Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data DV Lukyanenko, MA Shishlenin, VT Volkov Communications in Nonlinear Science and Numerical Simulation 54, 233-247, 2018 | 62 | 2018 |
Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction–diffusion equation with the location of moving front data DV Lukyanenko, VB Grigorev, VT Volkov, MA Shishlenin Computers & Mathematics with Applications 77 (5), 1245-1254, 2019 | 55 | 2019 |
Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation DV Lukyanenko, MA Shishlenin, VT Volkov Journal of Inverse and Ill-Posed Problems 27 (5), 745-758, 2019 | 49 | 2019 |
Development of the asymptotic method of differential inequalities for investigation of periodic contrast structures in reaction-diffusion equations VT Volkov, NN Nefedov Computational Mathematics and Mathematical Physics 46, 585-593, 2006 | 43 | 2006 |
Asymptotic-numerical investigation of generation and motion of fronts in phase transition models V Volkov, N Nefedov Numerical Analysis and Its Applications: 5th International Conference, NAA …, 2013 | 30 | 2013 |
Use of asymptotics for new dynamic adapted mesh construction for periodic solutions with an interior layer of reaction-diffusion-advection equations D Lukyanenko, N Nefedov, E Nikulin, V Volkov Numerical Analysis and Its Applications: 6th International Conference, NAA …, 2017 | 24 | 2017 |
Dynamically adapted mesh construction for the efficient numerical solution of a singular perturbed reaction-diffusion-advection equation DV Lukyanenko, VT Volkov, NN Nefedov Моделирование и анализ информационных систем 24 (3), 322-338, 2017 | 17 | 2017 |
Analytical-numerical approach to describing time-periodic motion of fronts in singularly perturbed reaction–advection–diffusion models VT Volkov, DV Lukyanenko, NN Nefedov Computational Mathematics and Mathematical Physics 59, 46-58, 2019 | 15 | 2019 |
Asymptotic-numerical method for the location and dynamics of internal layers in singular perturbed parabolic problems V Volkov, D Lukyanenko, N Nefedov Numerical Analysis and Its Applications: 6th International Conference, NAA …, 2017 | 15 | 2017 |
Application of asymptotic analysis for solving the inverse problem of determining the coefficient of linear amplification in Burgers’ equation DV Lukyanenko, VT Volkov, NN Nefedov, AG Yagola Moscow University Physics Bulletin 74, 131-136, 2019 | 14 | 2019 |
Asymptotic solution of coefficient inverse problems for Burgers-type equations VT Volkov, NN Nefedov Computational Mathematics and Mathematical Physics 60, 950-959, 2020 | 13 | 2020 |
Analytic-numerical approach to solving singularly perturbed parabolic equations with the use of dynamic adapted meshes DV Lukyanenko, VT Volkov, NN Nefedov, L Recke, KR Schneider Моделирование и анализ информационных систем 23 (3), 334-341, 2016 | 13 | 2016 |
Asymptotic solution of the inverse problem for restoring the modular type source in Burgers’ equation with modular advection NN Nefedov, VT Volkov Journal of Inverse and Ill-posed Problems 28 (5), 633-639, 2020 | 12 | 2020 |
Use of real-time operating systems in the integrated modular avionics E Fedosov, I Koverninsky, A Kan, V Volkov, Y Solodelov Procedia Computer Science 103, 384-387, 2017 | 12 | 2017 |
Asymptotic-numerical method for moving fronts in two-dimensional rda problems V Volkov, N Nefedov, E Antipov Finite Difference Methods, Theory and Applications: 6th International …, 2015 | 12 | 2015 |
On the formation of sharp transition layers in two-dimensional reaction-diffusion models VT Volkov, NE Grachev, NN Nefedov, AN Nikolaev Computational Mathematics and Mathematical Physics 47, 1301-1309, 2007 | 11 | 2007 |
Moving front solution of the reaction-diffusion problem EA Antipov, VT Volkov, NT Levashova, NN Nefedov Modeling and Analysis of Information Systems 24 (3), 259-279, 2017 | 8 | 2017 |
Integral equations VT Volkov, AG Yagola Calculus of variations, KDU, 2007 | 7 | 2007 |
Numerical simulation of front dynamics in a nonlinear singularly perturbed reaction–diffusion problem RL Argun, VT Volkov, DV Lukyanenko Journal of Computational and Applied Mathematics 412, 114294, 2022 | 6 | 2022 |
Lecture Notes in Computer VT Volkov, NN Nefedov, EA Antipov Science 8236, 524, 2013 | 6 | 2013 |