M. A. Shishlenin, S. E. Kasenov, Zh. A. Askerbekova, 998, Computational and Information Technologies in Science, Engineering and Education, 2019, 197
R. L. Argun, A. V. Gorbachev, D. V. Lukyanenko, M. A. Shishlenin, “Features of Numerical Reconstruction of a Boundary Condition in an Inverse Problem for a Reaction–Diffusion–Advection Equation with Data on the Position of a Reaction Front”, Comput. Math. and Math. Phys., 62, № 3, 2022, 441
S. B. Sorokin, “A Difference Method for Calculating the Heat Flux on an Inaccessible Boundary in a Heat Conduction Problem”, J. Appl. Ind. Math., 17, № 3, 2023, 651
D. V. Lukyanenko, R. L. Argun, A. A. Borzunov, A. V. Gorbachev, V. D. Shinkarev, M. A. Shishlenin, A. G. Yagola, “On the Features of Numerical Solution of Coefficient Inverse Problems for Nonlinear Equations of the Reaction–Diffusion–Advection Type with Data of Various Types”, Diff Equat, 59, № 12, 2023, 1734
Dmitry Lukyanenko, Tatyana Yeleskina, Igor Prigorniy, Temur Isaev, Andrey Borzunov, Maxim Shishlenin, “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 Time Delay”, Mathematics, 9, № 4, 2021, 342
Raul Argun, Alexandr Gorbachev, Dmitry Lukyanenko, Maxim Shishlenin, “On Some Features of the Numerical Solving of Coefficient Inverse Problems for an Equation of the Reaction-Diffusion-Advection-Type with Data on the Position of a Reaction Front”, Mathematics, 9, № 22, 2021, 2894
Dmitriy V. Klyuchinskiy, Nikita S. Novikov, Maxim A. Shishlenin, “CPU-time and RAM memory optimization for solving dynamic inverse problems using gradient-based approach”, Journal of Computational Physics, 439, 2021, 110374
Mikhail A. Botchev, Sergey I. Kabanikhin, Maxim A. Shishlenin, Eugene E. Tyrtyshnikov, “The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method”, Journal of Inverse and Ill-posed Problems, 2023
Natalia Levashova, Alexandr Gorbachev, Raul Argun, Dmitry Lukyanenko, “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”, Symmetry, 13, № 5, 2021, 860
D.V. Lukyanenko, A.A. Borzunov, M.A. Shishlenin, “Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front”, Communications in Nonlinear Science and Numerical Simulation, 99, 2021, 105824