Gurieva, Y. L.; Il’in, V. P. On coarse grid correction methods in Krylov subspaces. (English. Russian original) Zbl 1406.65019 J. Math. Sci., New York 232, No. 6, 774-782 (2018); translation from Zap. Nauchn. Semin. POMI 463, 44-57 (2017). Reviewer: Georg Hebermehl (Berlin) MSC: 65F10 65F08 65F20 65F35 65F50 65Y05 65N08 65N55 PDFBibTeX XMLCite \textit{Y. L. Gurieva} and \textit{V. P. Il'in}, J. Math. Sci., New York 232, No. 6, 774--782 (2018; Zbl 1406.65019); translation from Zap. Nauchn. Semin. POMI 463, 44--57 (2017) Full Text: DOI
Gasenko, V. G.; Demidov, G. V.; Il’in, V. P.; Shmakov, I. A. Modeling of wave processes in a vapor-liquid medium. (Russian, English) Zbl 1299.76275 Sib. Zh. Vychisl. Mat. 15, No. 3, 261-270 (2012); translation in Numer. Analysis Appl. 5, No. 3, 213-221 (2012). MSC: 76T10 80A20 76M12 PDFBibTeX XMLCite \textit{V. G. Gasenko} et al., Sib. Zh. Vychisl. Mat. 15, No. 3, 261--270 (2012; Zbl 1299.76275); translation in Numer. Analysis Appl. 5, No. 3, 213--221 (2012) Full Text: DOI
Il’in, V. P.; Petukhov, A. V. On numerical solution of the complex Helmholtz equation. (English) Zbl 1115.78016 Russ. J. Numer. Anal. Math. Model. 22, No. 1, 19-37 (2007). MSC: 78M25 65N30 65F10 65F50 PDFBibTeX XMLCite \textit{V. P. Il'in} and \textit{A. V. Petukhov}, Russ. J. Numer. Anal. Math. Model. 22, No. 1, 19--37 (2007; Zbl 1115.78016) Full Text: DOI
Il’in, V. P. On exponential finite volume approximations. (English) Zbl 1042.65068 Russ. J. Numer. Anal. Math. Model. 18, No. 6, 479-506 (2003). MSC: 65M06 65M12 35K15 PDFBibTeX XMLCite \textit{V. P. Il'in}, Russ. J. Numer. Anal. Math. Model. 18, No. 6, 479--506 (2003; Zbl 1042.65068) Full Text: DOI
Il’in, V. P. On numerical solution of direct and inverse problems of geoelectromagnetic exploration. (Russian. English summary) Zbl 1042.86007 Sib. Zh. Vychisl. Mat. 6, No. 4, 381-394 (2003). Reviewer: N. I. Alexandrova (Novosibirsk) MSC: 86A22 86A25 74S10 PDFBibTeX XMLCite \textit{V. P. Il'in}, Sib. Zh. Vychisl. Mat. 6, No. 4, 381--394 (2003; Zbl 1042.86007)
Gur’eva, Ya. L.; Il’in, V. P. On numerical solution of 3-dimensional diffusive-convective boundary-value problems. (Russian) Zbl 1032.65129 Sib. Zh. Ind. Mat. 6, No. 1, 27-34 (2003). MSC: 65N30 65N12 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{Ya. L. Gur'eva} and \textit{V. P. Il'in}, Sib. Zh. Ind. Mat. 6, No. 1, 27--34 (2003; Zbl 1032.65129)
Babin, V. N.; Il’in, V. P.; Pylkin, A. S. On the parallelization of domain decomposition methods for 3-D boundary value problems. (English) Zbl 1011.65097 Malyshkin, Victor (ed.), Parallel computing technologies. 6th international conference, PaCT 2001, Novosibirsk, Russia, September 3-7, 2001. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2127, 385-390 (2001). MSC: 65N55 65N06 65N30 65F10 35J25 PDFBibTeX XMLCite \textit{V. N. Babin} et al., Lect. Notes Comput. Sci. 2127, 385--390 (2001; Zbl 1011.65097)
Il’in, V. P. Finite difference and finite volume methods for elliptic equations. (Metody konechnykh raznostej i konechnykh ob’emov dlya ehllipticheskikh uravnenij.) (Russian) Zbl 1078.65566 Novosibirsk: Izdatel’stvo Instituta Matematiki Im. S. L. Soboleva SO RAN (ISBN 5-86134-087-0/pbk). 344 p. (2000). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 65N06 65-02 65N30 65N12 35J25 65N15 65N50 65F10 65F50 65F05 PDFBibTeX XMLCite \textit{V. P. Il'in}, Metody konechnykh raznostej i konechnykh ob'emov dlya ehllipticheskikh uravnenij (Russian). Novosibirsk: Izdatel'stvo Instituta Matematiki Im. S. L. Soboleva SO RAN (2000; Zbl 1078.65566)
Gurieva, Ya. L.; Il’in, V. P. Multivariant partial solution of linear systems of 5-point equations by the diagonal transfer method. (English) Zbl 0960.65126 Bull. Novosib. Comput. Cent., Ser. Numer. Anal. 2000, No. 9, 45-51 (2000). Reviewer: N.I.Alexandrova (Novosibirsk) MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{Ya. L. Gurieva} and \textit{V. P. Il'in}, Bull. Novosib. Comput. Cent., Ser. Numer. Anal. 2000, No. 9, 45--51 (2000; Zbl 0960.65126)
Gur’eva, Ya. L.; Il’in, V. P. Computational aspects of finite volume methods. (English. Russian original) Zbl 0971.65100 Comput. Math. Math. Phys. 38, No. 11, 1783-1800 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 11, 1860-1876 (1998). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 65N30 65N06 35J25 65N15 PDFBibTeX XMLCite \textit{Ya. L. Gur'eva} and \textit{V. P. Il'in}, Comput. Math. Math. Phys. 38, No. 11, 1783--1800 (1998; Zbl 0971.65100); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 11, 1860--1876 (1998)
Gurieva, Ya. L.; Il’in, V. P. On second-order finite volume approximations for 3D mixed boundary value problems. (English) Zbl 0896.65077 Russ. J. Numer. Anal. Math. Model. 12, No. 6, 481-500 (1997). Reviewer: E.D’yakonov (Moskva) MSC: 65N30 35J25 35J05 65N15 PDFBibTeX XMLCite \textit{Ya. L. Gurieva} and \textit{V. P. Il'in}, Russ. J. Numer. Anal. Math. Model. 12, No. 6, 481--500 (1997; Zbl 0896.65077) Full Text: DOI