Reducing the numerical dispersion of the one-way Helmholtz equation via the differential evolution method

MS Lytaev - Journal of Computational Science, 2023 - Elsevier
This study is devoted to increasing the performance of the numerical methods for solving the
one-way Helmholtz equation in large-scale domains. The higher-order rational …

V2I propagation loss predictions in simplified urban environment: a two-way parabolic equation approach

M Lytaev, E Borisov, A Vladyko - Electronics, 2020 - mdpi.com
This study is devoted to radio wave propagation modeling in the urban environment. Special
attention has been paid to the features of vehicular ad hoc networks (VANETs) and vehicle …

Rational interpolation of the one-way Helmholtz propagator

MS Lytaev - Journal of Computational Science, 2022 - Elsevier
This study is devoted to the higher-order finite-difference numerical methods for solving the
pseudo-differential parabolic equation of diffraction theory. The relationship between the …

[HTML][HTML] Automatically Differentiable Higher-Order Parabolic Equation for Real-Time Underwater Sound Speed Profile Sensing

M Lytaev - Journal of Marine Science and Engineering, 2024 - mdpi.com
This paper is dedicated to the acoustic inversion of the vertical sound speed profiles (SSPs)
in the underwater marine environment. The method of automatic differentiation is applied for …

Numerical approximation of the one-way Helmholtz equation using the differential evolution method

MS Lytaev - International Conference on Computational Science, 2022 - Springer
This paper is devoted to increasing the computational efficiency of the finite-difference
methods for solving the one-way Helmholtz equation in unbounded domains. The higher …

Mesh optimization for the acoustic parabolic equation

M Lytaev - Journal of Marine Science and Engineering, 2023 - mdpi.com
This work is devoted to increasing the computational efficiency of numerical methods for the
one-way Helmholtz Equation (higher-order parabolic equation) in a heterogeneous …

Chebyshev-type rational approximations of the one-way Helmholtz equation for solving a class of wave propagation problems

MS Lytaev - International Conference on Computational Science, 2021 - Springer
This study is devoted to improving the efficiency of the numerical methods for solving the
pseudo-differential parabolic equation of diffraction theory. A rational approximation on an …

Computational Grid Optimization for the 3D Higher-Order Parabolic Equation

MS Lytaev - … Conference on Computational Science and Its …, 2023 - Springer
This work is devoted to the wave propagation modeling in an essentially three-dimensional
medium. Finite-difference Padé approximations of the three-dimensional one-way Helmholtz …

Interval Approximation of the Discrete Helmholtz Propagator for the Radio-Wave Propagation Along the Earth's Surface

MS Lytaev - … Conference on Computational Science and Its …, 2022 - Springer
A new finite-difference approximation of the two-dimensional parabolic equation is proposed
in this paper. The specifics of the tropospheric radio-wave propagation problem are taken …

An improved accuracy split-step Padé parabolic equation for tropospheric radio-wave propagation

MS Lytaev - Computational Science and Its Applications–ICCSA …, 2021 - Springer
This paper is devoted to modeling the tropospheric electromagnetic waves propagation over
irregular terrain by the higher-order finite-difference methods for the parabolic equation (PE) …