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Publications in Math-Net.Ru |
Citations |
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2026 |
| 1. |
Yu. A. Kriksin, V. F. Tishkin, “Numerical approximation and extrapolation of a function and its derivative approximately specified on a grid”, Dokl. RAN. Math. Inf. Proc. Upr., 529 (2026), 66–76 |
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2025 |
| 2. |
Yu. A. Kriksin, V. F. Tishkin, “Linear Fredholm integral equations of the first kind with constraints on the solution”, Dokl. RAN. Math. Inf. Proc. Upr., 524 (2025), 25–33 |
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2024 |
| 3. |
Yu. A. Kriksin, V. F. Tishkin, “On an approximation by band-limited functions”, Dokl. RAN. Math. Inf. Proc. Upr., 520:1 (2024), 57–63 ; Dokl. Math., 110:3 (2024), 500–505 |
| 4. |
Yu. A. Kriksin, V. F. Tishkin, “On quantitative assessment of chirality: right- and left-handed geometric objects”, Dokl. RAN. Math. Inf. Proc. Upr., 517 (2024), 22–29 ; Dokl. Math., 109:3 (2024), 206–212 |
| 5. |
Y. A. Kriksin, V. F. Tishkin, “Entropic regularization of the discontinuous Galerkin method in conservative variables for three-dimensional Euler equations”, Mat. Model., 36:4 (2024), 77–91 ; Math. Models Comput. Simul., 16:6 (2024), 843–852 |
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2023 |
| 6. |
Yu. A. Kriksin, V. F. Tishkin, “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 ; Dokl. Math., 108:3 (2023), 459–465 |
| 7. |
Yu. A. Kriksin, V. F. Tishkin, “On one approach to the assessment of a triangular element degeneration in a triangulation”, Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023), 52–56 ; Dokl. Math., 107:2 (2023), 126–129 |
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| 8. |
Yu. A. Kriksin, V. F. Tishkin, “Entropic regularization of the discontinuous Galerkin method for two-dimensional Euler equations in triangulated domains”, Mat. Model., 35:3 (2023), 3–19 ; Math. Models Comput. Simul., 15:5 (2023), 781–791 |
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2022 |
| 9. |
Yu. A. Kriksin, V. F. Tishkin, “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 ; Dokl. Math., 106:3 (2022), 440–444 |
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2021 |
| 10. |
M. D. Bragin, Yu. A. Kriksin, V. F. Tishkin, “Entropic regularization of the discontinuous Galerkin method in conservative variables for two-dimensional Euler equations”, Mat. Model., 33:12 (2021), 49–66 ; Math. Models Comput. Simul., 14:4 (2022), 578–589 |
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| 11. |
M. D. Bragin, Y. A. Kriksin, V. F. Tishkin, “Entropy stable discontinuous Galerkin method for two-dimensional Euler equations”, Mat. Model., 33:2 (2021), 125–140 ; Math. Models Comput. Simul., 13:5 (2021), 897–906 |
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2020 |
| 12. |
Y. A. Kriksin, V. F. Tishkin, “Entropy stable discontinuous Galerkin method for Euler equations using non-conservative variables”, Mat. Model., 32:9 (2020), 87–102 ; Math. Models Comput. Simul., 13:3 (2021), 416–425 |
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| 13. |
M. D. Bragin, Yu. A. Kriksin, V. F. Tishkin, “Discontinuous Galerkin method with entropic slope limiter for Euler equations”, Mat. Model., 32:2 (2020), 113–128 ; Math. Models Comput. Simul., 12:5 (2020), 824–833 |
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2019 |
| 14. |
Yu. A. Kriksin, V. F. Tishkin, “Numerical solution of the Einfeldt problem based on the discontinuous Galerkin method”, Keldysh Institute preprints, 2019, 090, 22 pp. |
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| 15. |
M. D. Bragin, Yu. A. Kriksin, V. F. Tishkin, “Ensuring the entropy stability of the discontinuous Galerkin method in gas-dynamics problems”, Keldysh Institute preprints, 2019, 051, 22 pp. |
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| 16. |
M. D. Bragin, Yu. A. Kriksin, V. F. Tishkin, “Verification of an entropic regularization method for discontinuous Galerkin schemes applied to hyperbolic equations”, Keldysh Institute preprints, 2019, 018, 25 pp. |
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| 17. |
Y. A. Kriksin, V. F. Tishkin, “Variational entropic regularization of discontinuous Galerkin method for gas dynamics equations”, Mat. Model., 31:5 (2019), 69–84 ; Math. Models Comput. Simul., 11:6 (2019), 1032–1040 |
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2018 |
| 18. |
Yu. A. Kriksin, V. F. Tishkin, “Entropic regularization of Discontinuous Galerkin method in one-dimensional problems of gas dynamics”, Keldysh Institute preprints, 2018, 100, 22 pp. |
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| 19. |
Yu. A. Kriksin, P. A. Kuchugov, M. E. Ladonkina, O. A. Nekliudova, V. F. Tishkin, “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. |
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| 20. |
Yu. A. Kriksin, V. F. Tishkin, “Hybrid approach to solving single-dimensional gas dynamics equations”, Mat. Model., 30:8 (2018), 17–31 ; Math. Models Comput. Simul., 11:2 (2019), 256–265 |
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2005 |
| 21. |
Yu. A. Kriksin, P. G. Khalatur, A. R. Khokhlov, “The model of surface pattern recognition by copolymer”, Mat. Model., 17:9 (2005), 103–112 |
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| 22. |
Yu. A. Kriksin, P. G. Khalatur, A. R. Khokhlov, “The model of copolymer adsorption on the surface with active centers”, Mat. Model., 17:2 (2005), 3–10 |
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2003 |
| 23. |
Yu. A. Kriksin, P. G. Khalatur, A. R. Khokhlov, “The modelling of secondary structure of polimer chain”, Mat. Model., 15:11 (2003), 110–120 |
| 24. |
Yu. A. Kriksin, P. G. Khalatur, A. R. Khokhlov, “The model of protein-like copolymer with hydrogen bonds”, Mat. Model., 15:4 (2003), 101–106 |
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2002 |
| 25. |
Yu. A. Kriksin, P. G. Khalatur, A. R. Khokhlov, “The algorithm for the solution of the integral equations for multicomponent polyelectrolyte systems”, Mat. Model., 14:7 (2002), 74–80 |
| 26. |
Yu. A. Kriksin, P. G. Khalatur, A. R. Khokhlov, “Reconstruction of proteinlike copolymer globular structure”, Mat. Model., 14:6 (2002), 82–90 |
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2001 |
| 27. |
Yu. A. Kriksin, “Аn algorithm for solution of integral equations for two-dimension polymer media”, Mat. Model., 13:5 (2001), 3–10 |
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2000 |
| 28. |
Yu. A. Kriksin, P. G. Khalatur, A. R. Khokhlov, “The algorithm for the solution of the integral equations system for copolymer with coulomb interactions”, Mat. Model., 12:10 (2000), 110–120 |
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1999 |
| 29. |
Yu. A. Kriksin, V. F. Tishkin, P. G. Khalatur, A. R. Khokhlov, “On the convergence of explicit two-layer iterative procedure for the polymer theory integral equation”, Mat. Model., 11:12 (1999), 105–112 |
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1998 |
| 30. |
Yu. A. Kriksin, P. G. Khalatur, A. R. Khokhlov, “On an algorithm for the solution of the polyelectrolyte integral equations system with molecular closure”, Mat. Model., 10:10 (1998), 112–122 |
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1997 |
| 31. |
Yu. A. Kriksin, P. G. Khalatur, A. R. Khokhlov, “The algorithm for solving of charged polymer chains integral equation”, Mat. Model., 9:11 (1997), 119–125 |
| 32. |
Yu. A. Kriksin, “Об одном критерии продолжаемости решения системы обыкновенных дифференциальных уравнений”, Mat. Model., 9:10 (1997), 28–29 |
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1996 |
| 33. |
Yu. A. Kriksin, “Constructing conservative difference schemes for problems of classical mechanics”, Zh. Vychisl. Mat. Mat. Fiz., 36:4 (1996), 156–157 ; Comput. Math. Math. Phys., 36:4 (1996), 553 |
| 34. |
Yu. A. Kriksin, “Solutions of the system of Hamilton difference equations with external action”, Zh. Vychisl. Mat. Mat. Fiz., 36:3 (1996), 159–160 |
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1995 |
| 35. |
Yu. A. Kriksin, “On the theory of Hamiltonian systems with external action”, Dokl. Akad. Nauk, 344:2 (1995), 172–174 |
| 36. |
Yu. A. Kriksin, S. N. Plushchev, E. A. Samarskaya, V. F. Tishkin, “The inverse problem of source reconstruction for convective diffusion equation”, Mat. Model., 7:11 (1995), 95–108 |
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| 37. |
Yu. A. Kriksin, “On the convergence of the Newton method for the solution of a conservative difference scheme for a problem in classical mechanics”, Zh. Vychisl. Mat. Mat. Fiz., 35:12 (1995), 1819–1830 ; Comput. Math. Math. Phys., 35:12 (1995), 1461–1470 |
| 38. |
Yu. A. Kriksin, “Non-local properties of solutions of Hamilton's difference equations with external action”, Zh. Vychisl. Mat. Mat. Fiz., 35:5 (1995), 718–727 ; Comput. Math. Math. Phys., 35:5 (1995), 563–570 |
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1993 |
| 39. |
Yu. A. Kriksin, E. A. Samarskaya, V. F. Tishkin, “Balance model of impurity propagation in plan filtration flow”, Mat. Model., 5:6 (1993), 69–84 |
| 40. |
Yu. A. Kriksin, “Nonlocal solutions of problems of nonlinear dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 33:12 (1993), 1826–1843 ; Comput. Math. Math. Phys., 33:12 (1993), 1599–1612 |
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| 41. |
Yu. A. Kriksin, “Energy bounds of some nonlinear dynamical systems with an external action”, Zh. Vychisl. Mat. Mat. Fiz., 33:9 (1993), 1275–1293 ; Comput. Math. Math. Phys., 33:9 (1993), 1129–1143 |
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| 42. |
Yu. A. Kriksin, “A conservative difference scheme for a system of Hamiltonian equations with external action”, Zh. Vychisl. Mat. Mat. Fiz., 33:2 (1993), 206–218 ; Comput. Math. Math. Phys., 33:2 (1993), 181–191 |
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1992 |
| 43. |
V. V. Kislov, Yu. A. Kriksin, I. V. Taranov, “Mathematical model of stable stationary structures in molecular monolayers”, Mat. Model., 4:5 (1992), 36–52 |
| 44. |
V. M. Agajan, V. V. Kislov, Yu. A. Kriksin, I. V. Taranov, “Linear acoustic waves scattering in LB-films on inhomogeneities”, Mat. Model., 4:2 (1992), 3–14 |
| 45. |
Yu. A. Kriksin, “Dynamical systems with an external action”, Zh. Vychisl. Mat. Mat. Fiz., 32:3 (1992), 417–433 ; Comput. Math. Math. Phys., 32:3 (1992), 353–369 |
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1991 |
| 46. |
V. V. Kislov, Yu. A. Kriksin, I. V. Taranov, “Simulation of Langmuir's monolayer dynamics”, Mat. Model., 3:11 (1991), 39–46 |
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1990 |
| 47. |
V. M. Agajan, V. V. Kislov, Yu. A. Kriksin, “Numerical modelling of stationary structures in Langmuir's monolayer”, Mat. Model., 2:5 (1990), 18–27 |
| 48. |
V. V. Kislov, Yu. A. Kriksin, “Dynamical properties of Langmuir–Blodgett's molecular films”, Mat. Model., 2:4 (1990), 39–53 |
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| 49. |
V. V. Kislov, Yu. A. Kriksin, “Stationary structures in Langmuir–Blodgett molecular films”, Mat. Model., 2:1 (1990), 3–13 |
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1989 |
| 50. |
V. Ya. Arsenin, Yu. A. Kriksin, A. A. Timonov, “On the spectral approach to the construction of local
regularization algorithms”, Dokl. Akad. Nauk SSSR, 304:3 (1989), 521–525 ; Dokl. Math., 39:1 (1989), 86–90 |
| 51. |
V. V. Kislov, Yu. A. Kriksin, “Numerical modelling of impulsive action on a soliton in quasi-one-dimensional systems”, Mat. Model., 1:4 (1989), 87–99 |
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1988 |
| 52. |
V. Arsenin, Yu. A. Kriksin, A. A. Timonov, “A local regularization method for linear operator equations of the first kind and its applications”, Zh. Vychisl. Mat. Mat. Fiz., 28:6 (1988), 793–808 ; U.S.S.R. Comput. Math. Math. Phys., 28:3 (1988), 113–125 |
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1985 |
| 53. |
Yu. A. Kriksin, “The choice of regularization parameter for the solution of a linear operator equation”, Zh. Vychisl. Mat. Mat. Fiz., 25:7 (1985), 1092–1097 ; U.S.S.R. Comput. Math. Math. Phys., 25:4 (1985), 84–87 |
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1984 |
| 54. |
Yu. A. Kriksin, “Strong regularization and some of its applications”, Dokl. Akad. Nauk SSSR, 278:4 (1984), 800–802 |
| 55. |
Yu. A. Kriksin, “Solution of linear ill-posed problems by the local residual method”, Zh. Vychisl. Mat. Mat. Fiz., 24:12 (1984), 1892–1897 ; U.S.S.R. Comput. Math. Math. Phys., 24:6 (1984), 189–192 |
| 56. |
V. B. Glasko, Yu. A. Kriksin, “The principle of quasioptimality for linear ill-posed problems in
Hilbert space”, Zh. Vychisl. Mat. Mat. Fiz., 24:11 (1984), 1603–1613 ; U.S.S.R. Comput. Math. Math. Phys., 24:6 (1984), 1–7 |
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1983 |
| 57. |
V. B. Glasko, Yu. A. Kriksin, “Some stochastically regularizing algorithms based on a difference
representation of a quasioptimal measure”, Dokl. Akad. Nauk SSSR, 271:3 (1983), 521–524 |
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1982 |
| 58. |
Yu. A. Kriksin, “On the porosity of a densely packed powder of spherical particles”, Dokl. Akad. Nauk SSSR, 265:4 (1982), 798–801 |
| 59. |
V. B. Glasko, Yu. A. Kriksin, M. K. Trubetskov, “Quasioptimality and residual criteria for systems of linear algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982), 1287–1297 ; U.S.S.R. Comput. Math. Math. Phys., 22:6 (1982), 4–16 |
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1981 |
| 60. |
V. B. Glasko, Yu. A. Kriksin, N. I. Kulik, M. K. Trubetskov, “A. N. Tikhonov's regularizing operators in some ill-posed problems for differential equations”, Differ. Uravn., 17:10 (1981), 1842–1850 |
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1979 |
| 61. |
A. N. Tikhonov, V. B. Glasko, Yu. A. Kriksin, “On the question of quasi-optimal choice of a regularized approximation”, Dokl. Akad. Nauk SSSR, 248:3 (1979), 531–535 |
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| 62. |
Yu. A. Kriksin, V. B. Glasko, P. N. Vabishchevich, “Solution of the Hadamard problem by a Tikhonov-regularizing algorithm”, Zh. Vychisl. Mat. Mat. Fiz., 19:6 (1979), 1462–1470 ; U.S.S.R. Comput. Math. Math. Phys., 19:6 (1979), 103–112 |
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