Образец цитирования:
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P.A. Bakhvalov, M.D. Surnachev, “On the stability of finite-volume schemes on non-uniform meshes”, Mathematics and Computers in Simulation, 2025
Benjamin Boutin, Pierre Le Barbenchon, Nicolas Seguin, “On the stability of totally upwind schemes for the hyperbolic initial boundary value problem”, IMA Journal of Numerical Analysis, 44:2 (2024), 1211
Xianyi Zeng, Md Mahmudul Hasan, “On the stability of explicit finite difference methods for advection–diffusion equations”, Numerical Methods Partial, 39:1 (2023), 421
Hong Zhang, Zhengyu Liu, Emil Constantinescu, Robert Jacob, “Stability Analysis of Coupled Advection-Diffusion Models with Bulk Interface Condition”, J Sci Comput, 93:1 (2022)
Hong Zhang, Zhengyu Liu, Emil Constantinescu, Robert Jacob, “Stability Analysis of Interface Conditions for Ocean–Atmosphere Coupling”, J Sci Comput, 84:3 (2020)
Mahmut Okuducu, Mustafa Aral, “Performance Analysis and Numerical Evaluation of Mixing in 3-D T-Shape Passive Micromixers”, Micromachines, 9:5 (2018), 210
Владимир Никитич Белых, V.N.ikitich Belykh, Константин Владимирович Брушлинский, “Сергею Константиновичу Годунову 85 лет”, Успехи математических наук, 70:3(423) (2015), 183
С. К. Годунов, В. Т. Жуков, М. И. Лазарев, И. Л. Софронов, В. И. Турчанинов, А. С. Холодов, С. В. Цынков, Б. Н. Четверушкин, Е. Ю. Эпштейн, “Виктор Соломонович Рябенький и его школа (к девяностолетию со
дня рождения)”, УМН, 70:6(426) (2015), 213–236; S. K. Godunov, V. T. Zhukov, M. I. Lazarev, I. L. Sofronov, V. I. Turchaninov, A. S. Kholodov, S. V. Tsynkov, B. N. Chetverushkin, Ye. Yu. Epshteyn, “Viktor Solomonovich Ryaben'kii and his school (on his 90th birthday)”, Russian Math. Surveys, 70:6 (2015), 1183–1210
К. В. Брушлинский, В. Г. Жуков, М. К. Керимов, “К 80-летию со дня рождения академика Сергея Константиновича Годунова”, Ж. вычисл. матем. и матем. физ., 50:1 (2010), 3–9; K. V. Brushlinskiǐ, V. G. Zhukov, M. K. Kerimov, “Academician SergeĭKonstantinovich Godunov (on the occasion of his eightieth birthday)”, Comput. Math. Math. Phys., 50:1 (2010), 1–6
Adrian Sescu, Abdollah A. Afjeh, Ray Hixon, Carmen Sescu, “Conditionally Stable Multidimensional Schemes for Advective Equations”, J Sci Comput, 2009
Adrian Sescu, Ray Hixon, Carmen Sescu, Abdollah Afjeh, 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition, 2009
Ercília Sousa, “Stability Analysis of Difference Methods for Parabolic Initial Value Problems”, J Sci Comput, 26:1 (2006), 45
David Zingg, Matthew Lederle, 17th AIAA Computational Fluid Dynamics Conference, 2005
Ercília Sousa, Ian Sobey, “On the influence of numerical boundary conditions”, Applied Numerical Mathematics, 41:2 (2002), 325
Е. И. Пармузин, В. П. Шутяев, “О численных алгоритмах решения одной задачи об усвоении данных”, Ж. вычисл. матем. и матем. физ., 37:7 (1997), 816–827; E. I. Parmuzin, V. P. Shutyaev, “Algorithms for solving a problem of data assimilation”, Comput. Math. Math. Phys., 37:7 (1997), 792–803
Lesław K. Bieniasz, Ole Østerby, Dieter Britz, “Numerical stability of finite difference algorithms for electrochemical kinetic simulations: Matrix stability analysis of the classic explicit, fully implicit and Crank-Nicolson methods and typical problems involving mixed boundary conditions”, Computers & Chemistry, 19:2 (1995), 121
Richard M. Beam, Robert F. Warming, “The Asymptotic Spectra of Banded Toeplitz and Quasi-Toeplitz Matrices”, SIAM J Sci Comput, 14:4 (1993), 971
С. А. Ломов, А. Г. Елисеев, “Асимптотическое интегрирование сингулярно возмущенных задач”, УМН, 43:3(261) (1988), 3–53; S. A. Lomov, A. G. Eliseev, “Asymptotic integration of singularly perturbed problems”, Russian Math. Surveys, 43:3 (1988), 1–63
Robert F. Warming, Richard M. Beam, Numerical Mathematics and Applications, 1986, 171
Robert F. Warming, Richard M. Beam, Lecture Notes in Physics, 264, Tenth International Conference on Numerical Methods in Fluid Dynamics, 1986, 647