Online Library. Theme: Physical and mathematical sciences (p.7)
Found: 181
Found: 181
| Title: | ON THE EXISTENCE OF NONLINEARIZABLE SOLUTIONS OF A NONCLASSICAL TWO-PARAMETER NONLINEAR BOUNDARY VALUE PROBLEM |
| Author: | Мартынова Валерия Юрьевна |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2024 |
| Publishing house: | Pleiades Publishing |
| Title: | On the Fredholm Property and Solvability of a System of Integral Equations in the Transmission Problem for the Helmholtz Equation |
| Author: | Кондырев Олег Владимирович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2023 |
| Publishing house: | Pleiades Publishing |
| Title: | On the Solvability of the Problem of Electromagnetic Wave Diffraction by a Layer Filled with a Nonlinear Medium |
| Author: | Мартынова Валерия Юрьевна Смолькин Евгений Юрьевич Мартынова Валерия Юрьевна |
| Type: | Article |
| Kind: | Electronic copy |
| Annotation: | The problem of diffraction of a polarized electromagnetic wave by a layer filled with a nonlinear medium is considered. The layer is located between two half-spaces with constant permittivities. Two widely used types of nonlinearities: saturation nonlinearity and Kerr nonlinearity are considered. It is proved that the results on the solvability of the problems in these cases are qualitatively different: in the case of saturation nonlinearity, there are conditions under which the diffraction problem has a unique solution and, in the case of Kerr nonlinearity, the diffraction problem always has an infinite set of solutions. Analytical and numerical methods for solving this kind of problems are developed. Numerical results are presented. |
| Publication date: | 2019 |
| Publishing house: | Springer |
| Title: | On the unique existence of the classical solution to the problem of electromagnetic wave diffraction by an inhomogeneous lossless dielectric body |
| Author: | Цупак Алексей Александрович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2017 |
| Publishing house: | Pleiades Publishing, USA |
| Title: | On the Uniqueness of a Solution to an Inverse Problem of Scattering by an Inhomogeneous Solid with a Piecewise Hölder Refractive Index in a Special Function Class |
| Author: | Цупак Алексей Александрович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2019 |
| Publishing house: | Springer |
| Title: | On the volume singular integro-differential equation approach for the electromagnetic diffraction problem |
| Author: | Цупак Алексей Александрович Валовик Дмитрий Викторович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2017 |
| Publishing house: | Taylor & Francis, UK |
| Title: | Operator Pencil Approach in an Electromagnetic Problem of Symmetric Wave Propagation in a Plane Shielded Waveguide |
| Author: | Валовик Дмитрий Викторович Москалева Марина Александровна Мартынова Валерия Юрьевна Мартынова Валерия Юрьевна |
| Type: | Article |
| Kind: | Electronic edition |
| Publication date: | 2020 |
| Publishing house: | Springer |
| Title: | Perturbation Method in the Theory of Propagation of Two-Frequency Electromagnetic Waves in a Nonlinear Waveguide I: TE-TE Waves |
| Author: | Валовик Дмитрий Викторович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2021 |
| Publishing house: | Springer |
| Title: | Perturbation of nonlinear operators in the theory of nonlinear multifrequency electromagnetic wave propagation |
| Author: | Валовик Дмитрий Викторович Тихов Станислав Вячеславович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2019 |
| Publishing house: | Elsevier |
| Title: | Photoinduced Modulation of the Dielectric Permittivity in a System of Interacting Quantum Dots in an External Electric Field |
| Author: | Vladimir Dmitrievich Разумов Алексей Викторович Mikhail Borisovich |
| Type: | Article |
| Kind: | Electronic copy |
| Annotation: | At present, much attention is paid to the dielectric engineering of the material of the surrounding matrix and low-dimensional structures, which makes it possible to purposefully change their properties and optimize the characteristics of semiconductor devices. The aim of this work is a theoretical study of the influence of the pair interaction of quantum dots (QDs), as well as their interaction with the surrounding matrix through 2D dissipative tunneling, on the photodielectric effect (PDE) associated with the excitation of an impurity complex A+ + e in a QD system in an external electric field. Interaction of an electron with a hole in an impurity complex A+ + e in a QD has been considered in the adiabatic approximation. The dispersion equations for a hole in an impurity complex A+ + e in the presence of an external electric field and 2D dissipative tunneling for the s- and p-states of an electron in a QD are obtained within the framework of the zero-range potential model in the effective mass approximation. The influence of the electric field on the ground state of an electron in a QD has been taken into account in the second order of the perturbation theory. The probability of 2D dissipative tunneling is calculated in the one-instanton semiclassical approximation. The relative change in dielectric permittivity has been calculated in the dipole approximation. PDE field-dependence curves have been plotted for InSb QDs. It is shown that the PDE field dependence at a certain value of the strength of an external electric field and the parameters of 2D dissipative tunneling has a characteristic kink associated with the effect of 2D bifurcation, when, under the action of an electric field, the double-well oscillatory potential simulating the “QD–surrounding matrix” system is transformed and the tunnel transfer mode changes from synchronous to asynchronous. It has been established that there are irregular oscillations on the PDE curves in the vicinity of the 2D bifurcation point, which are associated with the regime of quantum beats. It is shown that the amplitude of the oscillations increases with increasing phonon mode frequency and temperature, while the break point shifts towards weaker fields. It has been found that an increase in the constant of interaction with the contact medium, as well as with the constant of the pair interaction of QDs, leads to the suppression of the PDE. |
| Publication date: | 2023 |
| Publishing house: | Springer |
| Title: | Physics-Informed Neural Networks and their Implementation in MATLAB |
| Author: | Горбаченко Владимир Иванович Карманова Зоя Андреевна |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2023 |
| Publishing house: | IEEE |
| Title: | Physics-informed radial basis function networks and Kolmogorov-Arnold networks |
| Author: | Горбаченко Владимир Иванович Стенькин Дмитрий Александрович |
| Type: | Article |
| Kind: | Electronic edition |
| Publication date: | 2025 |
| Publishing house: | Институт систем информатики им. А.П. Ершова Сибирского отделения Российской академии наук |
| Title: | Physics-Informed Radial Basis Function Networks: Solving Inverse Problems for Partial Differential Equations |
| Author: | Горбаченко Владимир Иванович Стенькин Дмитрий Александрович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2023 |
| Publishing house: | Springer International Publishing, Switzerland |
| Title: | Physics-Informed Radial Basis-Function Networks |
| Author: | Горбаченко Владимир Иванович Стенькин Дмитрий Александрович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2023 |
| Publishing house: | Springer |
| Title: | Polynomial Spline Collocation Method for Solving Weakly Regular Volterra Integral Equations of the First kind. |
| Author: | Тында Александр Николаевич |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2022 |
| Publishing house: | Иркутский государственный университет |
| Title: | Problem of Coupled Electromagnetic TE-TE Wave Propagation in a Layer Filled with Nonlinear Medium with Saturation |
| Author: | Мартынова Валерия Юрьевна Мартынова Валерия Юрьевна |
| Type: | Article |
| Kind: | Electronic copy |
| Annotation: | Propagation of coupled electromagnetic TE-TE wave in a nonlinear plane layer is considered. The layer is located between two half-spaces with constant permittivities. The permittivity in the layer is described by nonlinearity with saturation. The physical problem is reduced to a nonlinear two-parameter eigenvalue problem for a system of (nonlinear) ordinary differential equations. Existence and uniqueness of solution to the two-parameter eigenvalue problem is proved. Iteration method for solving given problem is presented. Convergence theorem of the iteration method is proved. |
| Publication date: | 2019 |
| Publishing house: | Springer |
| Title: | Propagation of electromagnetic waves in a shielded dielectric layer with cubic nonlinearity |
| Author: | Валовик Дмитрий Викторович Тихов Станислав Вячеславович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2018 |
| Publishing house: | IEEE Publisher |
| Title: | Propagation of Electromagnetic Waves in an Open Planar Dielectric Waveguide Filled with an Nonlinear Medium I: TE Waves |
| Author: | Валовик Дмитрий Викторович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2019 |
| Publishing house: | Springer |
| Title: | Propagation of TM waves in a shielded plane waveguide with anisotropic Kerr nonlinearity |
| Author: | Валовик Дмитрий Викторович Тихов Станислав Вячеславович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2019 |
| Publishing house: | IEEE Publisher |
| Title: | Radial Basis Function Networks Learning to Solve Approximation Problems |
| Author: | Горбаченко Владимир Иванович |
| Type: | Article |
| Kind: | Electronic edition |
| Annotation: | The purpose of the paper is the development and experimental study of new fast learning algorithms for radial basis function networks in solving approximation problems. To learn radial basis function networks, algorithms based on first-order methods have been developed for the first time: gradient descent with a pulse, Nesterov’s accelerated gradient algorithm and RMSProp in combination with Nesterov’s accelerated gradient. The advantages of sequential adjustment of parameters in each iterative cycle of network training are shown. The implementation of the Levenberg-Marquardt method for training radial basis function networks has been developed. With the help of the Levenberg-Marquardt method, the same results can be achieved as with the more complex algorithm of the method of trust regions. The developed algorithms have been experimentally studied. |
| Publication date: | 2019 |
| Publishing house: | IAEM Publication |