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Found 35 Documents (Results 1–35)

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Method of boundary integral equations in the problem of diffraction of a monochromatic electromagnetic wave by a system of perfectly conducting and piecewise homogeneous dielectric objects. (English. Russian original) Zbl 1451.78024

Differ. Equ. 56, No. 9, 1153-1166 (2020); translation from Differ. Uravn. 56, No. 9, 1187-1200 (2020).
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Method of hypersingular integral equations in a three-dimensional problem of diffraction of electromagnetic waves on a piecewise homogeneous dielectric body. (English. Russian original) Zbl 1341.78020

Differ. Equ. 51, No. 9, 1197-1210 (2015); translation from Differ. Uravn. 51, No. 9, 1206-1219 (2015).
MSC:  78A45 45E05 65R20 78M25 65D30
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Numerical solution of 3D problems of electromagnetic wave diffraction on a system of ideally conducting surfaces by the method of hypersingular integral equations. (English. Russian original) Zbl 1308.78011

Differ. Equ. 50, No. 9, 1240-1251 (2014); translation from Differ. Uravn. 50, No. 9, 1253-1263 (2014).
MSC:  78A45 78M25 45E05 65N35
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Algorithms and numerical analysis of DC fields in a piecewise-homogeneous medium by the boundary integral equation method. (English. Russian original) Zbl 1179.78109

Comput. Math. Model. 20, No. 3, 247-257 (2009); translation from Prikl. Mat. Inf. 30, 35-45 (2008).
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Tensor Green’s functions for axisymmetrical models of magnetotelluric marine sounding of locally nonhomogeneous layered media. (English. Russian original) Zbl 1179.78013

Comput. Math. Model. 20, No. 3, 219-230 (2009); translation from Prikl. Mat. Inf. 30, 5-17 (2008).
MSC:  78A25 78M25 78A40
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Problems of excitation and diffraction of waves on a bounded domain with a conical point. (English. Russian original) Zbl 1179.78062

Differ. Equ. 43, No. 9, 1277-1286 (2007); translation from Differ. Uravn. 43, No. 9, 1244-1254 (2007).
MSC:  78A45 35J05 35Q60
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Boundary integral equations of the first kind in electrodynamics problems of inhomogeneous layered media. (English, Russian) Zbl 1155.78303

Mosc. Univ. Comput. Math. Cybern. 2006, No. 3, 106-112 (2006); translation from Vestn. Mosk. Univ., Ser. XV 2006, No. 3, 100-106 (2006).
MSC:  78A25 45A05
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Hypersingular integral equations for the diffraction of electromagnetic waves on homogeneous magneto-dielectric bodies. (English. Russian original) Zbl 1129.78010

Comput. Math. Model. 17, No. 2, 97-104 (2006); translation from Prikl. Mat. Inf. 20, 5-15 (2005).
MSC:  78A45 78M99
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Some computational aspects of the hypersingular integral equation method in electrodynamics. (English. Russian original) Zbl 1078.78507

Comput. Math. Model. 15, No. 2, 105-109 (2004); translation from Prikl. Mat. Inf. 14, 11-17 (2003).
MSC:  78A45 78M25 65R20
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Boundary equations with discontinuous dihedral group in problems in diffraction on solids of revolution. (English. Russian original) Zbl 1064.78509

Differ. Equations 35, No. 10, 1418-1422 (1999); translation from Differ. Uravn. 35, No. 10, 1398-1402 (1999).
MSC:  78A45 76Q05
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Numerical solution of boundary integral equations by reduction to a problem with a finite non-abelian symmetry groub. (English. Russian original) Zbl 0928.65163

Differ. Equations 33, No. 9, 1233-1238 (1997); translation from Differ. Uravn. 33, No. 9, 1227-1232 (1997).
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Axisymmetric excitation of a dielectric torus: Numerical solution. (English. Russian original) Zbl 0885.65140

Comput. Math. Model. 8, No. 3, 282-287 (1997); translation from Obratnye Zadachi Estestvoznaniya, 109-115 (1997).
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Finite Abelian group methods in iterative algorithms for solving boundary-value problems with a boundary surface of complex structure. (English. Russian original) Zbl 0889.65118

Comput. Math. Model. 8, No. 2, 95-105 (1997); translation from Chislennye Metody v Matematicheskoj Fizike, 16-27 (1996).
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Hypersingular integral operators in diffraction problems of electromagnetic waves on open surfaces. (English. Russian original) Zbl 0825.78003

Comput. Math. Model. 5, No. 3, 208-213 (1994); translation from Tikhonov, A. N. (ed.) et al., Mathematical models in the optimization of computing algorithms. Work collection, Moskva, 151-159 (1993).
MSC:  78A25 65R99
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Singular solutions of singular integral equations for some problems in electrodynamics. (English. Russian original) Zbl 0808.45002

Differ. Equations 29, No. 9, 1323-1328 (1993); translation from Differ. Uravn. 29, No. 9, 1526-1532 (1993).
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Numerical method for diffraction problems of electromagnetic waves on surfaces of revolution. (English. Russian original) Zbl 1331.78033

Comput. Math. Model. 4, No. 2, 146-150 (1993); translation from Pryamye i obratnye zadachi matematicheskoĭ fiziki. Sbornik trudov, Moscow University Press, Moscow, 1991, 109-115 (1991).
MSC:  78M25 78A45 65R20
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Finite group algebras in iterative methods of solving boundary-value problems of potential theory. (English. Russian original) Zbl 0799.65117

Comput. Math. Math. Phys. 33, No. 7, 907-917 (1993); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 7, 1030-1042 (1993).
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Hypersingular integral equations of the first kind of diffraction problems for electromagnetic waves on nonclosed surfaces. (English. Russian original) Zbl 0797.45001

Comput. Math. Math. Phys. 33, No. 2, 281-286 (1993); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 2, 313-318 (1993).
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Formulation and numerical solution of inverse problems of electroencephalography. (English. Russian original) Zbl 1331.92081

Comput. Math. Model. 3, No. 2, 135-142 (1992); translation from Metody matematicheskogo modelirovaniya i vychislitel’noĭ diagnostiki, Moscow University Press, Moscow, 1990, 18-28 (1990).
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On the hypersingular first kind integral equations for problems of electromagnetic scattering from screen surfaces. (English) Zbl 0789.35183

Tikhonov, Andrej N. (ed.) et al., Ill-posed problems in natural sciences. Proceedings of the international conference held in Moscow (Russia), August 19-25, 1991. Utrecht: VSP. 584-594 (1992).
MSC:  35R30 35P25 78A45
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Inverse problems in electroencephalography and their numerical solving. (English) Zbl 0785.92017

Tikhonov, Andrej N. (ed.) et al., Ill-posed problems in natural sciences. Proceedings of the international conference held in Moscow (Russia), August 19-25, 1991. Utrecht: VSP. 543-552 (1992).
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Integral equations with Hadamard kernels in diffraction problems. (English. Russian original) Zbl 0806.65137

Comput. Math. Model. 2, No. 4, 367-372 (1991); translation from Current problems in applied mathematics, Work Collect., Moskva, 118-127 (1989).
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A method for the numerical solution of axially symmetric problems of diffraction of a nonstationary electromagnetic field on nonclosed surfaces of revolution. (English. Russian original) Zbl 0632.65138

Mosc. Univ. Comput. Math. Cybern. 1987, No. 1, 76-80 (1987); translation from Vestn. Mosk. Univ., Ser. XV 1987, No. 1, 62-65 (1987).
Reviewer: R.Farzan
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On a method of numerical solution of singular integrodifferential equations. (English. Russian original) Zbl 0603.65097

Mosc. Univ. Comput. Math. Cybern. 1985, No. 2, 26-30 (1985); translation from Vestn. Mosk. Univ., Ser. XV 1985, No. 2, 23-27 (1985).
MSC:  65R20 45J05 78A45
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The method of fundamental solutions in problems of diffraction of electromagnetic waves by bodies of revolution. (English. Russian original) Zbl 0584.35081

Transl., Ser. 2, Am. Math. Soc. 125, 51-65 (1985); translation from Vychisl. Metody Program 32, 28-44 (1980).
Reviewer: R.Millar
MSC:  35P25 78A45 35C15
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