Smirnov Yu.G., Tsupak A.A., Valovik D.V., “On the volume singular integro-differential equation approach for the electromagnetic diffraction problem”, DOI: 10.1080/00036811.2015.1115839, Applicable Analysis: An International Journal, 2015
Smirnov Yu.G., Tsupak A.A., “Existence and uniqueness theorems in electromagnetic diffraction on systems of lossless dielectrics and perfectly conducting screens”, DOI: 10.1080/00036811.2016.1188289, Applicable Analysis: An International Journal, 2016
Smirnov Yu.G., Tsupak A.A., Matematicheskaya teoriya difraktsii akusticheskikh i elektromagnitnykh voln na sisteme ekranov i neodnrodnykh, RuScience, g. Moskva, 2016
O. S. Skvortsov, A. A. Tsupak, “Numerical study of electromagnetic wave scattering from a non-homogeneous solid and curvilinear perfectly conducting screen”, University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 3, 46–65
Yu. G. Smirnov, V. Yu. Martynova, M. A. Moskaleva, A. A. Tsupak, “Study of diffraction efficiency of diffraction gratings by the modified method of variables separation”, University proceedings. Volga region. Physical and mathematical sciences, 2021, no. 4, 57–70
A. A. Tsupak, “A numerical method and a parallel algorithm for solving the problem of electromagnetic wave diffraction on a non-planar perfectly conducting screen”, University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 4, 32–41
M. Yu. Medvedik, Yu. G. Smirnov, A. A. Tsupak, “The solution of a vector 3D inverse diffraction ploblem on a 3D heterogeneous body by a two-sweep method”, University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 4, 3–21
5.
E. V. Gusarova, Yu. G. Smirnov, A. A. Tsupak, “On a method for solving the problem of electromagnetic wave diffraction on a diffraction grating”, University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 3, 31–38
A. A. Tsupak, “Analysis of the diffraction efficiency of one-dimensional binary diffraction grating by the plane wave expansion method (the TE-polarization case)”, University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 3, 3–14
A. A. Tsupak, “Projective method for solving the scalar diffraction problem on a nonplanar rigid screen”, University proceedings. Volga region. Physical and mathematical sciences, 2020, no. 2, 3–12
2019
8.
R. O. Evstigneev, M. Yu. Medvedik, Yu. G. Smirnov, A. A. Tsupak, “Two-step method for solving the scalar reverse three-dimensional diffraction problem on a volume heterogeneous body”, University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 4, 12–28
A. A. Tsupak, “Convergence of the collocation method for the integral Lippmann - Schwinger equation”, University proceedings. Volga region. Physical and mathematical sciences, 2018, no. 4, 84–93
A. A. Tsupak, “Presence and unicity of solution of the scalar problem of diffraction by a volumetric inhomogeneous solid with a piece-wise smooth refractive index”, University proceedings. Volga region. Physical and mathematical sciences, 2018, no. 3, 17–26
Yu. G. Smirnov, A. A. Tsupak, “The two-dimensional inverse scalar problem of diffraction by an inhomogeneous obstacle with a piecewise continuous refractive index”, University proceedings. Volga region. Physical and mathematical sciences, 2018, no. 3, 3–16
R. O. Evstigneev, M. Yu. Medvedik, Yu. G. Smirnov, A. A. Tsupak, “The inverse problem of body's heterogeneity recovery for early diagnostics of diseases using microwave tomography”, University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 4, 3–17
Yu. G. Smirnov, M. Yu. Medvedik, A. A. Tsupak, M. A. Moskaleva, “The problem of diffraction of acoustic waves on a system of bodyes, screens and antennas”, Matem. Mod., 29:1 (2017), 109–118
14.
Yu. G. Smirnov, A. A. Tsupak, “On the unique existence of the classical solution to the problem of electromagnetic wave diffraction by an inhomogeneous lossless dielectric body”, Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017), 702–709; Comput. Math. Math. Phys., 57:4 (2017), 698–705
N. V. Romanova, A. A. Tsupak, “Solving of the problem of acoustic wave diffraction on a system of hard screens by the Galerkin method”, University proceedings. Volga region. Physical and mathematical sciences, 2016, no. 2, 54–66
A. A. Tsupak, “On Fredholm property of an integro-differential operator in the problem of electromagnetic wave diffraction on a volumetric body, partially screened by a system of flat screens”, University proceedings. Volga region. Physical and mathematical sciences, 2015, no. 4, 3–11
A. A. Tsupak, “Existence and uniqueness of solution of the problem of acoustic wave diffraction on a solid heterogeneous body containing a soft screen”, University proceedings. Volga region. Physical and mathematical sciences, 2015, no. 3, 61–71
D. V. Valovik, M. Yu. Medvedik, Yu. G. Smirnov, A. A. Tsupak, “Existence and unicity of the solution of the diffraction problem for an electromagnetic wave on a system of non-intersecting bodies and screens”, University proceedings. Volga region. Physical and mathematical sciences, 2015, no. 1, 89–97
E. D. Derevyanchyk, E. Yu. Smol'kin, A. A. Tsupak, “The Galerkin method for solving the scalar problem of scattering by an obstacle of complex shape”, University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 4, 57–68
M. A. Maximova, M. Yu. Medvedik, Yu. G. Smirnov, A. A. Tsupak, “Numerical solution of the electromagnetic wave difraction problem on the sytem of bodies and screens”, University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 3, 114–133
A. A. Tsupak, “On uniqueness of solution of the problem of acoustic wave diffraction on a system of non-intersecting screens and heterogeneous bodies”, University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 1, 30–38
M. Yu. Medvedik, Yu. G. Smirnov, A. A. Tsupak, “Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies”, Zh. Vychisl. Mat. Mat. Fiz., 54:8 (2014), 1319–1331; Comput. Math. Math. Phys., 54:8 (2014), 1280–1292
A. A. Tsupak, “System of asymptotic integral equations in the problem of permittivity and permeability tensors determination of a volumetric body in a rectangular waveguide”, University proceedings. Volga region. Physical and mathematical sciences, 2013, no. 3, 105–116
24.
A. A. Tsupak, M. Yu. Medvedik, “Solving the inverse electromagnetic diffraction problem in
rectangular waveguide using the method of asymptotic integral
equations”, Zhurnal SVMO, 15:3 (2013), 148–157
2005
25.
Yu. G. Smirnov, A. A. Tsupak, “Existence and Uniqueness of a Solution of a Singular Volume Integral Equation in a Diffraction Problem”, Differ. Uravn., 41:9 (2005), 1190–1197; Differ. Equ., 41:9 (2005), 1253–1261
Yu. G. Smirnov, A. A. Tsupak, “Investigation of an electromagnetic problem of diffraction by a dielectric body using the method of a volume singular integral equation”, Zh. Vychisl. Mat. Mat. Fiz., 44:12 (2004), 2252–2267; Comput. Math. Math. Phys., 44:12 (2004), 2143–2158
A. A. Tsupak, “An integral equation method in the problem of electromagnetic wave propagation in a space filled with a locally inhomogeneous medium with a graphene layer at the boundary of the inhomogeneity region”, University proceedings. Volga region. Physical and mathematical sciences, 2024, no. 1, 96–106
2023
28.
A. A. Tsupak, “On the solvability of the scalar monochromatic wave diffraction problem on an inhomogeneous solid with specific transmission conditions”, University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 4, 38–48
A. A. Tsupak, “Convergence of the Galerkin method in the problem of electromagnetic wave diffraction on a system of solids and curvilinear screens”, University proceedings. Volga region. Physical and mathematical sciences, 2023, no. 4, 14–25
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