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 | 61 | 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 | 49 | 2019 |
Blow-up for one Sobolev problem: theoretical approach and numerical analysis MO Korpusov, DV Lukyanenko, AA Panin, EV Yushkov Journal of Mathematical Analysis and Applications 442 (2), 451-468, 2016 | 44 | 2016 |
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 | 43 | 2019 |
Blow‐up phenomena in the model of a space charge stratification in semiconductors: analytical and numerical analysis MO Korpusov, DV Lukyanenko, AA Panin, EV Yushkov Mathematical Methods in the Applied Sciences 40 (7), 2336-2346, 2017 | 35 | 2017 |
Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors MO Korpusov, DV Lukyanenko Journal of Mathematical Analysis and Applications 459 (1), 159-181, 2018 | 34 | 2018 |
Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front DV Lukyanenko, AA Borzunov, MA Shishlenin Communications in Nonlinear Science and Numerical Simulation 99, 105824, 2021 | 32 | 2021 |
On the blow‐up phenomena for a 1‐dimensional equation of ion sound waves in a plasma: Analytical and numerical investigation MO Korpusov, DV Lukyanenko, AA Panin, GI Shlyapugin Mathematical Methods in the Applied Sciences 41 (8), 2906-2929, 2018 | 26 | 2018 |
Application of inversion methods in solving ill-posed problems for magnetic parameter identification of steel hull vessel DV Lukyanenko, AG Yagola, NA Evdokimova Walter de Gruyter GmbH & Co. KG 18 (9), 1013-1029, 2011 | 26 | 2011 |
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 |
Front dynamics in an activator-inhibitor system of equations A Melnikova, N Levashova, D Lukyanenko Numerical Analysis and Its Applications: 6th International Conference, NAA …, 2017 | 22 | 2017 |
Some methods for solving of 3d inverse problem of magnetometry DV Lukyanenko, AG Yagola Eurasian J. Math. Comput. Appl 4 (3), 4-14, 2016 | 19 | 2016 |
Recovering aerosol particle size distribution function on the set of bounded piecewise-convex functions YF Wang, Y Zhang, DV Lukyanenko, AG Yagola Inverse Problems in Science and Engineering 21 (2), 339-354, 2013 | 19 | 2013 |
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 |
Inverse problem of recovering the initial condition for a nonlinear equation of the reaction–diffusion–advection type by data given on the position of a reaction front with a … D Lukyanenko, T Yeleskina, I Prigorniy, T Isaev, A Borzunov, ... Mathematics 9 (4), 342, 2021 | 16 | 2021 |
Magnetic parameters inversion method with full tensor gradient data. Y Wang, D Lukyanenko, A Yagola Inverse Problems & Imaging 13 (4), 2019 | 16 | 2019 |
Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities MO Korpusov, DV Lukyanenko, AA Panin, EV Yushkov Izvestiya: Mathematics 82 (2), 283, 2018 | 16 | 2018 |
Local solvability and decay of the solution of an equation with quadratic noncoercive nonlineatity MO Korpusov, DV Lukyanenko, EA Ovsyannikov, AA Panin Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie …, 2017 | 16 | 2017 |
Application of a three-dimensional radiative transfer model to retrieve the species composition of a mixed forest stand from canopy reflected radiation N Levashova, D Lukyanenko, Y Mukhartova, A Olchev Remote Sensing 10 (10), 1661, 2018 | 15 | 2018 |
Correlation of errors in optical coating production with broad band monitoring AV Tikhonravov, IV Kochikov, IA Matvienko, TF Isaev, DV Lukyanenko, ... Numerical methods and programming 19 (4), 439-448, 2018 | 15 | 2018 |