Dmitry V. Lukyanenko

Available identifiers

zbMath Open lukyanenko.dmitrii-vitalevichMaRDI QIDQ2010474

List of research outcomes

Publication	Date of Publication	Type
On the features of numerical solution of coefficient inverse problems for nonlinear equations of the reaction-diffusion-advection type with data of various types	2024-02-27	Paper
On the uniqueness of solution to systems of linear algebraic equations to which the inverse problems of gravimetry and magnetometry are reduced: a regional variant	2023-10-19	Paper
On the uniqueness of solutions to systems of linear algebraic equations resulting from the reduction of linear inverse problems of gravimetry and magnetometry: a local case	2023-10-19	Paper
Raising the accuracy of monitoring the optical coating deposition by application of a nonlocal algorithm of data analysis	2022-12-09	Paper
On phase correction in tomographic research	2022-12-09	Paper
Numerical simulation of front dynamics in a nonlinear singularly perturbed reaction-diffusion problem	2022-05-25	Paper
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	2022-04-26	Paper
Comparative analysis of algorithms for solving inverse problems related to monochromatic monitoring the deposition of multilayer optical coatings	2021-11-15	Paper
Reconstruction algorithm of 3D surface in scanning electron microscopy with backscattered electron detector	2021-10-04	Paper
Use of asymptotic analysis for solving the inverse problem of source parameters determination of nitrogen oxide emission in the atmosphere	2021-09-29	Paper
Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front	2021-05-14	Paper
Some features of solving an inverse backward problem for a generalized Burgers' equation	2021-03-31	Paper
Local solvability and a priori estimates for classical solutions to an equation of Benjamin‐Bona‐Mahony‐Bürgers type	2021-01-12	Paper
Stable method for optical monitoring the deposition of multilayer optical coatings	2021-01-08	Paper
Blow‐up for Joseph–Egri equation: Theoretical approach and numerical analysis	2020-11-09	Paper
Analytical-numerical study of finite-time blow-up of the solution to the initial-boundary value problem for the nonlinear Klein-Gordon equation	2020-11-03	Paper
Reconstruction of magnetic susceptibility using full magnetic gradient data	2020-10-23	Paper
Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data	2020-10-16	Paper
Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction-diffusion equation with the location of moving front data	2020-10-02	Paper
Diagnostics of Instant Decomposition of Solution in the Nonlinear Equation of Theory of Waves in Semiconductors	2020-04-17	Paper
Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation	2019-11-27	Paper
Blow-Up of Fronts in Burgers Equation with Nonlinear Amplification: Asymptotics and Numerical Diagnostics	2019-10-10	Paper
Some Features of the Asymptotic-Numerical Method for the Moving Fronts Description in Two-Dimensional Reaction-Diffusion Problems	2019-10-10	Paper
Magnetic parameters inversion method with full tensor gradient data	2019-07-26	Paper
Analytical-numerical approach to describing time-periodic motion of fronts in singularly perturbed reaction-advection-diffusion models	2019-07-19	Paper
Comparison of algorithms for determining the thickness of optical coatings online	2019-07-19	Paper
Analytic-numerical investigation of combustion in a nonlinear medium	2019-01-15	Paper
https://portal.mardi4nfdi.de/entity/Q4961284	2018-10-26	Paper
On the blow‐up phenomena for a 1‐dimensional equation of ion sound waves in a plasma: Analytical and numerical investigation	2018-07-11	Paper
Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities	2018-06-22	Paper
Local Solvability and Decay of the Solution of an Equation with Quadratic Noncoercive Nonlineatity	2018-01-08	Paper
Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors	2017-12-12	Paper
Algorithms for solving inverse problems in the optics of layered media based on comparing the extrema of spectral characteristics	2017-08-31	Paper
Use of Asymptotics for New Dynamic Adapted Mesh Construction for Periodic Solutions with an Interior Layer of Reaction-Diffusion-Advection Equations	2017-07-07	Paper
Front Dynamics in an Activator-Inhibitor System of Equations	2017-07-07	Paper
Asymptotic-Numerical Method for the Location and Dynamics of Internal Layers in Singular Perturbed Parabolic Problems	2017-07-07	Paper
Blow-up phenomena in the model of a space charge stratification in semiconductors: analytical and numerical analysis	2017-05-19	Paper
Using Lagrange principle for solving two-dimensional integral equation with a positive kernel	2016-07-08	Paper
Blow-up for one Sobolev problem: theoretical approach and numerical analysis	2016-06-09	Paper
https://portal.mardi4nfdi.de/entity/Q2795038	2016-03-18	Paper
An optimal regularization method for convolution equations on the sourcewise represented set	2015-10-27	Paper
https://portal.mardi4nfdi.de/entity/Q5501385	2015-08-03	Paper
Inverse problem of determining the thickness of optical coatings layers from the data of monochromatic control	2015-07-30	Paper
https://portal.mardi4nfdi.de/entity/Q5167111	2014-07-09	Paper
Application of inversion methods in solving ill-posed problems for magnetic parameter identification of steel hull vessel	2014-01-30	Paper

Research outcomes over time

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