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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
G. I. Shishkin, L. P. Shishkina, “An improved difference scheme for the Cauchy problem in the case of a transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023), 1272–1278 ; Comput. Math. Math. Phys., 63:8 (2023), 1401–1407 |
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2022 |
2. |
G. I. Shishkin, L. P. Shishkina, “A difference scheme of the decomposition method for an initial boundary value problem for the singularly perturbed transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 62:7 (2022), 1224–1232 ; Comput. Math. Math. Phys., 62:7 (2022), 1193–1201 |
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3. |
G. I. Shishkin, L. P. Shishkina, “Erratum to: Monotone decomposition of the Cauchy problem for a hyperbolic equation based on transport equations”, Comput. Math. Math. Phys., 62:4 (2022), 700 |
4. |
G. I. Shishkin, L. P. Shishkina, “Monotone decomposition of the Cauchy problem for a hyperbolic equation based on transport equations”, Zh. Vychisl. Mat. Mat. Fiz., 62:3 (2022), 442–450 ; Comput. Math. Math. Phys., 62:3 (2022), 432–440 |
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2016 |
5. |
L. P. Shishkina, “Numerical study of an initial-boundary value Neumann problem for a singularly perturbed parabolic equation”, Model. Anal. Inform. Sist., 23:5 (2016), 568–576 |
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2015 |
6. |
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 ; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 262–275 |
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7. |
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 ; Comput. Math. Math. Phys., 55:3 (2015), 386–409 |
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2014 |
8. |
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 |
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2011 |
9. |
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 ; Comput. Math. Math. Phys., 51:6 (2011), 1020–1049 |
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2010 |
10. |
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 ; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S197–S214 |
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11. |
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 ; Comput. Math. Math. Phys., 50:12 (2010), 2003–2022 |
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12. |
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 ; Comput. Math. Math. Phys., 50:4 (2010), 633–645 |
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13. |
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 ; Comput. Math. Math. Phys., 50:3 (2010), 437–456 |
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2009 |
14. |
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 ; Comput. Math. Math. Phys., 49:5 (2009), 810–826 |
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2008 |
15. |
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 ; Comput. Math. Math. Phys., 48:4 (2008), 627–640 |
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2007 |
16. |
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 ; Comput. Math. Math. Phys., 47:3 (2007), 442–462 |
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2005 |
17. |
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 ; Differ. Equ., 41:7 (2005), 1030–1039 |
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2004 |
18. |
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 ; Comput. Math. Math. Phys., 44:2 (2004), 309–316 |
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2003 |
19. |
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 |
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2000 |
20. |
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 |
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