Sidikova, A. I.; Sushkov, A. S. Solution of the inverse boundary problem of heat exchange for a hollow cylinder. (Russian. English summary) Zbl 07771099 Sib. Zh. Vychisl. Mat. 26, No. 3, 331-344 (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{A. I. Sidikova} and \textit{A. S. Sushkov}, Sib. Zh. Vychisl. Mat. 26, No. 3, 331--344 (2023; Zbl 07771099) Full Text: DOI MNR
Sidikova, Anna Ivanovna; Sushkov, Andreĭ Sergeevich Numerical solution of the inverse boundary value heat transfer problem for an inhomogeneous rod. (Russian. English summary) Zbl 1484.80008 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 31, No. 2, 253-264 (2021). MSC: 80M22 80A23 65M32 65M30 65M15 35K05 35B65 35Q79 35R30 PDFBibTeX XMLCite \textit{A. I. Sidikova} and \textit{A. S. Sushkov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 31, No. 2, 253--264 (2021; Zbl 1484.80008) Full Text: DOI MNR
Tanana, V. P.; Sidikova, A. I. Solving the inverse heat conduction boundary problem for composite materials. (English) Zbl 1452.80016 Tarasyev, Alexander (ed.) et al., Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16–20, 2019. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 133-143 (2020). MSC: 80A23 65T50 34B24 34L15 65M32 35Q79 PDFBibTeX XMLCite \textit{V. P. Tanana} and \textit{A. I. Sidikova}, in: Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16--20, 2019. Cham: Springer. 133--143 (2020; Zbl 1452.80016) Full Text: DOI
Tanana, Vitalii P.; Sidikova, Anna I. Optimal methods for ill-posed problems. With applications to heat conduction. (English) Zbl 1391.65001 Inverse and Ill-Posed Problems Series 62. Berlin: De Gruyter (ISBN 978-3-11-057573-6/hbk; 978-3-11-057721-1/ebook). viii, 130 p. (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65-01 65F22 65K10 65N20 65Z05 PDFBibTeX XMLCite \textit{V. P. Tanana} and \textit{A. I. Sidikova}, Optimal methods for ill-posed problems. With applications to heat conduction. Berlin: De Gruyter (2018; Zbl 1391.65001) Full Text: DOI
Tanana, V. P.; Sidikova, A. I. On estimating the error of an approximate solution caused by the discretization of an integral equation of the first kind. (English. Russian original) Zbl 1405.65178 Proc. Steklov Inst. Math. 299, Suppl. 1, S217-S224 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 1, 263-270 (2016). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45B05 65R30 PDFBibTeX XMLCite \textit{V. P. Tanana} and \textit{A. I. Sidikova}, Proc. Steklov Inst. Math. 299, S217--S224 (2017; Zbl 1405.65178); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 1, 263--270 (2016) Full Text: DOI
Tanana, V. P.; Vishnyakov, E. Yu.; Sidikova, A. I. An approximate solution of a Fredholm integral equation of the first kind by the residual method. (Russian, English) Zbl 1349.65722 Sib. Zh. Vychisl. Mat. 19, No. 1, 97-105 (2016); translation in Numer. Analysis Appl. 9, No. 1, 74-81 (2016). MSC: 65R20 65R30 45B05 65M32 35K05 35R30 PDFBibTeX XMLCite \textit{V. P. Tanana} et al., Sib. Zh. Vychisl. Mat. 19, No. 1, 97--105 (2016; Zbl 1349.65722); translation in Numer. Analysis Appl. 9, No. 1, 74--81 (2016) Full Text: DOI
Sidikova, A. I.; Vishnyakov, E. Yu.; Ershova, A. A. Error estimation of approximate solution of integral equation by residual method. (Russian. English summary) Zbl 1335.65104 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 7, No. 3, 39-47 (2015). MSC: 65R20 65R30 45B05 45A05 PDFBibTeX XMLCite \textit{A. I. Sidikova} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 7, No. 3, 39--47 (2015; Zbl 1335.65104) Full Text: MNR
Mirasov, Vadim Faritovich; Sidikova, Anna Ivanovna Approximate solution of inverse boundary problem for the heat exchange by A. N. Tikhonov’s regularization method. (Russian. English summary) Zbl 1343.65118 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 6, No. 2, 5-11 (2014). MSC: 65M32 35K05 65M15 65M30 PDFBibTeX XMLCite \textit{V. F. Mirasov} and \textit{A. I. Sidikova}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 6, No. 2, 5--11 (2014; Zbl 1343.65118) Full Text: MNR
Sidikova, A. I.; Belkov, S. I. Regular approximation for boundary condition in inverse problem of thermal diagnostics. (Russian. English summary) Zbl 1342.65190 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 6, No. 1, 36-41 (2014). MSC: 65M32 65M30 65R20 PDFBibTeX XMLCite \textit{A. I. Sidikova} and \textit{S. I. Belkov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 6, No. 1, 36--41 (2014; Zbl 1342.65190) Full Text: MNR
Sidikova, A. I. On estimated accuracy of the approximate solution of inverse boundary problem for parabolic equation. (Russian. English summary) Zbl 1303.65079 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 6, No. 2, 62-73 (2013). MSC: 65M32 65M30 35K05 35R30 35R25 PDFBibTeX XMLCite \textit{A. I. Sidikova}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 6, No. 2, 62--73 (2013; Zbl 1303.65079)
Tanana, V. P.; Gaĭnova, I. A.; Sidikova, A. I. On an error estimate of an approximate solution to an overdetermined inverse problem of thermodiagnostics. (Russian) Zbl 1324.65120 Sib. Zh. Ind. Mat. 15, No. 1, 145-154 (2012). MSC: 65M32 80A32 35R30 35K05 65M15 92C50 PDFBibTeX XMLCite \textit{V. P. Tanana} et al., Sib. Zh. Ind. Mat. 15, No. 1, 145--154 (2012; Zbl 1324.65120) Full Text: MNR
Tanana, V. P.; Sidikova, A. I. On the order-optimality of a method for evaluating unbounded operators and applications of the method. (Russian) Zbl 1240.65280 Sib. Zh. Ind. Mat. 12, No. 3, 130-140 (2009). MSC: 65M30 35K05 35R25 65J10 65J20 47A52 PDFBibTeX XMLCite \textit{V. P. Tanana} and \textit{A. I. Sidikova}, Sib. Zh. Ind. Mat. 12, No. 3, 130--140 (2009; Zbl 1240.65280)