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Publications in Math-Net.Ru |
Citations |
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2026 |
| 1. |
A. O. Orlov, V.T. Volkov, Zh. Xiong, “Asymmetric boundary layers in a singularly perturbed reaction–diffusion–advection problem in a ring”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 250 (2026), 44–54 |
| 2. |
A. O. Orlov, Xiong Zhuxuan, Li Zhiqiang, V.T. Volkov, “Asymmetric boundary layers in a singularly perturbed reaction-diffusion-advection problem in a two-dimensional domain”, TMF, 228:3 (2026), 586–600 ; Theoret. and Math. Phys., 228:3 (2026), 1600–1612 |
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2025 |
| 3. |
A. R. Makhmudov, A. O. Orlov, V.T. Volkov, “Front formation in the reaction-diffusion problem with nonlinear diffusion”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 243 (2025), 56–62 ; J. Math. Sci. (N. Y.), 293:6 (2025), 793–799 |
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2024 |
| 4. |
E. I. Nikulin, V. T. Volkov, A. G. Nikitin, “On contrast structures in a problem of the baretting effect
theory”, TMF, 220:1 (2024), 154–163 ; Theoret. and Math. Phys., 220:1 (2024), 1193–1200 |
1
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| 5. |
P. E. Bulatov, Han Cheng, Yuxuan Wei, V. T. Volkov, N. T. Levashova, “Boundary control problem for the reaction–advection–diffusion equation with a modulus discontinuity of advection”, TMF, 220:1 (2024), 44–58 ; Theoret. and Math. Phys., 220:1 (2024), 1097–1109 |
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2022 |
| 6. |
V.T. Volkov, N. N. Nefedov, “Boundary control of fronts in a Burgers-type equation with modular adhesion and periodic amplification”, TMF, 212:2 (2022), 179–189 ; Theoret. and Math. Phys., 212:2 (2022), 1044–1052 |
| 7. |
V.T. Volkov, N. N. Nefedov, “Asymptotic solution of the boundary control problem for a Burgers-type equation with modular advection and linear gain”, Zh. Vychisl. Mat. Mat. Fiz., 62:11 (2022), 1851–1860 ; Comput. Math. Math. Phys., 62:11 (2022), 1849–1858 |
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2020 |
| 8. |
V.T. Volkov, N. N. Nefedov, “Asymptotic solution of coefficient inverse problems for Burgers-type equations”, Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020), 975–984 ; Comput. Math. Math. Phys., 60:6 (2020), 950–959 |
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2019 |
| 9. |
V.T. Volkov, D. V. Lukyanenko, N. N. Nefedov, “Analytical-numerical approach to describing time-periodic motion of fronts in singularly perturbed reaction–advection–diffusion models”, Zh. Vychisl. Mat. Mat. Fiz., 59:1 (2019), 50–62 ; Comput. Math. Math. Phys., 59:1 (2019), 46–58 |
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2017 |
| 10. |
D. V. Luk'yanenko, V. T. Volkov, N. N. Nefedov, “Dynamically adapted mesh construction for the efficient numerical solution of a singular perturbed reaction-diffusion-advection equation”, Model. Anal. Inform. Sist., 24:3 (2017), 322–338 |
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| 11. |
E. A. Antipov, V. T. Volkov, N. T. Levashova, N. N. Nefedov, “Moving front solution of the reaction-diffusion problem”, Model. Anal. Inform. Sist., 24:3 (2017), 259–279 |
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2016 |
| 12. |
D. V. Lukyanenko, V. T. Volkov, N. N. Nefedov, L. Recke, K. Schneider, “Analytic-numerical approach to solving singularly perturbed parabolic equations with the use of dynamic adapted meshes”, Model. Anal. Inform. Sist., 23:3 (2016), 334–341 |
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2014 |
| 13. |
S. A. Gudoshnikov, Yu. B. Grebenshchikov, V.T. Volkov, Yu. V. Prokhorova, “Magnetic and screening properties of amorphous ferromagnetic ribbons”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 40:19 (2014), 42–50 ; Tech. Phys. Lett., 40:10 (2014), 849–852 |
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2010 |
| 14. |
V. T. Volkov, N. E. Grachev, A. V. Dmitriev, N. N. Nefedov, “Front formation and dynamics in the reaction-diffusion-advection model”, Mat. Model., 22:8 (2010), 109–118 ; Math. Models Comput. Simul., 3:2 (2011), 158–164 |
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| 15. |
N. E. Grachev, A. V. Dmitriev, D. S. Senin, V. T. Volkov, N. N. Nefedov, “Simulation of in-situ combustion front dynamics”, Num. Meth. Prog., 11:4 (2010), 306–312 |
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2007 |
| 16. |
V. T. Volkov, N. E. Grachëv, N. N. Nefedov, A. N. Nikolaev, “On the formation of sharp transition layers in two-dimensional reaction-diffusion models”, Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007), 1356–1364 ; Comput. Math. Math. Phys., 47:8 (2007), 1301–1309 |
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2006 |
| 17. |
V. T. Volkov, N. N. Nefedov, “Development of the asymptotic method of differential inequalities for investigation of periodic contrast structures in reaction-diffusion equations”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006), 615–623 ; Comput. Math. Math. Phys., 46:4 (2006), 585–593 |
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1994 |
| 18. |
V. T. Volkov, N. N. Nefedov, “Periodic solutions with boundary layers of a singularly perturbed reaction–diffusion model”, Zh. Vychisl. Mat. Mat. Fiz., 34:8-9 (1994), 1307–1315 ; Comput. Math. Math. Phys., 34:8-9 (1994), 1133–1140 |
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1991 |
| 19. |
A. B. Vasil'eva, V. T. Volkov, “Asymptotic approximation of a periodic solution of the second boundary-value problem for systems with small diffusion”, Mat. Zametki, 49:5 (1991), 32–36 ; Math. Notes, 49:5 (1991), 463–466 |
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1989 |
| 20. |
A. B. Vasil'eva, V. T. Volkov, “The asymptotic of periodic solutions of some systems with small diffusion”, Mat. Model., 1:4 (1989), 150–154 |
| 21. |
V. T. Volkov, S. V. Kryuchkov, I. A. Obukhov, S. V. Rumyantsev, “Numerical-asymptotic analysis of transient processes in semiconductors”, Zh. Vychisl. Mat. Mat. Fiz., 29:8 (1989), 1159–1167 ; U.S.S.R. Comput. Math. Math. Phys., 29:4 (1989), 132–138 |
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1985 |
| 22. |
A. B. Vasil'eva, V.T. Volkov, “Periodic solutions of a singularly perturbed equation of parabolic
type”, Dokl. Akad. Nauk SSSR, 285:1 (1985), 15–19 |
| 23. |
A. B. Vasil'eva, V. T. Volkov, “Periodic solutions of singularly perturbed equations of parabolic type”, Differ. Uravn., 21:10 (1985), 1755–1760 |
| 24. |
A. B. Vasil'eva, V. T. Volkov, “Periodic solutions of some singularly-perturbed equations of parabolic type”, Zh. Vychisl. Mat. Mat. Fiz., 25:4 (1985), 609–614 ; U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 182–186 |
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