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 | 47 | 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 | 43 | 2016 |
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 | 39 | 2021 |
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 | 34 | 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 | 33 | 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 |
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 | 25 | 2018 |
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 | 25 | 2017 |
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 |
Some methods for solving of 3d inverse problem of magnetometry DV Lukyanenko, AG Yagola Eurasian J. Math. Comput. Appl 4 (3), 4-14, 2016 | 20 | 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 |
The problem of the non-uniqueness of the solution to the inverse problem of recovering the symmetric states of a bistable medium with data on the position of an autowave front N Levashova, A Gorbachev, R Argun, D Lukyanenko Symmetry 13 (5), 860, 2021 | 18 | 2021 |
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 | 18 | 2021 |
Magnetic parameters inversion method with full tensor gradient data. Y Wang, D Lukyanenko, A Yagola Inverse Problems & Imaging 13 (4), 2019 | 18 | 2019 |
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 |
Use of asymptotic analysis for solving the inverse problem of source parameters determination of nitrogen oxide emission in the atmosphere SA Zakharova, MA Davydova, DV Lukyanenko Inverse Problems in Science and Engineering 29 (3), 365-377, 2021 | 16 | 2021 |
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 | 16 | 2018 |
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 |