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 …

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 …

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 …

A stable chebyshev-pade rational approximation of parabolic equation models for underwater sound field computation

Z Fang, J Li - OCEANS 2024-Singapore, 2024 - ieeexplore.ieee.org
A stable Chebyshev-Padé rational approximation method of parabolic equation models is
developed by introducing stability constraints into a Chebyshev type rational approximation …

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 …