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Shishkin, Grigorii Ivanovich

Statistics Math-Net.Ru
Total publications: 124
Scientific articles: 124

Number of views:
This page:3483
Abstract pages:30150
Full texts:9252
References:2995
Head Scientist Researcher
Doctor of physico-mathematical sciences
E-mail:

http://www.mathnet.ru/eng/person31539
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/190681

Publications in Math-Net.Ru
2017
1. G. I. Shishkin, “Difference scheme for an initial-boundary value problem for a singularly perturbed transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017),  1824–1830  mathnet  elib; Comput. Math. Math. Phys., 57:11 (2017), 1789–1795  isi  scopus
2. G. I. Shishkin, “Computer difference scheme for a singularly perturbed elliptic convection-diffusion equation in the presence of perturbations”, Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017),  814–831  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 57:5 (2017), 815–832  isi  scopus
2016
3. G. I. Shishkin, “Computer difference scheme for a singularly perturbed reaction-diffusion equation in the presence of perturbations”, Model. Anal. Inform. Sist., 23:5 (2016),  577–586  mathnet  mathscinet  elib
2015
4. G. I. Shishkin, L. P. Shishkina, “Difference scheme of highest accuracy order for a singularly perturbed reaction-diffusion equation based on the solution decomposition method”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015),  280–293  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 262–275  isi  scopus
5. G. I. Shishkin, “Difference scheme for a singularly perturbed parabolic convection–diffusion equation in the presence of perturbations”, Zh. Vychisl. Mat. Mat. Fiz., 55:11 (2015),  1876–1892  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:11 (2015), 1842–1856  isi  elib  scopus
6. G. I. Shishkin, L. P. Shishkina, “A higher order accurate solution decomposition scheme for a singularly perturbed parabolic reaction-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015),  393–416  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 55:3 (2015), 386–409  isi  elib  scopus
2014
7. G. I. Shishkin, L. P. Shishkina, “A stable standard difference scheme for a singularly perturbed convection-diffusion equation in the presence of computer perturbations”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  322–333  mathnet  mathscinet  elib
8. G. I. Shishkin, “Computer difference scheme for a singularly perturbed convection-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 54:8 (2014),  1256–1269  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 54:8 (2014), 1221–1233  isi  elib  scopus
2013
9. G. I. Shishkin, “Conditioning and stability of finite difference schemes on uniform meshes for a singularly perturbed parabolic convection-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 53:4 (2013),  575–599  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:4 (2013), 431–454  isi  elib  scopus
2012
10. G. I. Shishkin, “Conditioning of a difference scheme of the solution decomposition method for a singularly perturbed convection-diffusion equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:2 (2012),  291–304  mathnet  elib
11. G. I. Shishkin, “Strong stability of a scheme on locally uniform meshes for a singularly perturbed ordinary differential convection–diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012),  1010–1041  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:6 (2012), 895–925  isi  elib  scopus
2011
12. G. I. Shishkin, “A finite difference scheme of improved accuracy on a priori adapted grids for a singularly perturbed parabolic convection–diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 51:10 (2011),  1816–1839  mathnet  mathscinet; Comput. Math. Math. Phys., 51:10 (2011), 1705–1728  isi  scopus
13. G. I. Shishkin, L. P. Shishkina, “Improved approximations of the solution and derivatives to a singularly perturbed reaction-diffusion equation based on the solution decomposition method”, Zh. Vychisl. Mat. Mat. Fiz., 51:6 (2011),  1091–1120  mathnet  mathscinet; Comput. Math. Math. Phys., 51:6 (2011), 1020–1049  isi  scopus
2010
14. G. I. Shishkin, L. P. Shishkina, “Improved difference scheme of the solution decomposition method for a singularly perturbed reaction-diffusion equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010),  255–271  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S197–S214  isi  scopus
15. G. I. Shishkin, L. P. Shishkina, “A Richardson scheme of the decomposition method for solving singularly perturbed parabolic reaction-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010),  2113–2133  mathnet; Comput. Math. Math. Phys., 50:12 (2010), 2003–2022  scopus
16. G. I. Shishkin, L. P. Shishkina, “A conservative difference scheme for a singularly perturbed elliptic reaction-diffusion equation: approximation of solutions and derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 50:4 (2010),  665–678  mathnet  mathscinet; Comput. Math. Math. Phys., 50:4 (2010), 633–645  isi  scopus
17. G. I. Shishkin, L. P. Shishkina, “A Richardson scheme of an increased order of accuracy for a semilinear singularly perturbed elliptic convection-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010),  458–478  mathnet  mathscinet; Comput. Math. Math. Phys., 50:3 (2010), 437–456  isi  scopus
2009
18. G. I. Shishkin, “Approximation of singularly perturbed parabolic equations in unbounded domains subject to piecewise smooth boundary conditions in the case of solutions that grow at infinity”, Zh. Vychisl. Mat. Mat. Fiz., 49:10 (2009),  1827–1843  mathnet; Comput. Math. Math. Phys., 49:10 (2009), 1748–1764  isi  scopus
19. G. I. Shishkin, “The Richardson scheme for the singularly perturbed parabolic reaction-diffusion equation in the case of a discontinuous initial condition”, Zh. Vychisl. Mat. Mat. Fiz., 49:8 (2009),  1416–1436  mathnet  zmath; Comput. Math. Math. Phys., 49:8 (2009), 1348–1368  isi  scopus
20. G. I. Shishkin, L. P. Shishkina, “Finite difference schemes for the singularly perturbed reaction-diffusion equation in the case of spherical symmetry”, Zh. Vychisl. Mat. Mat. Fiz., 49:5 (2009),  840–856  mathnet  zmath  elib; Comput. Math. Math. Phys., 49:5 (2009), 810–826  isi  elib  scopus
2008
21. I. V. Tselischeva, G. I. Shishkin, “Sequential and parallel domain decomposition methods for a singularly perturbed parabolic convection-diffusion equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:1 (2008),  202–220  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 261, suppl. 1 (2008), S206–S227  isi  scopus
22. G. I. Shishkin, “Grid approximation of a parabolic convection-diffusion equation on a priori adapted grids: $\varepsilon$-uniformly convergent schemes”, Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008),  1014–1033  mathnet  zmath; Comput. Math. Math. Phys., 48:6 (2008), 956–974  isi  scopus
23. G. I. Shishkin, “Conditioning of finite difference schemes for a singularly perturbed convection-diffusion parabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 48:5 (2008),  813–830  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 48:5 (2008), 769–785  isi  scopus
24. G. I. Shishkin, L. P. Shishkina, “Approximation of a system of singularly perturbed reaction-diffusion parabolic equations in a rectangle”, Zh. Vychisl. Mat. Mat. Fiz., 48:4 (2008),  660–673  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 48:4 (2008), 627–640  isi  scopus
2007
25. G. I. Shishkin, “Grid approximation of singularly perturbed parabolic equations with piecewise continuous initial-boundary conditions”, Trudy Inst. Mat. i Mekh. UrO RAN, 13:2 (2007),  218–233  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S213–S230  scopus
26. G. I. Shishkin, “Grid approximation of a singularly perturbed quasilinear parabolic convection-diffusion equation on a priori adapted meshes”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 149:4 (2007),  146–172  mathnet
27. G. I. Shishkin, “Necessary conditions for $\varepsilon$-uniform convergence of finite difference schemes for parabolic equations with moving boundary layers”, Zh. Vychisl. Mat. Mat. Fiz., 47:10 (2007),  1706–1726  mathnet  mathscinet; Comput. Math. Math. Phys., 47:10 (2007), 1636–1655  scopus
28. G. I. Shishkin, “Approximation of systems of singularly perturbed elliptic reaction-diffusion equations with two parameters”, Zh. Vychisl. Mat. Mat. Fiz., 47:5 (2007),  835–866  mathnet  mathscinet; Comput. Math. Math. Phys., 47:5 (2007), 797–828  scopus
29. S. Li, G. I. Shishkin, L. P. Shishkina, “Approximation of the solution and its derivative for the singularly perturbed Black–Scholes equation with nonsmooth initial data”, Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007),  460–480  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 47:3 (2007), 442–462  scopus
2006
30. G. I. Shishkin, “Richardson's method for increasing the accuracy of difference solutions of singularly perturbed elliptic convection-diffusion equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2006, 2,  57–71  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 50:2 (2006), 57–71
31. G. I. Shishkin, “Higher-order accurate method for a quasilinear singularly perturbed elliptic convection-diffusion equation”, Sib. Zh. Vychisl. Mat., 9:1 (2006),  81–108  mathnet  zmath
32. G. I. Shishkin, “Grid approximation of singularly perturbed parabolic reaction-diffusion equations on large domains with respect to the space and time variables”, Zh. Vychisl. Mat. Mat. Fiz., 46:11 (2006),  2045–2064  mathnet  mathscinet; Comput. Math. Math. Phys., 46:11 (2006), 1953–1971  scopus
33. G. I. Shishkin, “The use of solutions on embedded grids for the approximation of singularly perturbed parabolic convection-diffusion equations on adapted grids”, Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006),  1617–1637  mathnet  mathscinet; Comput. Math. Math. Phys., 46:9 (2006), 1539–1559  scopus
34. G. I. Shishkin, “Grid approximation of singularly perturbed parabolic equations in the presence of weak and strong transient layers induced by a discontinuous right-hand side”, Zh. Vychisl. Mat. Mat. Fiz., 46:3 (2006),  407–420  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 46:3 (2006), 388–401  scopus
35. G. I. Shishkin, “A method of asymptotic constructions of improved accuracy for a quasilinear singularly perturbed parabolic convection-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 46:2 (2006),  242–261  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 46:2 (2006), 231–250  scopus
36. G. I. Shishkin, “Grid approximation of singularly perturbed parabolic convection-diffusion equations with a piecewise-smooth initial condition”, Zh. Vychisl. Mat. Mat. Fiz., 46:1 (2006),  52–76  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 46:1 (2006), 49–72  scopus
2005
37. G. I. Shishkin, L. P. Shishkina, “A Higher-Order Richardson Method for a Quasilinear Singularly Perturbed Elliptic Reaction-Diffusion Equation”, Differ. Uravn., 41:7 (2005),  980–989  mathnet  mathscinet; Differ. Equ., 41:7 (2005), 1030–1039
38. G. I. Shishkin, “A domain decomposition method in the case of nonoverlapping subdomains for a singularly perturbed convection-diffusion equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, 2,  62–73  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 49:2 (2005), 58–70
39. G. I. Shishkin, “On an adaptive grid method for singularly perturbed elliptic reaction-diffusion equations in a domain with a curvilinear boundary”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, 1,  73–88  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 49:1 (2005), 69–83
40. G. I. Shishkin, “Grid approximation of the domain and solution decomposition method with improved convergence rate for singularly perturbed elliptic equations in domains with characteristic boundaries”, Zh. Vychisl. Mat. Mat. Fiz., 45:7 (2005),  1196–1212  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:7 (2005), 1155–1171
41. G. I. Shishkin, “Grid approximation in a half plane for singularly perturbed elliptic equations with convective terms that grow at infinity”, Zh. Vychisl. Mat. Mat. Fiz., 45:2 (2005),  298–314  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 45:2 (2005), 285–301  elib
42. G. I. Shishkin, “Grid approximation of a singularly perturbed elliptic equation with convective terms in the presence of various boundary layers”, Zh. Vychisl. Mat. Mat. Fiz., 45:1 (2005),  110–125  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 45:1 (2005), 104–119  elib
2004
43. P. W. Hemker, G. I. Shishkin, L. P. Shishkina, “High-order accurate decomposition of the Richardson method for a singularly perturbed elliptic reaction-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 44:2 (2004),  329–337  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:2 (2004), 309–316
2003
44. G. I. Shishkin, “Numerical methods on adaptive grids for singularly perturbed elliptic equations in a domain with a curvilinear boundary”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, 1,  74–85  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 47:1 (2003), 72–83
45. P. W. Hemker, G. I. Shishkin, L. P. Shishkina, “High-order time-accurate schemes for parabolic singular perturbation convection-diffusion problems with Robin boundary conditions”, Matem. Mod., 15:8 (2003),  99–112  mathnet  mathscinet  zmath
46. G. I. Shishkin, “Grid approximation for a singularly perturbed parabolic reaction-diffusion equation with a moving concentrated source”, Matem. Mod., 15:2 (2003),  43–61  mathnet  mathscinet  zmath
47. G. I. Shishkin, “An improved piecewise uniform mesh for a singularly perturbed elliptic reaction-diffusion equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 9:2 (2003),  172–179  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 2, S138–S147
48. G. I. Shishkin, “Grid approximation of improved convergence order for a singularly perturbed elliptic convection-diffusion equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 9:1 (2003),  165–182  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 1, S184–S202
49. G. I. Shishkin, “The grid approximation of a singularly perturbed parabolic equation on a composed domain with a moving boundary containing a concentrated source”, Zh. Vychisl. Mat. Mat. Fiz., 43:12 (2003),  1806–1824  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:12 (2003), 1738–1755
50. G. I. Shishkin, “Approximation of solutions and derivative of singularly perturbed elliptic equation of convection-diffusion”, Zh. Vychisl. Mat. Mat. Fiz., 43:5 (2003),  672–689  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:5 (2003), 641–657
51. G. I. Shishkin, “The Schwarz grid method for singularly perturbed convection-diffusion parabolic equations in the case of coherent and incoherent grids on subdomains”, Zh. Vychisl. Mat. Mat. Fiz., 43:2 (2003),  251–264  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 43:2 (2003), 242–254
2002
52. G. I. Shishkin, “Piecewise-uniform grids, optimal with respect to the order of convergence, for singularly perturbed convection-diffusion equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2002, 3,  60–72  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 46:3 (2002), 56–68
53. G. I. Shishkin, “Grid approximations with an improved rate of convergence for singularly perturbed elliptic equations in domains with characteristic boundaries”, Sib. Zh. Vychisl. Mat., 5:1 (2002),  71–92  mathnet  zmath
54. G. I. Shishkin, “Grid approximation of a singularly perturbed parabolic reaction-diffusion equation with a fast-moving source”, Zh. Vychisl. Mat. Mat. Fiz., 42:6 (2002),  823–836  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:6 (2002), 788–801
2001
55. G. I. Shishkin, “Grid Approximations to Singularly Perturbed Parabolic Equations with Turning Points”, Differ. Uravn., 37:7 (2001),  987–999  mathnet  mathscinet; Differ. Equ., 37:7 (2001), 1037–1050
56. G. I. Shishkin, “A Grid Approximation to the Transport Equation in the Problem on a Flow Past a Flat Plate at Large Reynolds Numbers”, Differ. Uravn., 37:3 (2001),  415–424  mathnet  mathscinet; Differ. Equ., 37:3 (2001), 444–453
57. G. I. Shishkin, “Grid approximation of a wave equation singularly perturbed with respect to the space variable”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, 1,  67–81  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 45:1 (2001), 63–77
58. G. I. Shishkin, “The method of total approximation for singularly perturbed elliptic equations with convective terms”, Matem. Mod., 13:4 (2001),  95–108  mathnet  mathscinet  zmath
59. G. I. Shishkin, “Approximation of singularly perturbed reaction-diffusion equations on adaptive meshes”, Matem. Mod., 13:3 (2001),  103–118  mathnet  mathscinet  zmath
60. A. A. Samarskii, V. I. Mazhukin, P. P. Matus, G. I. Shishkin, “Monotone difference schemes for equations with mixed derivative”, Matem. Mod., 13:2 (2001),  17–26  mathnet  mathscinet  zmath
61. G. I. Shishkin, “A decomposition method for singularly perturbed parabolic convectiondiffusion equations with discontinuous initial conditions”, Sib. Zh. Vychisl. Mat., 4:1 (2001),  85–106  mathnet  zmath
62. G. I. Shishkin, “Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data”, Zh. Vychisl. Mat. Mat. Fiz., 41:5 (2001),  692–707  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 41:5 (2001), 649–664
63. G. I. Shishkin, “Grid approximation of the solution to the Blasius equation and of its derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 41:1 (2001),  39–56  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 41:1 (2001), 37–54
2000
64. P. W. Hemker, G. I. Shishkin, L. P. Shishkina, “Distributing the numerical solution of parabolic singularly perturbed problems with defect correction over independent processes”, Sib. Zh. Vychisl. Mat., 3:3 (2000),  229–258  mathnet  zmath
65. G. I. Shishkin, “Approximation of systems of convection-diffusion elliptic equations with parabolic boundary layers”, Zh. Vychisl. Mat. Mat. Fiz., 40:11 (2000),  1648–1661  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:11 (2000), 1582–1595
66. G. I. Shishkin, “Grid approximation of singularly perturbed boundary value problems on locally condensing grids: Convection-diffusion equations”, Zh. Vychisl. Mat. Mat. Fiz., 40:5 (2000),  714–725  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:5 (2000), 680–691
1999
67. G. I. Shishkin, “Optimization of piecewise-uniform grids for singularly perturbed equations of reaction-diffusion type”, Differ. Uravn., 35:7 (1999),  990–997  mathnet  mathscinet; Differ. Equ., 35:7 (1999), 1000–1007
68. G. I. Shishkin, “Increasing the accuracy of approximate solutions by residual correction for singularly perturbed equations with convective terms”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, 5,  81–93  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 43:5 (1999), 77–89
69. G. I. Shishkin, “Grid approximation of singularly perturbed boundary value problems on locally refined meshes. Reaction-diffusion equations”, Matem. Mod., 11:12 (1999),  87–104  mathnet  mathscinet  zmath
70. G. I. Shishkin, “Grid approximation of singularly perturbed boundary value problems in a nonconvex domain with a piecewise smooth boundary”, Matem. Mod., 11:11 (1999),  75–90  mathnet  mathscinet  zmath
71. G. I. Shishkin, “Singularly perturbed boundary value problems with locally perturbed initial conditions: Equations with convective terms”, Zh. Vychisl. Mat. Mat. Fiz., 39:2 (1999),  262–279  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:2 (1999), 249–265
1998
72. G. I. Shishkin, “Grid approximation of singularly perturbed systems of elliptic and parabolic equations with convective terms”, Differ. Uravn., 34:12 (1998),  1686–1696  mathnet  mathscinet; Differ. Equ., 34:12 (1998), 1693–1704
73. G. I. Shishkin, “Grid approximations of singularly perturbed systems for parabolic convection-diffusion equations with counterflow”, Sib. Zh. Vychisl. Mat., 1:3 (1998),  281–297  mathnet  mathscinet  zmath
74. G. I. Shishkin, “Finite-difference approximations for singularly perturbed elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 38:12 (1998),  1989–2001  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:12 (1998), 1909–1921
75. G. I. Shishkin, “Approximation of singularly perturbed elliptic equations with convective terms in the case of a flow impinging on an impermeable wall”, Zh. Vychisl. Mat. Mat. Fiz., 38:11 (1998),  1844–1859  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:11 (1998), 1768–1782
76. G. I. Shishkin, “A grid approximation for the Riemann problem in the case of the Burgers equation”, Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998),  1418–1420  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:8 (1998), 1361–1363
1997
77. G. I. Shishkin, I. V. Tselischeva, “The decomposition method for singularly perturbed boundary value problems with the local perturbation of the initial conditions. Equations with convective terms”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, 4,  98–107  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:4 (1997), 96–105
78. G. I. Shishkin, “Singularly perturbed boundary value problems with concentrated sources and discontinuous initial conditions”, Zh. Vychisl. Mat. Mat. Fiz., 37:4 (1997),  429–446  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:4 (1997), 417–434
79. G. I. Shishkin, “Grid approximation of a singularly perturbed Neumann problem for parabolic equations in the case of a discontinuous boundary function”, Zh. Vychisl. Mat. Mat. Fiz., 37:3 (1997),  378–381  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:3 (1997), 370–373
1996
80. G. I. Shishkin, “Grid approximation of singularly perturbed equations with convective terms in the case of mixed boundary conditions”, Differ. Uravn., 32:5 (1996),  689–701  mathnet  mathscinet; Differ. Equ., 32:5 (1996), 698–711
81. G. I. Shishkin, “Grid approximation of singularly perturbed quasi-linear elliptic equations in a case of multiple solutions of the reduced equation”, Matem. Mod., 8:7 (1996),  109–127  mathnet  mathscinet  zmath
82. G. I. Shishkin, I. V. Tselischeva, “Parallel methods of solving singularly perturbed boundary value problems for elliptic equations”, Matem. Mod., 8:3 (1996),  111–127  mathnet  mathscinet  zmath
83. G. I. Shishkin, “Approximation of the solutions and diffusion flows of singularly perturbed boundary-value problems with discontinuous initial conditions”, Zh. Vychisl. Mat. Mat. Fiz., 36:9 (1996),  83–104  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:9 (1996), 1233–1250  isi
84. G. I. Shishkin, “Grid approximation of parabolic equations with singular initial conditions”, Zh. Vychisl. Mat. Mat. Fiz., 36:3 (1996),  73–92  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:3 (1996), 341–356  isi
85. G. I. Shishkin, “Locally one-dimensional difference schemes for singularly perturbed parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 36:2 (1996),  42–61  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:2 (1996), 165–180  isi
1995
86. P. N. Vabishchevich, G. I. Shishkin, “Difference schemes on locally condensing grids”, Differ. Uravn., 31:7 (1995),  1179–1183  mathnet  mathscinet  zmath; Differ. Equ., 31:7 (1995), 1121–1126
87. G. I. Shishkin, “Grid approximation of quasi-linear singularly perturbed elliptic and parabolic equations with mixed boundary conditions”, Matem. Mod., 7:10 (1995),  111–126  mathnet  mathscinet  zmath
88. G. I. Shishkin, “A problem for grid approximation of the diffusion flow in numerical modelling of pollution transport”, Matem. Mod., 7:7 (1995),  61–80  mathnet  mathscinet  zmath
89. I. V. Pershin, V. A. Titov, G. I. Shishkin, “Experimental evaluation of the order of uniform convergence for special difference schemes”, Matem. Mod., 7:6 (1995),  85–94  mathnet  zmath
90. G. I. Shishkin, “Grid approximation of boundary value problems for singularly perturbed quasi-linear elliptic equations with interior layer”, Matem. Mod., 7:2 (1995),  72–88  mathnet  mathscinet  zmath
91. G. I. Shishkin, “Mesh approximation of singularly perturbed boundary-value problems for systems of elliptic and parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 35:4 (1995),  542–564  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 35:4 (1995), 429–446  isi
1994
92. G. I. Shishkin, “Grid approximation of boundary value problems for singularly perturbed quasilinear elliptic equations in the case of limit equations that are degenerate on the boundary”, Differ. Uravn., 30:7 (1994),  1244–1258  mathnet  mathscinet; Differ. Equ., 30:7 (1994), 1152–1166
93. G. I. Shishkin, “Grid approximation of singularly perturbed equations, degenerated on the boundary. The case of sharply changing coefficients in the neighbourhood of the boundary layer”, Matem. Mod., 6:5 (1994),  105–121  mathnet  mathscinet  zmath
94. G. I. Shishkin, “The method of additive separation of singularities for quasilinear singularly perturbed elliptic and parabolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 34:12 (1994),  1793–1814  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:12 (1994), 1541–1558  isi
95. G. I. Shishkin, “A grid approximation of singularly perturbed quasilinear elliptic and parabolic equations which degenerate into equations without spatial derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 34:11 (1994),  1632–1651  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:11 (1994), 1403–1419  isi
96. G. I. Shishkin, “A grid approximation of the method of additive separation of singularities for a singularly perturbed equation of parabolic type”, Zh. Vychisl. Mat. Mat. Fiz., 34:5 (1994),  720–738  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:5 (1994), 621–637  isi
1993
97. G. I. Shishkin, “Mesh approximation of singularly perturbed quasilinear elliptic equations which degenerate to a zero-order equation”, Zh. Vychisl. Mat. Mat. Fiz., 33:9 (1993),  1305–1323  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:9 (1993), 1155–1170  isi
98. G. I. Shishkin, “Lattice approximation of singularly perturbed degenerate elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 33:4 (1993),  541–560  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:4 (1993), 493–509  isi
1992
99. V. E. Tret'yakov, I. V. Tselischeva, G. I. Shishkin, “The optimal control of systems with incomplete and incorrect information”, Trudy Inst. Mat. i Mekh. UrO RAN, 2 (1992),  176–187  mathnet  mathscinet  zmath  elib
100. G. I. Shishkin, “A difference scheme for a singularly perturbed parabolic equation degenerating on the boundary”, Zh. Vychisl. Mat. Mat. Fiz., 32:5 (1992),  717–732  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:5 (1992), 621–636  isi
101. G. I. Shishkin, “A difference approximation of a singularly perturbed boundary-value problem for quasilinear elliptic equations degenerating into first-order equations”, Zh. Vychisl. Mat. Mat. Fiz., 32:4 (1992),  550–566  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:4 (1992), 467–480  isi
1991
102. V. A. Titov, G. I. Shishkin, V. V. Yakovlev, A. P. Khripunov, I. V. Pershin, “The mathematical modelling of hydrogen diffusion process in welding joints with inclusions”, Matem. Mod., 3:3 (1991),  27–35  mathnet
103. G. I. Shishkin, “Grid approximation of a singularly perturbed boundary-value problem for a quasi-linear elliptic equation in the completely degenerate case”, Zh. Vychisl. Mat. Mat. Fiz., 31:12 (1991),  1808–1825  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 31:12 (1991), 33–46  isi
104. G. I. Shishkin, “A grid approximation of singularly perturbed parabolic equations degenerate on the boundary”, Zh. Vychisl. Mat. Mat. Fiz., 31:10 (1991),  1498–1511  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 31:10 (1991), 53–63  isi
1989
105. G. I. Shishkin, “A difference scheme for a singularly perturbed equation of parabolic type with discontinuous coefficients and concentrated factors”, Zh. Vychisl. Mat. Mat. Fiz., 29:9 (1989),  1277–1290  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:5 (1989), 9–19
106. G. I. Shishkin, “Approximation of solutions of singularly perturbed boundary value problems with a parabolic boundary layer”, Zh. Vychisl. Mat. Mat. Fiz., 29:7 (1989),  963–977  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:4 (1989), 1–10
1988
107. G. I. Shishkin, “A difference scheme for a singularly perturbed equation of parabolic type with a discontinuous initial condition”, Dokl. Akad. Nauk SSSR, 300:5 (1988),  1066–1070  mathnet  mathscinet  zmath; Dokl. Math., 37:3 (1988), 792–796
108. G. I. Shishkin, “A difference scheme for a singularly perturbed equation of parabolic type with discontinuous boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 28:11 (1988),  1649–1662  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:6 (1988), 32–41
1987
109. G. I. Shishkin, “Approximation of the solutions of singularly perturbed boundary value problems with a corner boundary layer”, Dokl. Akad. Nauk SSSR, 296:1 (1987),  39–43  mathnet  mathscinet  zmath; Dokl. Math., 36:2 (1988), 240–244
110. G. I. Shishkin, “Approximation of solutions of singularly perturbed boundary-value problems with a corner boundary layer”, Zh. Vychisl. Mat. Mat. Fiz., 27:9 (1987),  1360–1374  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:5 (1987), 54–63
1986
111. G. I. Shishkin, “A difference scheme for an elliptic equation with a small parameter multiplying the highest derivatives”, Dokl. Akad. Nauk SSSR, 286:1 (1986),  57–61  mathnet  mathscinet  zmath
112. G. I. Shishkin, “Solution of a boundary value problem for an elliptic equation with small parameter multiplying the highest derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 26:7 (1986),  1019–1031  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:4 (1986), 38–46
1985
113. G. I. Shishkin, “A difference scheme for a fourth-order elliptic equation with a small parameter multiplying the derivatives”, Differ. Uravn., 21:12 (1985),  2159–2165  mathnet  mathscinet
114. G. I. Shishkin, “A difference scheme for a fourth-order ordinary differential equation with a small parameter multiplying the highest derivative”, Differ. Uravn., 21:10 (1985),  1734–1742  mathnet  mathscinet
1984
115. G. I. Shishkin, “A difference scheme for a fourth-order differential equation with a small parameter multiplying the highest derivative”, Dokl. Akad. Nauk SSSR, 275:6 (1984),  1323–1326  mathnet  mathscinet  zmath
116. G. I. Shishkin, “Increasing the accuracy of solutions of difference schemes for parabolic equations with a small parameter multiplying the highest derivative”, Zh. Vychisl. Mat. Mat. Fiz., 24:6 (1984),  864–875  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:3 (1984), 150–157
1983
117. G. I. Shishkin, “Difference scheme on a nonuniform grid for a differential equation with small parameter multiplying the highest derivative”, Zh. Vychisl. Mat. Mat. Fiz., 23:3 (1983),  609–619  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 23:3 (1983), 59–66
1979
118. G. I. Shishkin, “The numerical solution of elliptic equations with a small parameter at the leading derivatives”, Dokl. Akad. Nauk SSSR, 245:4 (1979),  804–808  mathnet  mathscinet  zmath
119. G. I. Shishkin, “Mesh method for solving elliptic equations with discontinuous boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979),  640–651  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 82–95
1978
120. G. I. Shishkin, “A difference scheme for the solution of an elliptic equation with a small parameter in a region with a curvilinear boundary”, Zh. Vychisl. Mat. Mat. Fiz., 18:6 (1978),  1466–1475  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:6 (1978), 105–115
1977
121. G. I. Shishkin, “The first boundary value problem for a second order equation with small parameters multiplying the derivatives”, Differ. Uravn., 13:2 (1977),  376–378  mathnet  mathscinet  zmath
1976
122. G. I. Shishkin, “Über ein Problem Stefanschen Typs mit Verschwinden einer der Phasen”, Differ. Uravn., 12:12 (1976),  2283–2284  mathnet  zmath
1975
123. G. I. Shishkin, “On a problem of Stefan type with discontinuous moving boundary”, Dokl. Akad. Nauk SSSR, 224:6 (1975),  1276–1278  mathnet  mathscinet  zmath
1971
124. G. I. Shishkin, “On a heat transfer problem with free boundary”, Dokl. Akad. Nauk SSSR, 197:6 (1971),  1276–1279  mathnet  mathscinet  zmath

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