High order of occuracy schemes, high performance computing
Main publications:
R. V. Zhalnin, N. V. Zmitrenko, M. E. Ladonkina, V. F. Tishkin, “Chislennoe modelirovanie razvitiya neustoichivosti Rikhtmaiera–Meshkova s ispolzovaniem skhem vysokogo poryadka tochnosti”, Matematicheskoe modelirovanie, 19:10 (2007), 61–66
R. V. Zhalnin, M. E. Ladonkina, V. F. Masyagin, V. F. Tishkin, “Reshenie zadach o nestatsionarnoi filtratsii veschestva s pomoschyu razryvnogo metoda Galerkina na nestrukturirovannykh setkakh”, Zh. vychisl. matem. i matem. fiz., 56:6 (2016), 989–998; Comput. Math. Math. Phys., 56:6 (2016), 977–986
R. V. Zhalnin, E. E. Peskova, O. A. Stadnichenko, V. F. Tishkin, “Modelirovanie techeniya mnogokomponentnogo reagiruyuschego gaza s ispolzovaniem algoritmov vysokogo poryadka tochnosti”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 27:4 (2017), 608–617
I. M. Gubaidullin, R. V. Zhalnin, V. F. Masyagin, E. E. Peskova, V. F. Tishkin, “Chislennoe modelirovanie piroliza propana v protochnom khimicheskom reaktore pod vozdeistviem postoyannogo vneshnego nagreva”, Matem. modelirovanie, 32:9 (2020), 119–130
R. V. Zhalnin, V. F. Masyagin, E. E. Peskova, V. F. Tishkin, “Modelirovanie razvitiya neustoichivosti Rikhtmaiera–Meshkova s ispolzovaniem razryvnogo metoda Galerkina na lokalno-adaptivnykh setkakh”, Matem. modelirovanie, 32:10 (2020), 34–46
R. V. Zhalnin, A. I. Kulyagin, M. S. Nefedov, “Application of computational algorithms with higher order of accuracy to the modeling of two-dimensional problems on development of hydrodynamic instability”, Zhurnal SVMO, 26:2 (2024), 143–156
2023
2.
E. E. Peskova, V. N. Snytnikov, R. V. Zhalnin, “The computational algorithm for studying internal laminar flows of a multicomponent gas with different-scale chemical processes”, Computer Research and Modeling, 15:5 (2023), 1169–1187
R. V. Zhalnin, V. F. Masyagin, V. F. Tishkin, “Solving two-dimensional problems of gas dynamics using an implicit scheme for the discontinuous Galerkin method on unstructured triangular grids”, Sib. Zh. Vychisl. Mat., 25:1 (2022), 19–32
4.
V. F. Masyagin, R. V. Zhalnin, V. F. Tishkin, “Application of an implicit scheme of the discontinuous Galerkin method to solving gas dynamics problems on NVIDIA graphic accelerators”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:2 (2022), 86–99
2021
5.
V. F. Masyagin, R. V. Zhalnin, M. E. Ladonkina, O. N. Terekhina, V. F. Tishkin, “Application of the entropic slope limiter for solving gas dynamics equations using the implicit scheme of the discontinuous Galerkin method”, Keldysh Institute preprints, 2021, 007, 18 pp.
2020
6.
R. V. Zhalnin, V. F. Masyagin, E. E. Peskova, V. F. Tishkin, “Modeling of Richtmyer–Meshkov instability development using the discontinuous Galerkin method and local-adaptive meshes”, Matem. Mod., 32:10 (2020), 34–46; Math. Models Comput. Simul., 13:3 (2021), 474–482
I. M. Gubaydullin, R. V. Zhalnin, V. F. Masyagin, E. E. Peskova, V. F. Tishkin, “Numerical simulation of propane pyrolysis in a flow chemical reactor under the influence of constant external heating”, Matem. Mod., 32:9 (2020), 119–130; Math. Models Comput. Simul., 13:3 (2021), 437–444
A. R. Bagapov, R. V. Zhalnin, “Modeling of acoustic fields during gas flow around bodies”, Zhurnal SVMO, 22:3 (2020), 333–351
9.
R. V. Zhalnin, N. A. Kuzmin, V. F. Masyagin, “Development of a parallel algorithm based on an implicit scheme for the discontinuous Galerkin method for solving diffusion type equations”, Zhurnal SVMO, 22:1 (2020), 94–106
10.
R. V. Zhalnin, V. F. Masyagin, E. E. Peskova, V. F. Tishkin, “A priori error estimates of the local discontinuous Galerkin method on staggered grids
for solving a parabolic equation for the homogeneous Dirichlet problem”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 24:1 (2020), 116–136
R. V. Zhalnin, V. F. Masyagin, E. E. Peskova, V. F. Tishkin, “Application of discontinuous Galerkin method to modeling of two-dimensional flows of a multicomponent ideal gases mixture using local adaptive mesh refinement”, Zhurnal SVMO, 21:2 (2019), 244–258
12.
A. A. Kosov, A. V. Shchennikov, E. V. Shchennikova, R. V. Zhalnin, P. A. Shamanaev, “Review of the works of V. N. Shchennikova on the study of the convergence of nonlinear almost periodic systems by the comparison method”, Zhurnal SVMO, 21:2 (2019), 175–186
2018
13.
R. V. Zhalnin, V. F. Masyagin, E. E. Peskova, “Construction of a parallel computational algorithm based on the Galerkin discontinuous method for solving convective heat transfer problems on unstructured staggered grids”, Zhurnal SVMO, 20:4 (2018), 448–459
R. V. Zhalnin, V. F. Masyagin, “Galerkin method with discontinuous basis functions on staggered grips a priory estimates for the homogeneous Dirichlet problem”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:2 (2018), 29–43
R. V. Zhalnin, E. E. Peskova, O. A. Stadnichenko, V. F. Tishkin, “Modeling the flow of multicomponent reactive gas by the example of hydrocarbons pyrolysis”, Keldysh Institute preprints, 2017, 101, 16 pp.
R. V. Zhalnin, E. E. Peskova, O. A. Stadnichenko, V. F. Tishkin, “Modeling the flow of a multicomponent reactive gas using high accuracy algorithms”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:4 (2017), 608–617
R. V. Zhalnin, E. E. Peskova, O. A. Stadnichenko, V. F. Tishkin, “Using WENO schemes in mathematical modeling of gas mixture’s dynamics by the example of ethane pyrolysis”, Zhurnal SVMO, 18:3 (2016), 98–106
I. M. Gubaydullin, R. V. Zhalnin, V. F. Masyagin, V. F. Tishkin, A. S. Shurshina, “Application of the DG method for solution of inverse problem of medicine diffusion out from the chitosan film”, Zhurnal SVMO, 18:2 (2016), 94–105
R. V. Zhalnin, M. E. Ladonkina, V. F. Masyagin, V. F. Tishkin, “Discontinuous finite-element Galerkin method for numerical solution of parabolic problems in anisotropic media on triangle grids”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:3 (2016), 144–151
R. V. Zhalnin, M. E. Ladonkina, V. F. Masyagin, V. F. Tishkin, “Solving the problem of non-stationary filtration of substance by the discontinuous Galerkin method on unstructured grids”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016), 989–998; Comput. Math. Math. Phys., 56:6 (2016), 977–986
R. V. Zhalnin, A. V. Maksimkin, V. F. Masyagin, A. I. Pantyushin, E. E. Peskova, “About the use of WENO-limiter in the implicit scheme for the Discontinuous Galerkin method”, Zhurnal SVMO, 17:3 (2015), 75–81
R. V. Zhalnin, A. V. Maksimkin, V. F. Masyagin, A. I. Pantyushin, E. E. Peskova, V. D. Salnikov, V. F. Tishkin, “Research of the order of accuracy of an Implicit Discontinuous Galerkin method for solving problems of gas dynamics”, Zhurnal SVMO, 17:1 (2015), 48–54
R. V. Zhalnin, M. E. Ladonkina, V. F. Masyagin, V. F. Tishkin, “Solution of 3D heat conduction equations using the discontinuous Galerkin method on unstructured grids”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:3 (2015), 523–533
V. A. Goryunov, R. V. Zhalnin, E. E. Peskova, V. F. Tishkin, “On construction of WENO schemes for hyperbolic systems on unstructured meshes”, University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 1, 79–87
25.
R. V. Zhalnin, M. E. Ladonkina, V. F. Masyagin, V. F. Tishkin, “Discontinuous finite-element Galerkin method for numerical solution of two-dimensional
diffusion problems on unstructured grids”, Zhurnal SVMO, 16:2 (2014), 7–13
V. F. Masyagin, R. V. Zhalnin, V. F. Tishkin, “Discontinuous finite-element Galerkin method for numerical solution of two-dimensional
diffusion problems on unstructured grids”, Zhurnal SVMO, 15:2 (2013), 59–65
R. V. Zhalnin, “Solution of the model problem for diffusion equation by multigrid method on an irregular grid”, Zhurnal SVMO, 12:4 (2010), 126–129
2009
28.
R. V. Zhalnin, “About numerical modelling of a turbulent mixing stage at Richtmyer-Meshkov instability evolution”, Trudy SVMO, 11:2 (2009), 191–193
29.
R. V. Zhalnin, E. E. Peskova, “About choosing interpolation polinom in essentialy
non-oscillatory schemes.”, Trudy SVMO, 11:2 (2009), 68–77
2008
30.
R. V. Zhalnin, “On the construction of parallel computing algorithm for direct numerical simulation of complex gas dynamic flows”, Trudy SVMO, 10:1 (2008), 137–146
2007
31.
R. V. Zhalnin, N. V. Zmitrenko, M. E. Ladonkina, V. F. Tishkin, “Numerical simulation of Richtmyer–Meshkov instability development using the difference schemes of high order of accuracy”, Matem. Mod., 19:10 (2007), 61–66
O. V. Anashkin, P. M. Akhmet'ev, D. V. Balandin, M. K. Barinova, I. V. Boykov, A. N. Bezdenezhnyh, V. N. Belykh, P. A. Vel'misov, I. Yu. Vlasenko, O. E. Galkin, S. Yu. Galkina, V. K. Gorbunov, S. D. Glyzin, S. V. Gonchenko, A. S. Gorodetski, E. V. Gubina, E. Ya. Gurevich, A. A. Davydov, L. S. Efremova, R. V. Zhalnin, A. Yu. Zhirov, E. V. Zhuzhoma, N. I. Zhukova, S. Kh. Zinina, Yu. S. Ilyashenko, N. V. Isaenkova, A. O. Kazakov, A. V. Klimenko, S. A. Komech, Yu. A. Kordyukov, V. E. Kruglov, E. V. Kruglov, E. B. Kuznetsov, S. K. Lando, Yu. A. Levchenko, L. M. Lerman, S. I. Maksimenko, M. I. Malkin, D. S. Malyshev, V. K. Mamaev, T. Ph. Mamedova, V. S. Medvedev, T. V. Medvedev, D. I. Mints, T. M. Mitryakova, A. D. Morozov, A. I. Morozov, E. V. Nozdrinova, E. N. Pelinovsky, Ya. B. Pesin, A. S. Pikovsky, S. Yu. Pilyugin, G. M. Polotovsky, O. V. Pochinka, I. D. Remizov, P. E. Ryabov, A. S. Skripchenko, A. V. Slunyaev, S. V. Sokolov, L. A. Sukharev, E. A. Talanova, V. A. Timorin, S. B. Tikhomirov, V. F. Tishkin, D. V. Treschev, D. V. Turaev, N. G. Chebochko, E. E. Chilina, P. A. Shamanaev, D. D. Shubin, E. I. Yakovlev, “To the 75th anniversary of Vyacheslav Zigmundovich Grines”, Zhurnal SVMO, 23:4 (2021), 472–476
33.
P. A. Vel'misov, V. Z. Grines, R. V. Zhalnin, E. B. Kuznetsov, T. Ph. Mamedova, P. V. Senin, L. A. Sukharev, V. F. Tishkin, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, “To the 80th anniverssry of Ilya Vladimirovich Boykov”, Zhurnal SVMO, 23:3 (2021), 318–321
34.
A. S. Andreev, I. V. Boykov, P. A. Vel'misov, V. Z. Grines, E. V. Desyaev, D. K. Egorova, R. V. Zhalnin, E. B. Kuznetsov, I. V. Lutoshkin, A. G. Lvov, T. Ph. Mamedova, S. M. Muryumin, I. P. Ryazantseva, P. V. Senin, D. N. Sidorov, N. A. Sidorov, L. A. Sukharev, V. F. Tishkin, I. I. Chuchaev, P. A. Shamanaev, “To the 80th anniversary of Vladimir Konstantinovich Gorbunov”, Zhurnal SVMO, 23:2 (2021), 207–210
35.
V. V. Abramov, D. I. Boyarkin, I. M. Burkin, K. V. Bukhensky, O. V. Druzhinina, D. K. Egorova, R. V. Zhalnin, I. V. Ionova, A. N. Konenkov, A. N. Kulikov, A. G. Kushner, E. Yu. Liskina, S. S. Mamonov, O. N. Masina, A. K. Murtazov, A. Yu. Pavlov, P. M. Simonov, A. O. Harlamova, T. Ph. Mamedova, S. M. Muryumin, V. I. Safonkin, G. A. Smolkin, L. A. Sukharev, V. F. Tishkin, I. I. Chuchaev, P. A. Shamanaev, “In memory of Terekhin Mihail Tihonovich”, Zhurnal SVMO, 23:1 (2021), 110–111
2020
36.
I. V. Boykov, P. A. Vel'misov, È. R. Gizzatova, V. K. Gorbunov, V. Z. Grines, I. M. Gubaydullin, Yu. N. Deryugin, E. V. Desyaev, D. K. Egorova, A. P. Zhabko, R. V. Zhalnin, A. S. Ismagilova, V. N. Krizsky, E. B. Kuznetsov, T. Ph. Mamedova, N. D. Morozkin, S. M. Muryumin, S. A. Mustafina, O. V. Pochinka, I. P. Ryazantseva, K. B. Sabitov, L. A. Sukharev, V. F. Tishkin, I. I. Chuchaev, P. A. Shamanaev, “In memory of Spivak Semen Izrailevich”, Zhurnal SVMO, 22:4 (2020), 463–466
2019
37.
A. Yu. Aleksandrov, L. A. Antoshkina, E. V. Afinogentova, A. S. Andreev, I. G. Bashmakov, P. A. Vel'misov, V. Z. Grines, E. V. Desyaev, O. V. Druzhinina, D. K. Egorova, A. P. Zhabko, R. V. Zhalnin, E. A. Lizina, A. M. Kamachkin, A. A. Kosov, O. G. Kostrov, E. B. Kuznetsov, T. Ph. Mamedova, S. I. Martynov, S. M. Muryumin, V. I. Nikonov, S. I. Peregudin, E. E. Peskova, I. P. Ryazantseva, P. V. Senin, G. A. Smolkin, A. G. Smolyanov, L. A. Sukharev, A. O. Syromyasov, V. F. Tishkin, A. Yu. Uteshev, S. E. Kholodova, I. I. Chuchaev, P. A. Shamanaev, A. V. Shchennikov, E. V. Shchennikova, O. S. Yazovtseva, “In memory of Vladimir Nikolaevich Shchennikov”, Zhurnal SVMO, 21:2 (2019), 269–273
38.
V. V. Abramov, D. I. Boyarkin, I. M. Burkin, K. V. Bukhensky, O. V. Druzhinina, D. K. Egorova, R. V. Zhalnin, I. V. Ionova, A. N. Konenkov, A. N. Kulikov, A. G. Kushner, E. Yu. Liskina, S. S. Mamonov, O. N. Masina, A. K. Murtazov, A. Yu. Pavlov, P. M. Simonov, A. O. Kharlamova, T. Ph. Mamedova, S. M. Muryumin, V. I. Safonkin, G. A. Smolkin, L. A. Sukharev, V. F. Tishkin, I. I. Chuchaev, P. A. Shamanaev, “To the eighty-fifth anniversary of Mikhail Tikhonovich Terekhin”, Zhurnal SVMO, 21:1 (2019), 114–115
39.
I. V. Boykov, D. I. Boyarkin, S. M. Vdovin, P. A. Vel'misov, V. Z. Grines, I. M. Gubaydullin, Yu. N. Deryugin, D. K. Egorova, R. V. Zhalnin, V. T. Zhukov, T. Sh. Kal'menov, L. V. Klochkova, M. M. Krasnov, V. N. Krizsky, E. B. Kuznetsov, M. E. Ladonkina, T. Ph. Mamedova, V. F. Masyagin, P. P. Matus, N. D. Morozkin, S. M. Muryumin, O. A. Neklyudova, Yu. N. Orlov, A. Yu. Pavlov, E. E. Peskova, Yu. A. Poveschenko, I. P. Ryazantseva, V. I. Safonkin, P. V. Senin, G. A. Smolkin, S. I. Spivak, D. V. Suzan, L. A. Sukharev, A. O. Syromyasov, O. B. Feodoritova, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, N. G. Yarushkina, “To the seventieth anniversary of Vladimir Fedorovich Tishkin”, Zhurnal SVMO, 21:1 (2019), 111–113
2018
40.
A. S. Andreev, A. V. Ankilov, T. E. Badokina, D. I. Boyarkin, I. V. Boykov, D. K. Egorova, V. Z. Grines, S. A. Grishina, V. K. Gorbunov, Yu. N. Deryugin, E. V. Desyaev, R. V. Zhalnin, I. V. Konopleva, L. R. Kim-Tyan, V. N. Krizsky, S. I. Martynov, T. Ph. Mamedova, S. M. Muryumin, E. E. Peskova, Yu. V. Pokladova, O. V. Pochinka, V. P. Radchenko, I. P. Ryazantseva, S. I. Spivak, L. A. Sukharev, A. O. Syromyasov, V. F. Tishkin, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, N. G. Yarushkina, A.-V. Ion, “Velmisov Petr Aleksandrovich (on his seventieth birthday)”, Zhurnal SVMO, 20:3 (2018), 338–340
41.
A. S. Andreev, A. N. Andronov, T. E. Badokina, D. I. Boyarkin, I. V. Boykov, P. A. Vel'misov, V. Z. Grines, S. A. Grishina, V. K. Gorbunov, Yu. N. Deryugin, A. P. Zhabko, R. V. Zhalnin, I. V. Konopleva, L. R. Kim-Tyan, V. N. Krizsky, T. Ph. Mamedova, S. M. Muryumin, O. V. Pochinka, I. P. Ryazantseva, N. V. Savinov, A. R. Sibireva, L. A. Sukharev, V. F. Tishkin, E. V. Foliadova, I. I. Chuchaev, P. A. Shamanaev, N. G. Yarushkina, “In memory of Boris Vladimirovich Loginov”, Zhurnal SVMO, 20:1 (2018), 103–106
2017
42.
E. N. Artem'eva, I. V. Boykov, M. A. Borisov, D. I. Boyarkin, P. A. Vel'misov, V. K. Gorbunov, T. A. Gorshunova, V. Z. Grines, Yu. N. Deryugin, E. V. Desyaev, D. K. Egorova, R. V. Zhalnin, O. E. Kaledin, V. N. Krizsky, E. B. Kuznetsov, B. V. Loginov, T. Ph. Mamedova, S. I. Martynov, N. D. Morozkin, S. M. Muryumin, I. P. Nikitin, O. V. Pochinka, D. V. Pashutkin, A. Yu. Pavlov, E. E. Peskova, I. P. Ryazantseva, V. I. Safonkin, G. A. Smolkin, S. I. Spivak, L. A. Sukharev, A. O. Syromyasov, M. T. Terekhin, V. F. Tishkin, S. A. Firsova, E. A. Chernoivanova, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, Z. Ya. Yakupov, “On the 80th anniversary of professor E.V. Voskresensky's birthday”, Zhurnal SVMO, 19:4 (2017), 95–99
43.
P. A. Vel'misov, R. V. Zhalnin, V. T. Zhukov, T. K. Kozubskaya, P. V. Senin, L. I. Sizova, L. A. Sukharev, V. F. Tishkin, B. N. Chetverushkin, I. I. Chuchaev, R. M. Shagaliev, P. A. Shamanaev, V. N. Shchennikov, “Yuri Nikolaevich Deryugin - on his seventieth birthday”, Zhurnal SVMO, 19:2 (2017), 139–141
44.
A. A. Kurkin, S. N. Nagornyh, I. P. Ryazantseva, A. N. Moshkova, T. A. Shemyakina, P. A. Shamanaev, L. A. Sukharev, R. V. Zhalnin, T. Ph. Mamedova, S. M. Muryumin, D. I. Boyarkin, D. K. Egorova, “In memory of Alekseenko Sergey Nikolaevich”, Zhurnal SVMO, 19:1 (2017), 140–142
2016
45.
S. V. Gonchenko, E. V. Zhuzhoma, E. Ya. Gurevich, L. M. Lerman, O. V. Pochinka, V. F. Tishkin, I. I. Chuchaev, L. A. Sukharev, P. A. Shamanaev, R. V. Zhalnin, T. Ph. Mamedova, “Вячеслав Зигмундович Гринес (к семидесятилетию со дня рождения)”, Zhurnal SVMO, 18:4 (2016), 168–171
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