 978-5-91907-041-2, Omega Print, Novosibirsk, 2017, 63 "conf.nsc.ru/cam17/proceedings, conf.nsc.ru/files/conferences/cam17/421162/AbstractsCAM2017.pdf"
24. S. V. Tikhovskaya, “Issledovanie mnogosetochnogo metoda povyshennoi tochnosti na setke Shishkina dlya singulyarno vozmuschennoi ellipticheskoi zadachi”, Matematika v sovremennom mire. Mezhdunarodnaya konferentsiya, posvyaschennaya 60-letiyu Instituta matematiki im. S.L. Soboleva. Tezisy dokladov (Novosibirsk, Rossiya. 14 – 19 avgusta 2017), UDK 51 BBK V1+V31 M34, ISBN 978-5-86134-206-3, eds. G. V. Demidenko, Izd-vo Instituta matematiki, Novosibirsk, 2017, 412 "math.nsc.ru/conference/mmw/2017/, math.nsc.ru/conference/mmw/2017/Book_Abstract.pdf"  elib
25. S. V. Tikhovskaya, “Analysis of the numerical differentiation formulas of functions with large gradients”, Ninth International Conference on Application of Mathematics in Technical and Natural Sciences (AMiTaNS-2017) (Albena, Bulgaria, 21.06 – 26.06.2017), AIP Conference Proceedings, 1895, 2017, 110010 , 9 pp.  crossref  adsnasa  isi  elib  scopus
26. S. V. Tikhovskaya, “Nekotorye osobennosti provedeniya individualnykh rabot po napravleniyu «Informatsionnye sistemy i tekhnologii»”, Metodika prepodavaniya matematicheskikh i estestvennonauchnykh distsiplin: sovremennye problemy i tendentsii razvitiya, Materialy IV Vserossiiskoi nauchno-prakticheskoi konferentsii (Omsk, 4 iyulya 2017 g.), UDK 53+51 BBK 22.3ya43+22.1ya43 F 114, ISBN 978-5-7779-2156-7, eds. A. A. Romanova, Izd-vo Om. gos. un-ta, Omsk, 2017, 232–234 "omsu.ru/science/materialy-konferentsiy/2017/, omsu.ru/science/materialy-konferentsiy/2017/Metodika prepodavaniya matematicheskikh i estestvennonauchnykh distsiplin.compressed.pdf"  elib
27. S. V. Tikhovskaya, A. I. Zadorin, “Formuly chislennogo differentsirovaniya funktsii s bolshimi gradientami”, Trudy Mezhdunarodnoi konferentsii «Marchukovskie nauchnye chteniya – 2017» (Novosibirsk, 25 iyunya – 14 iyulya 2017 g.), UDK 519.6 BBK 22.19, eds. I. M. Kulikov, IVMiMG SO RAN, Novosibirsk, 2017, 878–884 "conf.nsc.ru/cam17/proceedings, conf.nsc.ru/files/conferences/cam17/427967/ProceedingsCAM2017.pdf"  elib
28. S. V. Tikhovskaya, “Osobennosti mnogosetochnogo algoritma pri reshenii singulyarno vozmuschennykh zadach”, Omskie nauchnye chteniya, Materialy Vserossiiskoi nauchno-prakticheskoi konferentsii (Omsk, 11–16 dekabrya 2017 g.), UDK 001 BBK 72ya43ya05 O-578, ISBN 978-5-7779-2192-5, eds. S. V. Belim, Izd-vo Om. gos. un-ta, Omsk, 2017, 1054–1056 "omsu.ru/science/materialy-konferentsiy/2017/, omsu.ru/science/materialy-konferentsiy/2017/Omskie nauchnye chteniya.compressed.pdf"  elib

   2016
29. S. V. Tikhovskaya, A. I. Zadorin, “Analysis of polynomial interpolation of the function of two variables with large gradients in the parabolic boundary layers”, Eighth International Conference on Application of Mathematics in Technical and Natural Sciences (AMiTaNS-2016) (Albena, Bulgaria, 22.06 – 27.06.2016), AIP Conference Proceedings, 1773, 2016, 100008 , 9 pp.  crossref  adsnasa  isi  elib  scopus 1
30. Yu. V. Kovalenko, A. A. Romanova, S. V. Tikhovskaya, “Ob ispolzovanii individualnykh zadanii raznogo urovnya slozhnosti v kurse «Issledovanie operatsii»”, Metodika prepodavaniya matematicheskikh i estestvennonauchnykh distsiplin: sovremennye problemy i tendentsii razvitiya, Materialy III Vserossiiskoi nauchno-prakticheskoi konferentsii (Omsk, 16 marta 2016 g.), BBK 2 M54, ISBN 978-5-98065-140-4, eds. A. A. Romanova, Omskaya yuridicheskaya akademiya, Omsk, 2016, 211–215 "siblu.ru/science/conferences"  elib
31. S. V. Tikhovskaya, “Solving an elliptic problem with regular boundary layers by multigrid method on Shishkin mesh”, Numerical methods for problems with layer phenomena. Abstracts of the 13th Annual Workshop. (Moscow, Russia. April 6 – 9, 2016), Physics Faculty & Research Computing Center Lomonosov Moscow State University, Moscow, 2016, 47 "math.phys.msu.ru/layer-phenomena-2016"
32. S. V. Tikhovskaya, “Solving a singularly perturbed elliptic problem by a multigrid algorithm with Richardson extrapolation”, NAA’16: Sixth Conference on Numerical Analysis and Applications. Abstracts. (Lozenetz, Bulgaria. June 15 – 22, 2016), University of Russe, Rousse, 2016, 55 "parallel.bas.bg/dpa/NAA16/"
33. S. V. Tikhovskaya, A. I. Zadorin, “Polynomial interpolation of the function of two variables with large gradients in the parabolic and exponential boundary layers”, Eighth International Conference on Application of Mathematics in Technical and Natural Sciences. Book of abstract. (Albena, Bulgaria. June 22 – 27, 2016), Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences, 2016, 71–72 "2016.eac4amitans.eu/, http://2016.eac4amitans.eu/resources/amitansabsbook.pdf"
34. S. V. Tikhovskaya, “Reshenie singulyarno vozmuschennoi ellipticheskoi zadachi mnogosetochnym metodom s ekstrapolyatsiei Richardsona”, Aktualnye problemy prikladnoi matematiki i mekhaniki, Tezisy dokladov VIII Vserossiiskoi konferentsii «Aktualnye problemy prikladnoi matematiki i mekhaniki», posvyaschennoi pamyati akademika A.F. Sidorova, i Vserossiiskoi molodezhnoi shkoly-konferentsii (Abrau-Dyurso, 5–10 sentyabrya 2016 g.), UDK 519.6, eds. M. Yu. Filimonov, IMM UrO RAN, Ekaterinburg, 2016, 101–102 "afsid.imm.uran.ru"  elib
35. S. V. Tikhovskaya, “Issledovanie mnogosetochnogo metoda na setke Shishkina dlya ellipticheskogo uravneniya s regulyarnymi pogranichnymi sloyami”, Materialy Odinnadtsatoi Mezhdunarodnoi konferentsii "Setochnye metody dlya kraevykh zadach i prilozheniya (Kazan, 20 oktyabrya – 25 oktyabrya 2016 g.), Kazanskii universitet, Kazan, 2016, 278–286 "kpfu.ru/computing-technology/nauchno-issledovatelskaya-rabota/konferencii-instituta-vmiit-vmk/setochnye-metody-dlya-kraevyh-zadach-i-74104, kpfu.ru/portal/docs/F1512620879/CONF2016_1_1.pdf"  elib

   2015
36. A. I. Zadorin, S. V. Tikhovskaya, N. A. Zadorin, “A two-grid method for elliptic problem with boundary layers”, Applied Numerical Mathematics, 93 (2015), 270–278  crossref  mathscinet  zmath  isi  elib  scopus 12
37. S. V. Tikhovskaya, “Dvumernyi analog interpolyatsionnoi formuly dlya funktsii s pogransloinoi sostavlyayuschei”, FM OmGU 2015: sbornik statei III Regionalnoi konferentsii magistrantov, aspirantov i molodykh uchenykh po fizike i matematike (25 maya – 5 iyunya 2015 g.), UDK 53+51 BBK 22.3ya43+22.1ya43 F114, ISBN 978-5-7779-1894-9, Izd-vo Om. gos. un-ta, Omsk, 2015, 25–28 "omsu.ru/science/materialy-konferentsiy/2015/, omsu.ru/science/materialy-konferentsiy/2015/FM OmGU 2015.pdf"  elib
38. S. V. Tikhovskaya, “Nekotorye osobennosti prepodavaniya matematicheskikh distsiplin v vysshikh uchebnykh zavedeniyakh”, Metodika prepodavaniya matematicheskikh i estestvennonauchnykh distsiplin: sovremennye problemy i tendentsii razvitiya, Materialy II Vserossiiskoi nauchno-prakticheskoi konferentsii (Omsk, 18 fevralya 2015 g.), BBK 2 M54, ISBN 978-5-98065-130-5, eds. A. A. Romanova, Omskaya yuridicheskaya akademiya, Omsk, 2015, 126–130 "siblu.ru/science/conferences"  elib
39. S. V. Tikhovskaya , A. I. Zadorin, “A Two-grid Method with Richardson Extrapolation For a Semilinear Convection-diffusion Problem”, Seventh International Conference on Application of Mathematics in Technical and Natural Sciences (AMiTaNS-2015) (Albena, Bulgaria, 28.06 – 03.07.2015), AIP Conference Proceedings, 1684, 2015, 090007 , 8 pp.  crossref  adsnasa  isi  elib  scopus 3
40. S. V. Tikhovskaya, A. I. Zadorin, “Solving a semilinear convection-diffusion problem by a two-grid method with Richardson extrapolation”, Seventh International Conference on Application of Mathematics in Technical and Natural Sciences. Book of abstract. (Albena, Bulgaria. June 28 – July 3, 2015), Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences, 2015, 66 "2015.eac4amitans.eu/, 2015.eac4amitans.eu/resources/amitansabsbook2.pdf"
41. S. V. Tikhovskaya, “Mnogosetochnyi algoritm resheniya singulyarno vozmuschennoi zadachi”, Mezhdunarodnaya konferentsiya «Aktualnye problemy vychislitelnoi i prikladnoi matematiki – 2015», posvyaschennaya 90-letiyu so dnya rozhdeniya akademika G.I. Marchuka. Tezisy. (Novosibirsk, Rossiya. 19 – 23 oktyabrya 2015), UDK 519.6 BBK 22.19, ISBN 978-5-9907241-5-0, Akademizdat, Novosibirsk, 2015, 16 "conf.nsc.ru/amca15/proceedings, conf.ict.nsc.ru/files/conferences/amca15/295800/TezisyAMCA15.pdf"
42. S. V. Tikhovskaya, “Mnogosetochnyi algoritm resheniya singulyarno vozmuschennoi zadachi”, Trudy Mezhdunarodnoi konferentsii «Aktualnye problemy vychislitelnoi i prikladnoi matematiki – 2015», posvyaschennoi 90-letiyu so dnya rozhdeniya akademika G.I. Marchuka (Novosibirsk. 19 – 23 oktyabrya 2015 g.), UDK 519.6 BBK 22.19, ISBN 978-5-9905347-2-8, Abvei, Novosibirsk, 2015, 758–763 "conf.nsc.ru/amca15/proceedings, www.sscc.ru/Conf/AMCAProceedings2015post.pdf"  elib
43. S. V. Tikhovskaya, “Investigation of a two-grid method of improved accuracy for the elliptic reaction–diffusion equation with boundary layers”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 157:1 (2015), 60–74  mathnet  mathscinet  zmath  elib

   2014
44. S. V. Tikhovskaya, “Issledovanie dvukhsetochnogo metoda Zeidelya s uchëtom lokalizatsii pogranichnykh sloev”, FM OmGU 2014: sbornik statei II Regionalnoi konferentsii magistrantov, aspirantov i molodykh uchenykh po fizike i matematike (25 maya – 5 iyunya 2014 g.), UDK 53+51 BBK 22.3ya43+22.1ya43 F114, ISBN 978-5-7779-1745-4, Izd-vo Om. gos. un-ta, Omsk, 2014, 33–36 "omsu.ru/science/materialy-konferentsiy/2014/, omsu.ru/science/materialy-konferentsiy/2014/FM_OmGU 2014.pdf"
45. S. V. Tikhovskaya, A. I. Zadorin, “Two-grid method using Richardson extrapolation for nonlinear convection-diffusion problem”, Abstract of the International conference “Advanced mathematics, computations and applications – 2014” (Novosibirsk, Russia. June 8 – 11, 2014), UDK 519.6 BBK 22.19, ISBN 978-5-9904865-8-4, Academizdat, Novosibirsk, 2014, 14–15 "conf.nsc.ru/amca14, conf.nsc.ru/files/conferences/amca14/240437/AMCA_abstracts.pdf"
46. S. V. Tikhovskaya, “Ravnomerno skhodyaschiesya raznostnye skhemy dlya singulyarno vozmuschennoi zadachi Koshi”, Materialy Mezhdunarodnoi shkoly-konferentsii molodykh uchënykh «Sovremennye problemy prikladnoi matematiki i informatiki» (Novosibirsk, 09 iyunya –13 iyunya 2014 g.), IVMiMG SO RAN, Novosibirsk, 2014, 32 "conf.nsc.ru/amca14young/"
47. S. V. Tikhovskaya, A. I. Zadorin, “Issledovanie dvukhsetochnogo metoda Zeidelya dlya ellipticheskogo uravneniya s regulyarnymi pogranichnymi sloyami”, Aktualnye problemy prikladnoi matematiki i mekhaniki, Tezisy dokladov VII Vserossiiskoi konferentsii, posvyaschennoi pamyati akademika A.F. Sidorova (Abrau-Dyurso, 15 sentyabrya – 20 sentyabrya 2014 g.), UDK 519.6, UrO RAN, Ekaterinburg, 2014, 58–59 "afsid.imm.uran.ru/history.php"  elib
48. S. V. Tikhovskaya, “Issledovanie dvukhsetochnogo metoda povyshennoi tochnosti dlya singulyarno vozmuschennoi zadachi”, XX Vserossiiskaya konferentsiya «Teoreticheskie osnovy i konstruirovanie chislennykh algoritmov resheniya zadach matematicheskoi fiziki», posvyaschennaya pamyati K.I. Babenko, Tezisy dokladov (Dyurso, 15 sentyabrya – 20 sentyabrya 2014 g.), UDK 51, 53 BBK 22.19, ISBN 978-5-98354-012-5, Institut prikladnoi matematiki im. M.V. Keldysha, Moskva, 2014, 102–103 "kiam.ru/babenko2014/"
49. Yu. V. Kovalenko, S. V. Tikhovskaya, “Vybor podkhoda prepodavaniya matematicheskikh distsiplin kak neprofilnykh predmetov”, Metodika prepodavaniya distsiplin estestvennonauchnogo tsikla: sovremennye problemy i tendentsii razvitiya, Materialy Vserossiiskoi konferentsii (Omsk, 27 fevralya 2014 g.), BBK 20r30 M54, ISBN 978-5-98065-118-3, eds. A. A. Romanova, Omskaya yuridicheskaya akademiya, Omsk, 2014, 44–48 "siblu.ru/science/conferences"  elib
50. S. V. Tikhovskaya, “Mnogosetochnyi algoritm resheniya ellipticheskoi zadachi s pogranichnymi sloyami”, Materialy Desyatoi Vserossiiskoi konferentsii "Setochnye metody dlya kraevykh zadach i prilozheniya (Kazan, 24 sentyabrya – 29 sentyabrya 2014 g.), UDK 519.6+517.958 BBK 22.193+22.311 S33, ISBN 978-5-00019-426-3, eds. I.B. Badriev, Kazanskii universitet, Kazan, 2014, 592–597 "kpfu.ru/main_page?p_sub=28836"  elib

   2013
51. A. I. Zadorin, S. V. Tikhovskaya, “Solving a second-order nonlinear singular perturbation ordinary differential equation by a Samarskii scheme”, Num. Anal. Appl., 6:1 (2013), 9–23 , WOS:000219643200002  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
52. A. I. Zadorin, S. V. Tikhovskaya, “A two-grid method for a nonlinear singular perturbation boundary value problem on the Shishkin scheme”, Sib. Zh. Ind. Mat., 16:1 (2013), 42–55  mathnet  mathscinet  zmath  elib
53. S. V. Tikhovskaya, “Issledovanie dvukhsetochnogo metoda dlya resheniya singulyarno vozmuschennogo ellipticheskogo uravneniya na setke Shishkina”, FM OmGU 2013: sbornik statei regionalnoi konferentsii magistrantov, aspirantov i molodykh uchenykh po fizike i matematike (Omsk, 11 iyunya 2013 g.), UDK 53+51 BBK 22.3ya43+22.1ya43 F114, ISBN 978-5-7779-1583-2, Izd-vo Om. gos. un-ta, Omsk, 2013, 19–22 "omsu.ru/science/materialy-konferentsiy/2013/, omsu.ru/science/materialy-konferentsiy/2013/FM OmGU 2013.pdf"
54. S. V. Tikhovskaya, “Dvukhsetochnyi metod povyshennoi tochnosti dlya resheniya ellipticheskogo uravneniya reaktsii-diffuzii”, Vserossiiskaya konferentsiya po matematike i mekhanike, posvyaschennaya 135-letiyu Tomskogo gosudarstvennogo universiteta i 65-letiyu mekhaniko-matematicheskogo fakulteta, Cbornik tezisov (Tomsk, 02 oktyabrya – 04 oktyabrya 2013 g.), UDK 519.6; 517.9; 681.3; 523.165 BBK 22.1 V85, ISBN 978-5-91701-084-7, Izd-vo «Ivan Fedorov», Tomsk, 2013, 79 "math.tsu.ru/node/1551, math.tsu.ru/sites/default/files/mmf2/conferences/sbornik_mmf_2013.pdf"
55. S. V. Tikhovskaya, Razrabotka raznostnykh skhem na sguschayuschikhsya setkakh dlya kraevykh zadach s pogranichnym sloem, avtoreferat dis. ... kandidata fiziko-matematicheskikh nauk, Omskii filial Instituta matematiki im. S.L. Soboleva, Omsk, 2013 , 16 pp. "www.sscc.ru/Diss_sov/Tikhovskaya_AbstractThesis.pdf  elib
56. S. V. Tikhovskaya, Razrabotka raznostnykh skhem na sguschayuschikhsya setkakh dlya kraevykh zadach s pogranichnym sloem, dissertatsiya ... kandidata fiziko-matematicheskikh nauk, Omskii filial Instituta matematiki im. S.L. Soboleva, Omsk, 2013 , 105 pp. "www.sscc.ru/Diss_sov/Tikhovskaya.pdf  elib

   2012
57. S. V. Tikhovskaya, “Ekstrapolyatsiya Richardsona v dvukhsetochnom metode dlya nelineinogo uravneniya vtorogo poryadka s pogranichnym sloem”, XIX Vserossiiskaya konferentsiya «Teoreticheskie osnovy i konstruirovanie chislennykh algoritmov resheniya zadach matematicheskoi fiziki», posvyaschennaya pamyati K.I. Babenko, Tezisy dokladov (Dyurso, 10 sentyabrya – 16 sentyabrya 2012 g.), UDK 51, 53 BBK 22.19, ISBN 978-5-98354-008-8, Institut prikladnoi matematiki im. M.V. Keldysha, Moskva, 2012, 94 – 96 "kiam.ru/babenko2012"
58. S. V. Tikhovskaya, A. I. Zadorin, “Skhema vtorogo poryadka tochnosti dlya nelineinogo singulyarno vozmuschennogo uravneniya vtorogo poryadka”, Aktualnye problemy prikladnoi matematiki i mekhaniki, Tezisy dokladov VI Vserossiiskoi konferentsii «Aktualnye problemy prikladnoi matematiki i mekhaniki», posvyaschennoi pamyati akademika A.F. Sidorova (Abrau-Dyurso, 10 sentyabrya – 16 sentyabrya 2012 g.), UDK 519.6, UrO RAN, Ekaterinburg, 2012, 74 "afsid.imm.uran.ru/history.php"  elib
59. S. V. Tikhovskaya, “Dvukhsetochnyi metod resheniya ellipticheskogo uravneniya s pogranichnymi sloyami na neravnomernoi setke”, Materialy Devyatoi Vserossiiskoi konferentsii "Setochnye metody dlya kraevykh zadach i prilozheniya (Kazan, 17 sentyabrya – 22 sentyabrya 2012 g.), UDK 519.6+517.958 BBK 22.193+22.311 S33, ISBN 978-5-9222-0595-5, eds. I.B. Badriev, Otechestvo, Kazan, 2012, 351–355 "kpfu.ru/computing-technology/nauchno-issledovatelskaya-rabota/konferencii-instituta-vmiit-vmk/setochnye-metody-dlya-kraevyh-zadach-i-10616/setochnye-metody-dlya-kraevyh-zadach-i"  elib
60. S. V. Tikhovskaya, “Ekstrapolyatsiya Richardsona dlya obyknovennogo nelineinogo singulyarno vozmuschennogo uravneniya vtorogo poryadka na setke Shishkina”, Molodezh tretego tysyacheletiya: XXXVI mezhdunarodnaya nauchnaya konferentsiya s elementami nauchnoi shkoly dlya molodezhi, sbornik statei sektsii «Fiziko-matematicheskie nauki» (Omsk, 23 aprelya – 18 maya 2012 g.), UDK 378 BBK 74.58ya43 M 754, Izd-vo Om. gos. un-ta, Omsk, 2012, 44–47 "omsu.ru/science/materialy-konferentsiy/2012/, omsu.ru/science/materialy-konferentsiy/2012/Molodezh tretego tysyacheletiya. Sektsiya Fiz-mat.pdf"  elib

   2014
61. S. V. Tikhovskaya, “A Two-Grid Method for an Elliptic Equation with Boundary Layers on a Shishkin Mesh”, Lobachevskii Journal of Mathematics, 35:4 (2014), 409–415 , WOS:000213043900019  mathnet  crossref  mathscinet  mathscinet  isi  elib  elib  scopus

   2011
62. A. I. Zadorin, S. V. Tikhovskaya, “Analysis of a difference scheme for a singular perturbation Cauchy problem on refined grids”, Num. Anal. Appl., 4:1 (2011), 36–45 , WOS:000219603500004  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
63. S. V. Tikhovskaya, “Modifikatsiya skhemy Samarskogo dlya chislennogo resheniya nelineinogo singulyarno vozmuschennogo uravneniya vtorogo poryadka”, Molodezh tretego tysyacheletiya: XXXV regionalnaya nauchno-prakticheskaya studencheskaya konferentsiya, sbornik statei sektsii «Fiziko-matematicheskie nauki» (Omsk, 12 aprelya – 18 maya 2011 g.), UDK 378 BBK 74.58ya43 M 754, Izd-vo Om. gos. un-ta, Omsk, 2011, 36–39 "omsu.ru/science/materialy-konferentsiy/2011/"  elib

   2013
64. A. I. Zadorin, S. V. Tikhovskaya, “Difference scheme on a uniform grid for the singularly perturbed Cauchy problem”, Journal of Mathematical Sciences, 195:6 (2013), 865–872  mathnet  crossref  mathscinet  zmath  elib  elib  scopus

   2010
65. A. I. Zadorin, S. V. Tikhovskaya, “Dvukhsetochnyi metod na neravnomernoi setke dlya nelineinogo singulyarno vozmuschennogo uravneniya vtorogo poryadka”, Materialy VIII Vserossiiskoi konferentsii "Setochnye metody dlya kraevykh zadach i prilozheniya, posvyaschennoi 80-letiyu so dnya rozhdeniya A.D. Lyashko (Kazan, 01 oktyabrya – 5 oktyabrya 2010 g.), UDK 519.6:517.958 BBK 22.193:22.311 S33, eds. I.B. Badriev, Kazanskii universitet, Kazan, 2010, 210–216 "old.kpfu.ru/conf/MeshMethods/2010/index.html
66. S. V. Tikhovskaya, “Metod Richardsona dlya singulyarno vozmuschennogo uravneniya pervogo poryadka”, Molodezh tretego tysyacheletiya: XXXIV regionalnaya nauchno-prakticheskaya studencheskaya konferentsiya, sbornik statei sektsii «Fiziko-matematicheskie nauki» (Omsk, 19 aprelya – 21 maya 2010 g.), UDK 378 BBK 74.58ya43 M 754, Izd-vo Om. gos. un-ta, 2010, Omsk, 2010, 49–52 "omsu.ru/science/materialy-konferentsiy/2010/, omsu.ru/science/materialy-konferentsiy/2010/Molodezh tretego tysyacheletiya. Sektsiya Fiz-mat.pdf"  elib

   2009
67. S. V. Tikhovskaya, “Raznostnye skhemy dlya singulyarno vozmuschennoi nachalnoi zadachi”, Molodezh tretego tysyacheletiya: XXXIII regionalnaya nauchno-prakticheskaya studencheskaya konferentsiya, Tezisy dokladov (Omsk, 14 aprelya – 16 maya 2009 g.), UDK 378.1-057.875+001.18 BBK Ch 484(2)7e43 M 754, ISBN 978-5-7779-1077-6, Izd-vo Om. gos. un-ta, Omsk, 2009, 257–258 "omsu.ru/science/materialy-konferentsiy/2009/  elib

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