Zhang, Dong; Jiang, Tongsong; Jiang, Chuan; Wang, Gang A complex structure-preserving algorithm for computing the singular value decomposition of a quaternion matrix and its applications. (English) Zbl 07785648 Numer. Algorithms 95, No. 1, 267-283 (2024). MSC: 65F15 PDFBibTeX XMLCite \textit{D. Zhang} et al., Numer. Algorithms 95, No. 1, 267--283 (2024; Zbl 07785648) Full Text: DOI
Ammosov, Dmitry; Nasedkin, Andrey; Muratova, Galina A computational macroscopic model of piezomagnetoelectric materials using generalized multiscale finite element method. (English) Zbl 1522.74099 J. Comput. Appl. Math. 437, Article ID 115420, 22 p. (2024). MSC: 74S05 65M60 74F15 PDFBibTeX XMLCite \textit{D. Ammosov} et al., J. Comput. Appl. Math. 437, Article ID 115420, 22 p. (2024; Zbl 1522.74099) Full Text: DOI
Shi, Xiulian; Wang, Keyan; Sun, Hui Spectral collocation methods for fractional multipantograph delay differential equations. (English) Zbl 07796575 Lith. Math. J. 63, No. 4, 505-523 (2023). MSC: 65M70 65D32 65M60 65T60 65M12 65M15 45D05 35R07 26A33 35R11 PDFBibTeX XMLCite \textit{X. Shi} et al., Lith. Math. J. 63, No. 4, 505--523 (2023; Zbl 07796575) Full Text: DOI
Nikiforov, Djulustan Meshfree generalized multiscale finite element method. (English) Zbl 07640555 J. Comput. Phys. 474, Article ID 111798, 14 p. (2023). MSC: 65Nxx 76Mxx 76Sxx PDFBibTeX XMLCite \textit{D. Nikiforov}, J. Comput. Phys. 474, Article ID 111798, 14 p. (2023; Zbl 07640555) Full Text: DOI
Tyrylgin, Aleksei; Vasilyeva, Maria; Alikhanov, Anatoly; Sheen, Dongwoo A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media. (English) Zbl 1502.65146 J. Comput. Appl. Math. 418, Article ID 114670, 18 p. (2023). MSC: 65M60 65M06 65N30 65M15 76S05 74F10 74L10 74R10 76M10 76M20 74S05 74S20 35Q35 35Q74 26A33 35R11 PDFBibTeX XMLCite \textit{A. Tyrylgin} et al., J. Comput. Appl. Math. 418, Article ID 114670, 18 p. (2023; Zbl 1502.65146) Full Text: DOI arXiv
Spiridonov, Denis; Stepanov, Sergei; Vasiliy, Vasil’ev An online generalized multiscale finite element method for heat and mass transfer problem with artificial ground freezing. (English) Zbl 1502.65141 J. Comput. Appl. Math. 417, Article ID 114561, 15 p. (2023). MSC: 65M60 65M06 65N30 65M15 80A22 80A19 76S05 80M10 80M20 PDFBibTeX XMLCite \textit{D. Spiridonov} et al., J. Comput. Appl. Math. 417, Article ID 114561, 15 p. (2023; Zbl 1502.65141) Full Text: DOI arXiv
Denisov, A. M.; Solov’eva, S. I. Numerical methods for determining the coefficient and the source term in the heat equation. (English. Russian original) Zbl 07818382 Comput. Math. Model. 33, No. 4, 389-400 (2022); translation from Prikl. Mat. Inf. 72, 4-15 (2023). MSC: 35-XX 65-XX PDFBibTeX XMLCite \textit{A. M. Denisov} and \textit{S. I. Solov'eva}, Comput. Math. Model. 33, No. 4, 389--400 (2022; Zbl 07818382); translation from Prikl. Mat. Inf. 72, 4--15 (2023) Full Text: DOI
Aliev, Araz Rafig oglu; Gamzaev, Khanlar Mekhvali oglu; Darwish, Adel’ Abdelfattakh; Nofal, Takher Abdekhamed Numerical method for solving the inverse problem of non-stationary flow of viscoelastic fluid in the pipe. (English) Zbl 1507.65159 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 4, 90-98 (2022). MSC: 65M32 76A10 PDFBibTeX XMLCite \textit{A. R. o. Aliev} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 4, 90--98 (2022; Zbl 1507.65159) Full Text: DOI MNR
Ding, Wenxv; Li, Ying; Wei, Anli; Fan, Xueling; Zhang, Mingcui \(\mathcal{L_C}\) structure-preserving method based on semi-tensor product of matrices for the QR decomposition in quaternionic quantum theory. (English) Zbl 1518.65047 Comput. Appl. Math. 41, No. 8, Paper No. 397, 15 p. (2022). MSC: 65F99 15A23 15B33 15A69 PDFBibTeX XMLCite \textit{W. Ding} et al., Comput. Appl. Math. 41, No. 8, Paper No. 397, 15 p. (2022; Zbl 1518.65047) Full Text: DOI
Denisov, A. M.; Solov’eva, S. I. Determining the intensity variation of heat sources in the heat equation. (English. Russian original) Zbl 1501.35454 Comput. Math. Model. 33, No. 1, 1-8 (2022); translation from Prikl. Mat. Inf. 69, 4-12 (2022). MSC: 35R30 65M32 PDFBibTeX XMLCite \textit{A. M. Denisov} and \textit{S. I. Solov'eva}, Comput. Math. Model. 33, No. 1, 1--8 (2022; Zbl 1501.35454); translation from Prikl. Mat. Inf. 69, 4--12 (2022) Full Text: DOI
Wang, Yifei; Huang, Jin; Zhang, Li; Deng, Ting A combination method for solving multi-dimensional systems of Volterra integral equations with weakly singular kernels. (English) Zbl 1501.65160 Numer. Algorithms 91, No. 2, 473-504 (2022). MSC: 65R20 11B68 45G15 45D05 PDFBibTeX XMLCite \textit{Y. Wang} et al., Numer. Algorithms 91, No. 2, 473--504 (2022; Zbl 1501.65160) Full Text: DOI
Spiridonov, Denis; Vasilyeva, Maria; Wang, Min; Chung, Eric T. Mixed generalized multiscale finite element method for flow problem in thin domains. (English) Zbl 1502.65216 J. Comput. Appl. Math. 416, Article ID 114577, 17 p. (2022). MSC: 65N30 65N35 65N12 65N15 76A20 76S05 76M10 PDFBibTeX XMLCite \textit{D. Spiridonov} et al., J. Comput. Appl. Math. 416, Article ID 114577, 17 p. (2022; Zbl 1502.65216) Full Text: DOI arXiv
Fu, Shubin; Zhang, Zhidong Application of the generalized multiscale finite element method in an inverse random source problem. (English) Zbl 07500762 J. Comput. Phys. 429, Article ID 110032, 17 p. (2021). MSC: 35Rxx 65Nxx 35Bxx PDFBibTeX XMLCite \textit{S. Fu} and \textit{Z. Zhang}, J. Comput. Phys. 429, Article ID 110032, 17 p. (2021; Zbl 07500762) Full Text: DOI
Su, L. D.; Vasil’ev, V. I.; Jiang, T. S.; Wang, G. Identification of stationary source in the anomalous diffusion equation. (English) Zbl 07484763 Inverse Probl. Sci. Eng. 29, No. 13, 3406-3422 (2021). MSC: 65M30 35R11 PDFBibTeX XMLCite \textit{L. D. Su} et al., Inverse Probl. Sci. Eng. 29, No. 13, 3406--3422 (2021; Zbl 07484763) Full Text: DOI
Vasil’ev, V. I.; Vasil’eva, M. V.; Nikiforov, D. Ya.; Sidnyaev, N. I.; Stepanov, S. P.; Tseeva, A. N. Computational implementation of a mixed-dimensional model of heat transfer in the soil-pipe system in cryolithic zone. (English. Russian original) Zbl 1480.80013 Comput. Math. Math. Phys. 61, No. 12, 2054-2067 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 12, 2060-2073 (2021). MSC: 80A22 80A19 76S05 80M10 80M20 76M10 76M20 65M60 65M06 65N30 65F05 65F50 PDFBibTeX XMLCite \textit{V. I. Vasil'ev} et al., Comput. Math. Math. Phys. 61, No. 12, 2054--2067 (2021; Zbl 1480.80013); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 12, 2060--2073 (2021) Full Text: DOI
Vabishchevich, Petr N. Identification of a time-dependent right-hand side of an unsteady equation with a fractional power of an elliptic operator. (English) Zbl 07223016 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 12th international conference, LSSC 2019, Sozopol, Bulgaria, June 10–14, 2019. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11958, 105-112 (2020). MSC: 65-XX PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Lect. Notes Comput. Sci. 11958, 105--112 (2020; Zbl 07223016) Full Text: DOI
Vasilyeva, Maria; Stepanov, Sergei; Spiridonov, Denis; Vasil’ev, Vasiliy Multiscale finite element method for heat transfer problem during artificial ground freezing. (English) Zbl 1430.80014 J. Comput. Appl. Math. 371, Article ID 112605, 11 p. (2020). MSC: 80M10 80A19 65N30 76S05 76M10 80A22 35Q79 PDFBibTeX XMLCite \textit{M. Vasilyeva} et al., J. Comput. Appl. Math. 371, Article ID 112605, 11 p. (2020; Zbl 1430.80014) Full Text: DOI
Gladky, A. V.; Gladka, Y. A. A splitting scheme for diffusion and heat conduction problems. (English. Russian original) Zbl 1433.65158 Cybern. Syst. Anal. 55, No. 6, 988-998 (2019); translation from Kibern. Sist. Anal. 2019, No. 6, 122-133 (2019). MSC: 65M06 80M20 65M32 35K05 93C20 PDFBibTeX XMLCite \textit{A. V. Gladky} and \textit{Y. A. Gladka}, Cybern. Syst. Anal. 55, No. 6, 988--998 (2019; Zbl 1433.65158); translation from Kibern. Sist. Anal. 2019, No. 6, 122--133 (2019) Full Text: DOI
Vabishchevich, P. N. Computational identification of the time dependence of the right-hand side of a hyperbolic equation. (English. Russian original) Zbl 1433.65199 Comput. Math. Math. Phys. 59, No. 9, 1475-1483 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1537-1545 (2019). MSC: 65M32 65M06 65M60 65N30 35L20 PDFBibTeX XMLCite \textit{P. N. Vabishchevich}, Comput. Math. Math. Phys. 59, No. 9, 1475--1483 (2019; Zbl 1433.65199); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1537--1545 (2019) Full Text: DOI
Ismailov, M. I.; Erkovan, S. Inverse problem of finding the coefficient of the lowest term in two-dimensional heat equation with Ionkin-type boundary condition. (English) Zbl 1430.80010 Comput. Math. Math. Phys. 59, No. 5, 791-808 (2019). MSC: 80A23 80A19 35K10 45D05 35A01 35Q92 35Q79 35P05 80M20 65M06 65D32 PDFBibTeX XMLCite \textit{M. I. Ismailov} and \textit{S. Erkovan}, Comput. Math. Math. Phys. 59, No. 5, 791--808 (2019; Zbl 1430.80010) Full Text: DOI arXiv
Ashyralyev, Allaberen; Erdogan, Abdullah Said; Sazaklioglu, Ali Ugur Numerical solution of a source identification problem: almost coercivity. (English) Zbl 1418.65090 J. Inverse Ill-Posed Probl. 27, No. 4, 457-468 (2019). MSC: 65L12 65L09 65L20 PDFBibTeX XMLCite \textit{A. Ashyralyev} et al., J. Inverse Ill-Posed Probl. 27, No. 4, 457--468 (2019; Zbl 1418.65090) Full Text: DOI
Vasil’ev, V. I.; Popov, V. V.; Kardashevsky, A. M. Conjugate gradient method for identification of a spacewise heat source. (English) Zbl 1476.65220 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 11th international conference, LSSC 2017, Sozopol, Bulgaria, June 5–9, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10665, 600-607 (2018). MSC: 65M32 35K05 35K20 35R30 65M22 80A23 PDFBibTeX XMLCite \textit{V. I. Vasil'ev} et al., Lect. Notes Comput. Sci. 10665, 600--607 (2018; Zbl 1476.65220) Full Text: DOI
Gamzaev, Kh. M.; Huseynzade, S. O.; Gasimov, G. G. A numerical method to solve identification problem for the lower coefficient and the source in the convection-reaction equation. (English. Russian original) Zbl 1411.65124 Cybern. Syst. Anal. 54, No. 6, 971-976 (2018); translation from Kibern. Sist. Anal. 2018, No. 6, 134-140 (2018). MSC: 65M32 65N21 35K57 PDFBibTeX XMLCite \textit{Kh. M. Gamzaev} et al., Cybern. Syst. Anal. 54, No. 6, 971--976 (2018; Zbl 1411.65124); translation from Kibern. Sist. Anal. 2018, No. 6, 134--140 (2018) Full Text: DOI
Nekrasov, S. A. Solution of boundary problems with regard for inherent error on the basis of the Lagrange method. (English. Russian original) Zbl 1406.93143 Autom. Remote Control 79, No. 11, 2018-2032 (2018); translation from Avtom. Telemekh. 2018, No. 11, 82-98 (2018). MSC: 93C20 80A22 35R35 93A30 65N06 PDFBibTeX XMLCite \textit{S. A. Nekrasov}, Autom. Remote Control 79, No. 11, 2018--2032 (2018; Zbl 1406.93143); translation from Avtom. Telemekh. 2018, No. 11, 82--98 (2018) Full Text: DOI
Vasil’ev, V. I.; Kardashevskiĭ, A. M. Numerical solution of the retrospective inverse problem of heat conduction with the help of the Poisson integral. (Russian, English) Zbl 1413.65356 Sib. Zh. Ind. Mat. 21, No. 3, 26-36 (2018); translation in J. Appl. Ind. Math. 12, No. 3, 577-586 (2018). MSC: 65M32 80A23 35R30 65M12 65D32 PDFBibTeX XMLCite \textit{V. I. Vasil'ev} and \textit{A. M. Kardashevskiĭ}, Sib. Zh. Ind. Mat. 21, No. 3, 26--36 (2018; Zbl 1413.65356); translation in J. Appl. Ind. Math. 12, No. 3, 577--586 (2018) Full Text: DOI
Prokopev, Georgiy Anatolyevich; Vasil’ev, Vasilii Ivanovich; Kardashevsky, Anatoly Mikhailovich; Sivtsev, Petr Vasilievich Numerical solution of the inverse Cauchy problem for the elliptic equation. (Russian. English summary) Zbl 1373.65066 Sib. Èlektron. Mat. Izv. 14, 308-316 (2017). MSC: 65M32 35J05 65M06 65M30 PDFBibTeX XMLCite \textit{G. A. Prokopev} et al., Sib. Èlektron. Mat. Izv. 14, 308--316 (2017; Zbl 1373.65066) Full Text: DOI
Su, LingDe; Vabishchevish, P. N.; Vasil’ev, V. I. The inverse problem of the simultaneous determination of the right-hand side and the lowest coefficients in parabolic equations. (English) Zbl 1368.65175 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 633-639 (2017). MSC: 65M32 35R30 35K20 65M06 PDFBibTeX XMLCite \textit{L. Su} et al., Lect. Notes Comput. Sci. 10187, 633--639 (2017; Zbl 1368.65175) Full Text: DOI
Vabishchevich, P. N.; Vasil’ev, V. I.; Vasil’eva, M. V.; Nikiforov, D. Ya. Numerical solution of an inverse filtration problem. (English) Zbl 1431.65158 Lobachevskii J. Math. 37, No. 6, 777-786 (2016) ; translation from Uch. Zap. Kazan. Univ. Ser. Fiz.-Mat. Nauki 157, No. 4, 79-89 (2015). MSC: 65M32 76M10 76S05 PDFBibTeX XMLCite \textit{P. N. Vabishchevich} et al., Lobachevskii J. Math. 37, No. 6, 777--786 (2016; Zbl 1431.65158); translation from Uch. Zap. Kazan. Univ. Ser. Fiz.-Mat. Nauki 157, No. 4, 79--89 (2015) Full Text: DOI
Vasil’ev, V. I.; Vasil’eva, M. V.; Kardashevsky, A. M.; Nikiforov, D. Ya. Computational identification of the right hand side of the parabolic equations in problems of filtration. (English) Zbl 1465.65091 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 10th international conference, LSSC 2015, Sozopol, Bulgaria, June 8–12, 2015. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 9374, 80-87 (2015). MSC: 65M32 65M06 76S05 76N99 35K20 PDFBibTeX XMLCite \textit{V. I. Vasil'ev} et al., Lect. Notes Comput. Sci. 9374, 80--87 (2015; Zbl 1465.65091) Full Text: DOI
Lange, Tatjana; Mosler, Karl; Mozharovskyi, Pavlo Fast nonparametric classification based on data depth. (English) Zbl 1283.62128 Stat. Pap. 55, No. 1, 49-69 (2014). MSC: 62H30 62G99 65C60 68T05 PDFBibTeX XMLCite \textit{T. Lange} et al., Stat. Pap. 55, No. 1, 49--69 (2014; Zbl 1283.62128) Full Text: DOI arXiv
Ying, Lung-an Vortex method for two-dimensional Euler equations in bounded domains with boundary correction. (English) Zbl 0899.76294 Math. Comput. 67, No. 224, 1383-1400 (1998). MSC: 76M25 76B47 65M12 65M15 PDFBibTeX XMLCite \textit{L.-a. Ying}, Math. Comput. 67, No. 224, 1383--1400 (1998; Zbl 0899.76294) Full Text: DOI