Use of Asymptotics for New Dynamic Adapted Mesh Construction for Periodic Solutions with an Interior Layer of Reaction-Diffusion-Advection Equations. - Dmitry Lukyanenko; Nikolay N. Nefedov; Egor Nikulin; Vladimir Volkov 001 (NAA, 2016)

Front Dynamics in an Activator-Inhibitor System of Equations. - Alina Melnikova; Natalia Levashova; Dmitry Lukyanenko (NAA, 2016)

Asymptotic-Numerical Method for the Location and Dynamics of Internal Layers in Singular Perturbed Parabolic Problems. - Vladimir Volkov 001; Dmitry Lukyanenko; Nikolay N. Nefedov (NAA, 2016)

Blow-Up of Fronts in Burgers Equation with Nonlinear Amplification: Asymptotics and Numerical Diagnostics. - Dmitry Lukyanenko; Nikolay N. Nefedov (FDM, 2018)

Some Features of the Asymptotic-Numerical Method for the Moving Fronts Description in Two-Dimensional Reaction-Diffusion Problems. - Vladimir Volkov 001; Dmitry Lukyanenko (FDM, 2018)

Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data. - Dmitry Lukyanenko; Maxim A. Shishlenin; Vladimir T. Volkov (Commun. Nonlinear Sci. Numer. Simul., 2018)

Application of a Three-Dimensional Radiative Transfer Model to Retrieve the Species Composition of a Mixed Forest Stand from Canopy Reflected Radiation. - Natalia Levashova; Dmitry Lukyanenko; Yulia Mukhartova; Alexander Olchev (Remote. Sens., 2018)

Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction-diffusion equation with the location of moving front data. - Dmitry Lukyanenko; Valentin B. Grigorev; Vladimir T. Volkov; Maxim A. Shishlenin (Comput. Math. Appl., 2019)

Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front. - Dmitry Lukyanenko; A. A. Borzunov; Maxim A. Shishlenin (Commun. Nonlinear Sci. Numer. Simul., 2021)

Recovering the Magnetic Image of Mars from Satellite Observations. - Igor Kolotov; Dmitry Lukyanenko; Inna E. Stepanova; Yanfei Wang; Anatoly Yagola (J. Imaging, 2021)

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. - Natalia Levashova; Alexandr Gorbachev; Raul Argun; Dmitry Lukyanenko (Symmetry, 2021)

Accounting for Round-Off Errors When Using Gradient Minimization Methods. - Dmitry Lukyanenko; Valentin Shinkarev; Anatoly Yagola (Algorithms, 2022)

Numerical simulation of front dynamics in a nonlinear singularly perturbed reaction-diffusion problem. - Raul Argun; Vladimir Volkov 001; Dmitry Lukyanenko (J. Comput. Appl. Math., 2022)

Parallel Algorithm for Solving Overdetermined Systems of Linear Equations, Taking into Account Round-Off Errors. - Dmitry Lukyanenko (Algorithms, 2023)

Recovering the Near-Surface Magnetic Image of Mercury from Satellite Observations. - Igor Kolotov; Dmitry Lukyanenko; Inna E. Stepanova; Yanfei Wang; Anatoly Yagola (Remote. Sens., 2023)

Joint Gravity and Magnetic Inversion Using CNNs' Deep Learning. - Zhijing Bai; Yanfei Wang; Chenzhang Wang; Caixia Yu; Dmitry Lukyanenko; Inna E. Stepanova; Anatoly Yagola (Remote. Sens., 2024)