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Symbolic-Numerical Modeling of the Propagation of Adiabatic Waveguide Mode in a Smooth Waveguide Transition
Divakov D.V., Tyutyunnik A.A.
are reduced to a homogeneous system of linear algebraic equations, which is studied symbolically
СИМВОЛЬНО-ЧИСЛЕННАЯ РЕАЛИЗАЦИЯ МОДЕЛИ АДИАБАТИЧЕСКИХ ВОЛНОВОДНЫХ МОД ДЛЯ ДВУМЕРНЫХ НЕРЕГУЛЯРНЫХ ВОЛНОВОДОВ
Диваков Д.В., Тютюнник А.А., Стариков Д.А.
In this work, a symbolic-numerical solution of Maxwell’s equations is constructed, describing
Algorithmic verification of linearizability for ordinary differential equations
Lyakhov D.A., Gerdt V.P., Michels D.L.
if the equation can be reduced to a linear one by a point transformation of the dependent and independent
On the algorithmic linearizability of nonlinear ordinary differential equations
Lyakhov D.A., Gerdt V.P., Michels D.L.
nonlinear differential equation can be reduced to a linear one by a point transformation of the dependent
On Global Solutions of Two-Dimensional Hyperbolic Equations with General-Kind Nonlocal Potentials
Muravnik A.B.
-difference equations with potentials represented as linear combinations of translations of the desired function along
Symbolic Investigation of Eigenvectors for General Solution of a System of ODEs with a Symbolic Coefficient Matrix
Divakov D.V., Tiutiunnik A.A.
Abstract: This paper investigates the problem of symbolic representation for the general solution
Symbolic-Numeric Study of Geometric Properties of Adiabatic Waveguide Modes
Divakov D.V., Tiutiunnik A.A., Sevastianov A.L.
The eikonal equation links wave optics to ray optics. In the present work, we show that the eikonal
Boundary-value problems for elliptic functional-differential equations and their applications
Skubachevskii A.L.
Boundary-value problems are considered for strongly elliptic functional-differential equations
Symbolic-Numerical Implementation of the Model of Adiabatic Guided Modes for Two-Dimensional Irregular Waveguides
Divakov D.V., Tyutyunnik A.A., Starikov D.A.
In this work, a symbolic-numerical solution of Maxwell’s equations is constructed, describing
Symbolic-Numeric Integration of the Dynamical Cosserat Equations
Lyakhov D.A., Gerdt V.P., Weber A.G., Michels D.L.
differential equations describing the dynamics of one of the arbitrary vector-functions in the general solution

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