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Tishkin Vladimir Fedorovich

Publications in Math-Net.Ru

  1. Modification of the discontinuous Galerkin method using time-dependent basis functions

    Dokl. RAN. Math. Inf. Proc. Upr., 523 (2025),  50–58
  2. On the accuracy of the discontinuous Galerkin method inside centered rarefaction waves and in the areas of their influence

    Mat. Model., 37:1 (2025),  113–130
  3. Simulation of traffic flows based on the quasi-gasdynamic approach and the cellular automata theory using supercomputers

    Computer Research and Modeling, 16:1 (2024),  175–194
  4. On an approximation by band-limited functions

    Dokl. RAN. Math. Inf. Proc. Upr., 520:1 (2024),  57–63
  5. On quantitative assessment of chirality: right- and left-handed geometric objects

    Dokl. RAN. Math. Inf. Proc. Upr., 517 (2024),  22–29
  6. Entropic regularization of the discontinuous Galerkin method in conservative variables for three-dimensional Euler equations

    Mat. Model., 36:4 (2024),  77–91
  7. Degeneration estimation of a tetrahedral in a tetrahedral partition of the three-dimensional space

    Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023),  44–51
  8. On one approach to the assessment of a triangular element degeneration in a triangulation

    Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023),  52–56
  9. On the accuracy of discontinuous Galerkin method calculating gas-dynamic shock waves

    Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023),  43–51
  10. Partially averaged Navier-Stokes equations

    Keldysh Institute preprints, 2023, 045, 19 pp.
  11. Entropic regularization of the discontinuous Galerkin method for two-dimensional Euler equations in triangulated domains

    Mat. Model., 35:3 (2023),  3–19
  12. Experimental and numerical investigation of the dynamics of development of Rayleigh–Taylor instability at Atwood numbers close to unity

    Mat. Model., 35:1 (2023),  59–82
  13. A high-accuracy algorithm for solving problems of electrostatics in a nonhomogeneous spatially periodic dielectric medium

    Dokl. RAN. Math. Inf. Proc. Upr., 507 (2022),  40–45
  14. Erratum to: Several Articles in Doklady Mathematics

    Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022),  404–405
  15. On convergence of finite-difference shock-capturing schemes in regions of shock waves influence

    Dokl. RAN. Math. Inf. Proc. Upr., 504 (2022),  42–46
  16. On the influence of the choice of the numerical flow on the solution of problems with shock waves by the discontinuous Galerkin method

    Keldysh Institute preprints, 2022, 091, 21 pp.
  17. 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
  18. 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
  19. Combined numerical schemes

    Zh. Vychisl. Mat. Mat. Fiz., 62:11 (2022),  1763–1803
  20. 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.
  21. Entropic regularization of the discontinuous Galerkin method in conservative variables for two-dimensional Euler equations

    Mat. Model., 33:12 (2021),  49–66
  22. Hybrid numerical flux for solving the problems of supersonic flow of solid bodies

    Mat. Model., 33:5 (2021),  47–56
  23. On increasing the stability of the combined scheme of the discontinuous Galerkin method

    Mat. Model., 33:3 (2021),  98–108
  24. Entropy stable discontinuous Galerkin method for two-dimensional Euler equations

    Mat. Model., 33:2 (2021),  125–140
  25. Construction of hybrid numerical flows that suppress the development of shock-wave instability

    Keldysh Institute preprints, 2020, 130, 12 pp.
  26. Mathematical modeling of stochastic processes of virus propagation in the human environment

    Keldysh Institute preprints, 2020, 114, 17 pp.
  27. Modeling of Richtmyer–Meshkov instability development using the discontinuous Galerkin method and local-adaptive meshes

    Mat. Model., 32:10 (2020),  34–46
  28. Numerical simulation of propane pyrolysis in a flow chemical reactor under the influence of constant external heating

    Mat. Model., 32:9 (2020),  119–130
  29. Entropy stable discontinuous Galerkin method for Euler equations using non-conservative variables

    Mat. Model., 32:9 (2020),  87–102
  30. Modern methods of mathematical modeling of the development of hydrodynamic instabilities and turbulent mixing

    Mat. Model., 32:8 (2020),  57–90
  31. Discontinuous Galerkin method with entropic slope limiter for Euler equations

    Mat. Model., 32:2 (2020),  113–128
  32. 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
  33. Numerical solution of the Einfeldt problem based on the discontinuous Galerkin method

    Keldysh Institute preprints, 2019, 090, 22 pp.
  34. Ensuring the entropy stability of the discontinuous Galerkin method in gas-dynamics problems

    Keldysh Institute preprints, 2019, 051, 22 pp.
  35. Verification of an entropic regularization method for discontinuous Galerkin schemes applied to hyperbolic equations

    Keldysh Institute preprints, 2019, 018, 25 pp.
  36. Variational entropic regularization of discontinuous Galerkin method for gas dynamics equations

    Mat. Model., 31:5 (2019),  69–84
  37. 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
  38. Safety issues in the exploitation of sedimentary basins of hydrocarbon deposits

    Keldysh Institute preprints, 2018, 256, 16 pp.
  39. Implementation of the Galerkin discontinous method in the DGM software package

    Keldysh Institute preprints, 2018, 245, 31 pp.
  40. Research on the accuracy of the discontinuous Galerkin method in the calculation of solutions with shock waves

    Keldysh Institute preprints, 2018, 195, 20 pp.
  41. Entropic regularization of Discontinuous Galerkin method in one-dimensional problems of gas dynamics

    Keldysh Institute preprints, 2018, 100, 22 pp.
  42. Construction of exact solutions of certain equations of hyperbolic type containing a discontinuity propagating along a non-homogeneous background

    Keldysh Institute preprints, 2018, 017, 14 pp.
  43. Godunov type method and the Shafranov's task for multi-temperature plasma

    Mat. Model., 30:9 (2018),  51–71
  44. Hybrid approach to solving single-dimensional gas dynamics equations

    Mat. Model., 30:8 (2018),  17–31
  45. Construction of the limiter based on averaging of solutions for discontinued Galerkin method

    Mat. Model., 30:5 (2018),  99–116
  46. On the accuracy of the discontinuous Galerkin method in calculation of shock waves

    Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018),  148–156
  47. Modeling the flow of multicomponent reactive gas by the example of hydrocarbons pyrolysis

    Keldysh Institute preprints, 2017, 101, 16 pp.
  48. Application of averaging to smooth the solution in DG method

    Keldysh Institute preprints, 2017, 089, 32 pp.
  49. On the proximity of solutions of unperturbed and hyperbolized heat equations for discontinuous initial data

    Keldysh Institute preprints, 2017, 086, 15 pp.
  50. Discontinuous Galerkin method on three-dimensional tetrahedral meshes. The usage of the operator programming method

    Mat. Model., 29:2 (2017),  3–22
  51. Modeling the flow of a multicomponent reactive gas using high accuracy algorithms

    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:4 (2017),  608–617
  52. Discontinuous Galerkin method on three-dimensional tetrahedral meshes. The usage of the operator programming method

    Keldysh Institute preprints, 2016, 023, 27 pp.
  53. On justification of the Godunov scheme in multidimensional case

    Mat. Model., 28:2 (2016),  86–96
  54. Using WENO schemes in mathematical modeling of gas mixture’s dynamics by the example of ethane pyrolysis

    Zhurnal SVMO, 18:3 (2016),  98–106
  55. 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
  56. 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
  57. 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
  58. Assess the impact of hyperbolization for the heat equation

    Keldysh Institute preprints, 2015, 016, 12 pp.
  59. A multigrid method for the heat equation with discontinuous coefficients with the special choice of grids

    Mat. Model., 27:9 (2015),  17–32
  60. 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
  61. 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
  62. Difference schemes based on the support operator method for fluids dynamics problems in a collector containing gas hydrates

    Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015),  1341–1355
  63. Estimates of the hyperbolization effect on the heat equation

    Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015),  1299–1304
  64. On the connection of discontinuous Galerkin method and Godunov type methods of high order accuracy

    Keldysh Institute preprints, 2014, 049, 10 pp.
  65. The no-slip boundary conditions for discontinuous Galerkin method

    Keldysh Institute preprints, 2014, 032, 16 pp.
  66. On construction of WENO schemes for hyperbolic systems on unstructured meshes

    University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 1,  79–87
  67. Application of the RKDG method for gas dynamics problems

    Mat. Model., 26:1 (2014),  17–32
  68. Discontinuous finite-element Galerkin method for numerical solution of two-dimensional diffusion problems on unstructured grids

    Zhurnal SVMO, 16:2 (2014),  7–13
  69. Method for the numerical solution of heat transfer equation with discontinuous coefficient based on multigrid techniques

    Keldysh Institute preprints, 2013, 064, 19 pp.
  70. The high order limiter for RKDG on triangular meshes

    Keldysh Institute preprints, 2013, 053, 26 pp.
  71. One method for numerical solutions of conservation laws systems

    Keldysh Institute preprints, 2013, 032, 12 pp.
  72. Discontinuous finite-element Galerkin method for numerical solution of two-dimensional diffusion problems on unstructured grids

    Zhurnal SVMO, 15:2 (2013),  59–65
  73. Methodology of correlation coefficient calculation for non-stationary time series

    Zhurnal SVMO, 15:1 (2013),  8–15
  74. Research of the impact of different limiting functions on the order of solution obtained by RKDG

    Keldysh Institute preprints, 2012, 034, 31 pp.
  75. Research of the impact of different limiting functions on the order of solution obtained by RKDG

    Mat. Model., 24:12 (2012),  124–128
  76. Mathematical modelling of self–oscillatory oil and gas fields formation modes

    Zhurnal SVMO, 14:3 (2012),  7–11
  77. Mathematical modeling of air quality on the prolonged period of time

    Zhurnal SVMO, 14:2 (2012),  67–73
  78. Dynamic fluid model of self-oscillatory processes

    Zhurnal SVMO, 14:2 (2012),  8–14
  79. Mathematical modeling of correlation of the epidemic situation in the metropolitan areas on the air state

    Zhurnal SVMO, 14:1 (2012),  8–15
  80. A numerical method for the solution of heat conduction equation on triangular grids using the multigrid techniques

    Keldysh Institute preprints, 2011, 029, 16 pp.
  81. Application of adaptive neural network models to the problems of underground hydrodynamics

    Zhurnal SVMO, 13:3 (2011),  8–14
  82. Mathematical research of system of equations of processes in the porous environment

    Zhurnal SVMO, 13:1 (2011),  7–11
  83. A numerical method for solving diffusion-type equations based on a multigrid method

    Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010),  1438–1461
  84. About one choice of essentially non-oscillatory high occuracy order difference scheme for systems of conservation laws

    Mat. Model., 21:11 (2009),  19–32
  85. Smoothing of ablation pressure nonuniformities in the laser-plasma corona during heating of laser fusion targets

    Kvantovaya Elektronika, 39:6 (2009),  531–536
  86. Numerical algorithm for solving diffusion equations on the basis of multigrid methods

    Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009),  518–541
  87. High-precision invariant on rotation parameterization of curves

    Mat. Model., 20:1 (2008),  16–28
  88. A conservative differencing sceme for diffusion-type equations on base of multigrid methods

    Trudy SVMO, 10:2 (2008),  21–44
  89. Numerical simulation of Richtmyer–Meshkov instability development using the difference schemes of high order of accuracy

    Mat. Model., 19:10 (2007),  61–66
  90. Numerical algorithm for equations of diffusion type on base of multigrid methods

    Mat. Model., 19:4 (2007),  71–89
  91. Study of symmetrising action of laser prepulse on inhomogeneity of thin foil heating

    Kvantovaya Elektronika, 35:7 (2005),  641–644
  92. Solving parabolic equations on locally refined grids

    Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005),  2031–2043
  93. On parallel algorithm of radiative gas flow calculations LATRANT-P

    Mat. Model., 16:4 (2004),  105–113
  94. Dirichlet cells in the shortest-path metric

    Mat. Model., 15:5 (2003),  71–79
  95. Numerical simulation and analysis of a turbulent mixing with 3D NUT code

    Mat. Model., 15:5 (2003),  3–11
  96. A variational method for generation of high aspect-ratio regular adaptive grids

    Mat. Model., 13:5 (2001),  11–28
  97. Transport model of gas impurities spread in urban area

    Mat. Model., 12:11 (2000),  38–46
  98. Adaptive grids from dirichlet cells for mathematical physics problems: a methodology for grid generation, examples

    Mat. Model., 12:3 (2000),  97–109
  99. Strategy of mathematical cardiovascular system modeling

    Mat. Model., 12:2 (2000),  106–117
  100. Two-dimensional energy transfer and plasma formation under laser beam irradiation of a subcritical-density material

    Kvantovaya Elektronika, 30:7 (2000),  601–605
  101. On the convergence of explicit two-layer iterative procedure for the polymer theory integral equation

    Mat. Model., 11:12 (1999),  105–112
  102. High-frequency electromagnetic fields inside premises

    Mat. Model., 11:11 (1999),  24–38
  103. Сomparative analysis of models of pollutions spreading in atmosphere

    Mat. Model., 11:8 (1999),  52–64
  104. Hydrocarbon migration processes in real geological regions

    Mat. Model., 10:6 (1998),  20–30
  105. Tishkiru Rotation invariance of parametric spline approximation

    Mat. Model., 10:4 (1998),  83–90
  106. Unstructured adaptive grids for mathematical physics problems

    Mat. Model., 10:3 (1998),  93–116
  107. Alternative approaches to the design of targets for a hybrid thermonuclear station

    Kvantovaya Elektronika, 25:4 (1998),  327–332
  108. A mathematical model of the hemodynamics of a cardio-vascular system

    Differ. Uravn., 33:7 (1997),  892–898
  109. Constructing mathematical model of pollutions spreading in atmosphere

    Mat. Model., 9:11 (1997),  59–71
  110. Non-regular adaptive grids for mathematical physics problems

    Mat. Model., 9:2 (1997),  13–20
  111. Symmetrising effect of an x-ray prepulse in laser target compression

    Kvantovaya Elektronika, 24:8 (1997),  721–724
  112. The use of adaptive grids of irregular structure for computing discontinuous solutions with an improved order of accuracy

    Differ. Uravn., 32:7 (1996),  976–985
  113. Symmetrising influence of a laser prepulse on the development of perturbations of the shell – fuel contact boundary

    Kvantovaya Elektronika, 23:1 (1996),  71–72
  114. The inverse problem of source reconstruction for convective diffusion equation

    Mat. Model., 7:11 (1995),  95–108
  115. Monotone high-order accuracy difference schemes for modelling gasdynamic flows in a cavity

    Mat. Model., 7:11 (1995),  55–65
  116. Finite difference schemes of three-dimensional gas dynamics for the study of Richtmyer–Meshkov instability

    Mat. Model., 7:5 (1995),  15–25
  117. Numerical simulation of thermal equalisation and hydrodynamic compensation in 'laser greenhouse' targets

    Kvantovaya Elektronika, 22:12 (1995),  1257–1261
  118. Uniform algorithm for computation of discontinuous solution on adaptive grids

    Mat. Model., 6:11 (1994),  25–40
  119. Balance model of impurity propagation in plan filtration flow

    Mat. Model., 5:6 (1993),  69–84
  120. Difference schemes for two-dimentional magnetic hydrodynamics with poloidal field

    Mat. Model., 4:10 (1992),  47–61
  121. Compression of shell targets under conditions of a large-scale inhomogeneity of laser irradiation

    Kvantovaya Elektronika, 18:4 (1991),  463–466
  122. Construction of monotone high resolution difference schemes for hyperbolic systems

    Mat. Model., 1:5 (1989),  95–120
  123. Theoretical investigation of the stability of compression of thin-wall shell targets irradiated by laser pulses with an energy of the order of 1 kJ

    Kvantovaya Elektronika, 15:8 (1988),  1622–1632
  124. Difference schemes of the method of “Dirichlet particles”, which preserve the one-dimensionality of gas dynamic flows in Cartesian, cylindrical and spherical coordinates

    Differ. Uravn., 23:12 (1987),  2133–2147
  125. Investigation of the approximation of difference operators on a grid of Dirichlet cells

    Differ. Uravn., 22:7 (1986),  1227–1237
  126. Numerical modelling of two-dimensional gas-dynamic flows on a variable-structure mesh

    Zh. Vychisl. Mat. Mat. Fiz., 26:9 (1986),  1392–1406
  127. Variational-difference schemes for equations of the dynamics of a deformable medium

    Differ. Uravn., 21:7 (1985),  1258–1263
  128. Application of the parallel-chord method to solve implicit difference equations of magnetohydrodynamics

    Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983),  936–946
  129. Use of the support operator method for constructing difference analogues of operations of tensor analysis

    Differ. Uravn., 18:7 (1982),  1251–1256
  130. Variational approach to the construction of difference schemes for diffusion equations of a magnetic field

    Differ. Uravn., 18:7 (1982),  1229–1239
  131. On the representation of difference schemes of mathematical physics in operator form

    Dokl. Akad. Nauk SSSR, 258:5 (1981),  1092–1096
  132. Operator-difference schemes

    Differ. Uravn., 17:7 (1981),  1317–1327
  133. The use of the parallel-chord method to solve hydrodynamic difference equations

    Zh. Vychisl. Mat. Mat. Fiz., 21:3 (1981),  707–720
  134. Variational schemes of magnetohydrodynamics in an arbitrary coordinate system

    Zh. Vychisl. Mat. Mat. Fiz., 21:1 (1981),  54–68
  135. Variational-flux difference schemes for the calculation of magnetic field diffusion

    Dokl. Akad. Nauk SSSR, 254:6 (1980),  1388–1391
  136. A variational approach to the construction of difference schemes on curvilinear meshes for the heat-conduction equation

    Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980),  401–421
  137. Variational-difference schemes for the heat-conduction equation on nonregular grids

    Dokl. Akad. Nauk SSSR, 246:6 (1979),  1342–1346

  138. Boris Nikolaevich Chetverushkin (on his eightieth birthday)

    Uspekhi Mat. Nauk, 79:4(478) (2024),  181–187
  139. To the 75th anniversary of Vyacheslav Zigmundovich Grines

    Zhurnal SVMO, 23:4 (2021),  472–476
  140. To the 80th anniverssry of Ilya Vladimirovich Boykov

    Zhurnal SVMO, 23:3 (2021),  318–321
  141. To the 80th anniversary of Vladimir Konstantinovich Gorbunov

    Zhurnal SVMO, 23:2 (2021),  207–210
  142. In memory of Terekhin Mihail Tihonovich

    Zhurnal SVMO, 23:1 (2021),  110–111
  143. In memory of Spivak Semen Izrailevich

    Zhurnal SVMO, 22:4 (2020),  463–466
  144. In memory of Vladislav Borisovich Rozanov (11 December 1932 – 5 September 2019)

    Kvantovaya Elektronika, 49:10 (2019),  988
  145. In memory of Vladimir Nikolaevich Shchennikov

    Zhurnal SVMO, 21:2 (2019),  269–273
  146. To the eighty-fifth anniversary of Mikhail Tikhonovich Terekhin

    Zhurnal SVMO, 21:1 (2019),  114–115
  147. In memory of Aleksandr Sergeevich Kholodov

    Mat. Model., 30:1 (2018),  135–136
  148. Velmisov Petr Aleksandrovich (on his seventieth birthday)

    Zhurnal SVMO, 20:3 (2018),  338–340
  149. In memory of Boris Vladimirovich Loginov

    Zhurnal SVMO, 20:1 (2018),  103–106
  150. On the 80th anniversary of professor E.V. Voskresensky's birthday

    Zhurnal SVMO, 19:4 (2017),  95–99
  151. Yuri Nikolaevich Deryugin - on his seventieth birthday

    Zhurnal SVMO, 19:2 (2017),  139–141
  152. Вячеслав Зигмундович Гринес (к семидесятилетию со дня рождения)

    Zhurnal SVMO, 18:4 (2016),  168–171
  153. On the 75th birthday of professor Anton Pavlovich Favorskii

    Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015),  1283–1291
  154. Boris Nikolaevich Chetverushkin (on his 70th birthday)

    Uspekhi Mat. Nauk, 69:2(416) (2014),  203–207
  155. II International Conference “Differential Equations and Their Applications”

    Uspekhi Mat. Nauk, 52:3(315) (1997),  191
  156. International Scientific Conference “Differential Equations and Their Applications”

    Uspekhi Mat. Nauk, 51:1(307) (1996),  187–188
  157. Международная научная конференция «Дифференциальные уравнения» и их приложения» (Мордовский госуниверситет им. Н. П. Огарева, Саранск, 20–22 декабря 1994 г.)

    Differ. Uravn., 31:3 (1995),  547
  158. The 60th anniversary of Nikolaj Nikolaevich Kalitkin

    Mat. Model., 7:11 (1995),  126–127
  159. International Conference “Differential Equations and Applications”

    Mat. Model., 7:5 (1995),  3–4
  160. The 75th anniversary of Aleksandr Andreevich Samarskij

    Mat. Model., 6:6 (1994),  139–142
  161. The 50th anniversary of Boris Nikolaevich Chetverushkin

    Mat. Model., 6:1 (1994),  110–111

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