Edit Profile (opens in new tab) Kostin, Victor I. Co-Author Distance Author ID: kostin.victor-i Published as: Kostin, V. I.; Kostin, Victor; Kostin, Victor I. more...less Documents Indexed: 29 Publications since 1948, including 4 Books Co-Authors: 23 Co-Authors with 22 Joint Publications 190 Co-Co-Authors all top 5 Co-Authors 7 single-authored 7 Godunov, Sergeĭ Konstantinovich 6 Cheverda, V. A. 6 Tcheverda, Vladimir A. 3 Antonov, A. G. 3 Khaidukov, Valery G. 3 Kirilyuk, O. P. 3 Reshetova, Galina Vitalevna 2 Goldin, Sergei V. 2 Mitchenko, A. D. 1 Belonosov, Mikhail 1 Bulavsky, Vladimir A. 1 Dmitriev, Maxim N. 1 Doledenok, V. G. 1 Glinsky, Boris M. 1 Khajdukov, V. G. 1 Kuchin, Nikolay V. 1 Lisitsa, V. V. 1 Lisitsa, Vadim 1 Malyshev, Alexander N. 1 Neklyudov, D. A. 1 Neklyudov, Dmitry 1 Razzakov, Sh. I. 1 Ryan, Sara 1 Solov’ev, S. A. all top 5 Serials 4 Siberian Mathematical Journal 3 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Journal of Computational Physics 2 Journal of Inverse and Ill-Posed Problems 1 Computational Mathematics and Mathematical Physics 1 Doklady Akademii Nauk 1 Trudy Seminara po Vektornomu i Tenzornomu Analizu 1 Doklady Mathematics 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Bulletin of the Novosibirsk Computing Center. Series: Mathematical Modeling in Geophysics 1 Matematicheskoe Modelirovanie 1 International Journal of Pure and Applied Mathematics 1 Mathematics and its Applications (Dordrecht) all top 5 Fields 18 Numerical analysis (65-XX) 13 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 4 Geophysics (86-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 13 Publications have been cited 68 times in 59 Documents Cited by ▼ Year ▼ Guaranteed accuracy in numerical linear algebra. Updated and rev. transl. of the original work ’The guaranteed precision of linear equations solutions in Euclidean spaces’, publ. by Nauka 1992. Zbl 0793.65014 Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I. 13 1993 Guaranteed precision in the solution of systems of linear equations in Euclidean spaces. Ed. by V. A. Bulavskij. (Гарантированная точност’ решения систем линейных уравнений в евклидовых пространствах.) Zbl 0665.65022 Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I. 12 1988 Guaranteed precision in the solution of systems of linear equations in Euclidean spaces. 2nd ed., rev. and compl. (Гарантированная точност’ решения систем линейных уравнений в евклидовых пространствах.) Zbl 0825.65001 Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I. 10 1992 Local time-space mesh refinement for simulation of elastic wave propagation in multi-scale media. Zbl 1351.74047 Kostin, Victor; Lisitsa, Vadim; Reshetova, Galina; Tcheverda, Vladimir 6 2015 \(r\)-pseudoinverse for compact operators in Hilbert spaces: Existence and stability. Zbl 0841.65038 Cheverda, V. A.; Kostin, V. I. 4 1995 Computation of an eigenvector of a symmetric tridiagonal matrix. Zbl 0595.65036 Godunov, S. K.; Kostin, V. I.; Mitchenko, A. D. 4 1985 An iterative solver for the 3D Helmholtz equation. Zbl 1378.35088 Belonosov, Mikhail; Dmitriev, Maxim; Kostin, Victor; Neklyudov, Dmitry; Tcheverda, Vladimir 4 2017 Reduction of a hyperbolic equation to a symmetric hyperbolic system in case of two spatial variables. Zbl 0455.35081 Godunov, S. K.; Kostin, V. I. 3 1980 Reduction of a hyperbolic equation to a symmetric hyperbolic system in the case of two space variables. Zbl 0461.35057 Godunov, S. K.; Kostin, V. I. 3 1981 Computation of the eigenvector of a symmetric tridiagonal matrix. Zbl 0581.65026 Godunov, S. K.; Kostin, V. I.; Mitchenko, A. D. 3 1985 Convergence of the orthogonal-power method for the calculation of the spectrum. Zbl 0597.65025 Kostin, V. I.; Razzakov, Sh. I. 3 1985 Finite difference simulation of elastic waves propagation through 3D heterogeneous multiscale media based on locally refined grids. Zbl 1299.86017 Kostin, V. I.; Lisitsa, V. V.; Reshetova, G. V.; Cheverda, V. A. 2 2013 On symmetrization of hyperbolic operators. Zbl 0494.35060 Kostin, V. I. 1 1980 An iterative solver for the 3D Helmholtz equation. Zbl 1378.35088 Belonosov, Mikhail; Dmitriev, Maxim; Kostin, Victor; Neklyudov, Dmitry; Tcheverda, Vladimir 4 2017 Local time-space mesh refinement for simulation of elastic wave propagation in multi-scale media. Zbl 1351.74047 Kostin, Victor; Lisitsa, Vadim; Reshetova, Galina; Tcheverda, Vladimir 6 2015 Finite difference simulation of elastic waves propagation through 3D heterogeneous multiscale media based on locally refined grids. Zbl 1299.86017 Kostin, V. I.; Lisitsa, V. V.; Reshetova, G. V.; Cheverda, V. A. 2 2013 \(r\)-pseudoinverse for compact operators in Hilbert spaces: Existence and stability. Zbl 0841.65038 Cheverda, V. A.; Kostin, V. I. 4 1995 Guaranteed accuracy in numerical linear algebra. Updated and rev. transl. of the original work ’The guaranteed precision of linear equations solutions in Euclidean spaces’, publ. by Nauka 1992. Zbl 0793.65014 Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I. 13 1993 Guaranteed precision in the solution of systems of linear equations in Euclidean spaces. 2nd ed., rev. and compl. (Гарантированная точност’ решения систем линейных уравнений в евклидовых пространствах.) Zbl 0825.65001 Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I. 10 1992 Guaranteed precision in the solution of systems of linear equations in Euclidean spaces. Ed. by V. A. Bulavskij. (Гарантированная точност’ решения систем линейных уравнений в евклидовых пространствах.) Zbl 0665.65022 Godunov, S. K.; Antonov, A. G.; Kirilyuk, O. P.; Kostin, V. I. 12 1988 Computation of an eigenvector of a symmetric tridiagonal matrix. Zbl 0595.65036 Godunov, S. K.; Kostin, V. I.; Mitchenko, A. D. 4 1985 Computation of the eigenvector of a symmetric tridiagonal matrix. Zbl 0581.65026 Godunov, S. K.; Kostin, V. I.; Mitchenko, A. D. 3 1985 Convergence of the orthogonal-power method for the calculation of the spectrum. Zbl 0597.65025 Kostin, V. I.; Razzakov, Sh. I. 3 1985 Reduction of a hyperbolic equation to a symmetric hyperbolic system in the case of two space variables. Zbl 0461.35057 Godunov, S. K.; Kostin, V. I. 3 1981 Reduction of a hyperbolic equation to a symmetric hyperbolic system in case of two spatial variables. Zbl 0455.35081 Godunov, S. K.; Kostin, V. I. 3 1980 On symmetrization of hyperbolic operators. Zbl 0494.35060 Kostin, V. I. 1 1980 all cited Publications top 5 cited Publications all top 5 Cited by 88 Authors 7 Belykh, Vladimir Nikitich 3 Dhillon, Inderjit S. 3 Godunov, Sergeĭ Konstantinovich 3 Malyshev, Alexander N. 3 Nazarov, Vasiliĭ Gennadievich 3 Vaskevich, Vladimir Leont’evich 2 Babenko, Viktor Nikolaevich 2 Kabanikhin, Sergeĭ Igorevich 2 Khimich, A. N. 2 Lisitsa, Vadim 2 Penenko, Alexey V. 1 Alharbi, Fahhad H. 1 Anisimova, Anastasiya S. 1 Blokhin, Aleksandr Mikhaĭlovich 1 Botter, Charlotte 1 Brushlinskij, K. V. 1 Chabory, Alexandre 1 Chistyakov, Viktor Filimonovich 1 Chistyakova, Elena Viktorovna 1 Cho, Sang-Soon 1 Chumakov, Gennadiĭ Aleksandrovich 1 Chung, Tsz Shun Eric 1 Demidenko, Gennadiĭ Vladimirovich 1 Douvenot, Rémi 1 Efendiev, Yalchin R. 1 Frommer, Andreas 1 Gibson jun., Richard L. 1 Gordienko, Valeriĭ M. 1 Grammont, Laurence 1 Großer, Benedikt 1 Hou, Zujun 1 Jacob, Birgit 1 Jeong, Nayoung 1 Kang, Sungkwon 1 Kasenov, S. E. 1 Khokhlov, Nikolay I. 1 Kiselev, Sergey P. 1 Kolman, Radek 1 Kostin, Victor I. 1 Kraiko, A. N. 1 Krivorotko, Olga I. 1 Kruglova, E. A. 1 Kulikovskiĭ, Andreĭ Gennad’evich 1 Kuznetsov, Sergey V. 1 Laevskiĭ, Yuriĭ Mironovich 1 Lang, Bruno 1 Largillier, Alain 1 Lashina, Elena Aleksandrovna 1 Lee, Ju-Hyun 1 Li, Changshi 1 Lisitsa, V. V. 1 Mali, V. I. 1 Malovichko, Mikhail 1 Matsekh, Anna M. 1 Nikolaevskaya, E. A. 1 Nurseitov, Daniyar B. 1 Nurseitova, A. T. 1 Park, Kwang-Chun 1 Parlett, Beresford Neill 1 Polyakova, Anna Petrovna 1 Pukhnachov, Vladislav Vasil’evich 1 Ryaben’kiĭ, Viktor Solomonovich 1 Selivanov, Viktor L’vovich 1 Selivanova, Svetlana V. 1 Semisalov, Boris Vladimirovich 1 Sergiyenko, Ivan Vasyl’ovych 1 Shishlenin, Maxim Aleksandrovich 1 Shtykel’, T. L. 1 Shukuzawa, Osamu 1 Suzuki, Toshio 1 Svetov, Ivan Evgenyevich 1 Tcheverda, Vladimir A. 1 Tyshchenko, A. V. 1 Vasilyeva, Maria V. 1 Vishnevsky, D. M. 1 Vorberg, Lukas A. 1 Voronina, Tat’yana Aleksandrovna 1 Wang, Fengru 1 Wyss, Christian 1 Yakovlev, M. F. 1 Yang, Jerry Zhijian 1 Yavich, Nikolay 1 Yokota, Ichiro 1 Yuan, Cheng 1 Zelenyak, Tadeĭ Ivanovich 1 Zhdanov, Michael S. 1 Zhou, Hang 1 Zwaan, Ian N. all top 5 Cited in 35 Serials 11 Siberian Mathematical Journal 5 Sibirskie Èlektronnye Matematicheskie Izvestiya 4 Computational Mathematics and Mathematical Physics 4 Linear Algebra and its Applications 3 Journal of Computational Physics 2 Computers & Mathematics with Applications 2 Cybernetics and Systems Analysis 1 Inverse Problems 1 Russian Mathematical Surveys 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 BIT 1 Integral Equations and Operator Theory 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Proceedings of the Japan Academy. Series A 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Applied Mathematical Modelling 1 Pattern Recognition 1 Journal of Mathematical Sciences (New York) 1 Journal of Inverse and Ill-Posed Problems 1 Doklady Mathematics 1 Honam Mathematical Journal 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Matematicheskie Trudy 1 Lobachevskii Journal of Mathematics 1 Journal of Applied Mathematics 1 Inverse Problems and Imaging 1 Numerical Mathematics: Theory, Methods and Applications 1 GEM - International Journal on Geomathematics 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Computability all top 5 Cited in 21 Fields 41 Numerical analysis (65-XX) 19 Partial differential equations (35-XX) 7 Optics, electromagnetic theory (78-XX) 6 Ordinary differential equations (34-XX) 6 Geophysics (86-XX) 4 Operator theory (47-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year