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## Shanin, Andrey V.

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 Author ID: shanin.andrey-v Published as: Shanin, A. V.; Shanin, Andrey; Shanin, Andrey V.
 Documents Indexed: 42 Publications since 1993
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#### Co-Authors

 16 single-authored 8 Korolkov, A. I. 7 Craster, Richard V. 4 Valyaev, V. Yu. 3 Poblet-Puig, Jordi 2 Doubravsky, Eugeny M. 2 Nazarov, Sergeĭ Aleksandrovich 2 Skelton, Elizabeth A. 1 Assier, Raphaël C. 1 Dorofeev, M. S. 1 Knyazeva, K. S. 1 Krylov, Victor V. 1 Valyaev, Valery
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#### Serials

 9 Journal of Mathematical Sciences (New York) 8 Quarterly Journal of Mechanics and Applied Mathematics 7 Wave Motion 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of Applied Mathematics and Mechanics 2 SIAM Journal on Applied Mathematics 1 Applicable Analysis 1 Journal of Engineering Mathematics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Journal of Computational and Applied Mathematics 1 Journal of Integral Equations and Applications 1 European Journal of Applied Mathematics 1 Zapiski Nauchnykh Seminarov POMI 1 Matematicheskoe Modelirovanie 1 Journal of Computational Acoustics 1 Waves in Random and Complex Media
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#### Fields

 23 Partial differential equations (35-XX) 19 Optics, electromagnetic theory (78-XX) 15 Mechanics of deformable solids (74-XX) 14 Fluid mechanics (76-XX) 4 Numerical analysis (65-XX) 2 Integral equations (45-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX)

#### Citations contained in zbMATH

23 Publications have been cited 95 times in 52 Documents Cited by Year
Trapped modes in angular joints of 2D waveguides. Zbl 1287.35049
Nazarov, S. A.; Shanin, A. V.
2014
Embedding formulae in diffraction theory. Zbl 1092.78504
Craster, R. V.; Shanin, A. V.; Doubravsky, E. M.
2003
Removing false singular points as a method of solving ordinary differential equations. Zbl 1022.34078
Shanin, A. V.; Craster, R. V.
2002
Modified Smyshlyaev’s formulae for the problem of diffraction of a plane wave by an ideal quarter-plane. Zbl 1189.35056
Shanin, A. V.
2005
Coordinate equations for a problem on a sphere with a cut associated with diffraction by an ideal quarter-plane. Zbl 1072.35065
Shanin, A. V.
2005
Calculation of characteristics of trapped modes in $$T$$-shaped waveguides. Zbl 1224.78032
Nazarov, S. A.; Shanin, A. V.
2011
Embedding formulae for diffraction by rational wedge and angular geometries. Zbl 1206.35075
Craster, R. V.; Shanin, A. V.
2005
Diffraction of a plane wave by two ideal strips. Zbl 1033.76054
Shanin, Andrey V.
2003
Embedding formulae for scattering by three-dimensional structures. Zbl 1231.74230
Skelton, E. A.; Craster, R. V.; Shanin, A. V.; Valyaev, V.
2010
Three theorems concerning diffraction by a strip or a slit. Zbl 1033.78008
Shanin, Andrey V.
2001
Weinstein’s diffraction problem: Embedding formula and spectral equation in parabolic approximation. Zbl 1390.74105
Shanin, Andrey V.
2009
A generalization of the separation of variables method for some 2D diffraction problems. Zbl 1072.35520
Shanin, A. V.
2003
Boundary elements method based on a preliminary discretization. Zbl 1357.65288
Poblet-Puig, J.; Valyaev, V. Yu.; Shanin, A. V.
2013
Diffraction of a high-frequency grazing wave by a grating with a complicated period. Zbl 1314.35180
Shanin, A. V.
2013
Embedding formulae for Laplace-Beltrami problems on the sphere with a cut. Zbl 1360.76309
Valyaev, Valery; Shanin, Andrey
2012
Embedding formulae for diffraction by non-parallel slits. Zbl 1132.74020
Skelton, E. A.; Craster, R. V.; Shanin, A. V.
2008
Acoustic scattering at a gap between two orthogonal, semi-infinite barriers: coordinate and spectral equations. Zbl 1131.76048
Shanin, Andrey V.; Doubravsky, Eugeny M.
2007
Diffraction on a slit: some properties of Schwarzschild’s series. Zbl 1062.74558
Shanin, A. V.
2001
Diffraction by a grating consisting of absorbing screens of different height. New equations. Zbl 1350.78004
Korolkov, A. I.; Shanin, A. V.
2015
Suppression of spurious frequencies in scattering problems by means of boundary algebraic and combined field equations. Zbl 1327.65255
Poblet-Puig, J.; Valyaev, V. Yu.; Shanin, A. V.
2015
Asymptotics of waves diffracted by a cone and diffraction series on a sphere. Zbl 1258.35054
Shanin, A. V.
2012
An approximate theory for waves in a slender elastic wedge immersed in liquid. Zbl 0993.76076
Shanin, Andrey V.; Krylov, Victor V.
2000
Derivation of the boundary conditions for the equation of the vibrations of a thin plate by the method of generalized functions. Zbl 0790.73046
Shanin, A. V.
1993
Diffraction by a grating consisting of absorbing screens of different height. New equations. Zbl 1350.78004
Korolkov, A. I.; Shanin, A. V.
2015
Suppression of spurious frequencies in scattering problems by means of boundary algebraic and combined field equations. Zbl 1327.65255
Poblet-Puig, J.; Valyaev, V. Yu.; Shanin, A. V.
2015
Trapped modes in angular joints of 2D waveguides. Zbl 1287.35049
Nazarov, S. A.; Shanin, A. V.
2014
Boundary elements method based on a preliminary discretization. Zbl 1357.65288
Poblet-Puig, J.; Valyaev, V. Yu.; Shanin, A. V.
2013
Diffraction of a high-frequency grazing wave by a grating with a complicated period. Zbl 1314.35180
Shanin, A. V.
2013
Embedding formulae for Laplace-Beltrami problems on the sphere with a cut. Zbl 1360.76309
Valyaev, Valery; Shanin, Andrey
2012
Asymptotics of waves diffracted by a cone and diffraction series on a sphere. Zbl 1258.35054
Shanin, A. V.
2012
Calculation of characteristics of trapped modes in $$T$$-shaped waveguides. Zbl 1224.78032
Nazarov, S. A.; Shanin, A. V.
2011
Embedding formulae for scattering by three-dimensional structures. Zbl 1231.74230
Skelton, E. A.; Craster, R. V.; Shanin, A. V.; Valyaev, V.
2010
Weinstein’s diffraction problem: Embedding formula and spectral equation in parabolic approximation. Zbl 1390.74105
Shanin, Andrey V.
2009
Embedding formulae for diffraction by non-parallel slits. Zbl 1132.74020
Skelton, E. A.; Craster, R. V.; Shanin, A. V.
2008
Acoustic scattering at a gap between two orthogonal, semi-infinite barriers: coordinate and spectral equations. Zbl 1131.76048
Shanin, Andrey V.; Doubravsky, Eugeny M.
2007
Modified Smyshlyaev’s formulae for the problem of diffraction of a plane wave by an ideal quarter-plane. Zbl 1189.35056
Shanin, A. V.
2005
Coordinate equations for a problem on a sphere with a cut associated with diffraction by an ideal quarter-plane. Zbl 1072.35065
Shanin, A. V.
2005
Embedding formulae for diffraction by rational wedge and angular geometries. Zbl 1206.35075
Craster, R. V.; Shanin, A. V.
2005
Embedding formulae in diffraction theory. Zbl 1092.78504
Craster, R. V.; Shanin, A. V.; Doubravsky, E. M.
2003
Diffraction of a plane wave by two ideal strips. Zbl 1033.76054
Shanin, Andrey V.
2003
A generalization of the separation of variables method for some 2D diffraction problems. Zbl 1072.35520
Shanin, A. V.
2003
Removing false singular points as a method of solving ordinary differential equations. Zbl 1022.34078
Shanin, A. V.; Craster, R. V.
2002
Three theorems concerning diffraction by a strip or a slit. Zbl 1033.78008
Shanin, Andrey V.
2001
Diffraction on a slit: some properties of Schwarzschild’s series. Zbl 1062.74558
Shanin, A. V.
2001
An approximate theory for waves in a slender elastic wedge immersed in liquid. Zbl 0993.76076
Shanin, Andrey V.; Krylov, Victor V.
2000
Derivation of the boundary conditions for the equation of the vibrations of a thin plate by the method of generalized functions. Zbl 0790.73046
Shanin, A. V.
1993
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#### Cited by 50 Authors

 15 Shanin, Andrey V. 12 Nazarov, Sergeĭ Aleksandrovich 3 Craster, Richard V. 3 Ishkhanyan, Artur Michaĭlovich 3 Kazakov, Alexander Yakov 3 Slavyanov, Sergeĭ Yur’evich 3 Valyaev, V. Yu. 2 Biggs, Nicholas R. T. 2 Dauge, Monique 2 Korolkov, A. I. 2 Lyalinov, Mikhail Anatolievich 2 Ourmiéres-Bonafos, Thomas 2 Poblet-Puig, Jordi 2 Uusitalo, Pauliina 1 Andronov, Ivan V. 1 Assier, Raphaël C. 1 Bakharev, Fedor L’vovich 1 Bouche, Daniel P. 1 Cardone, Giuseppe 1 Chamberlain, Peter G. 1 Chesnel, Lucas 1 Da Cunha, Bruno Carneiro 1 Doubravsky, Eugeny M. 1 Durante, Tiziana 1 Gorenflo, Norbert 1 Ishkhanyan, T. A. 1 Kazakov, A. Ya 1 Kisil, Anastasia V. 1 Kunik, Matthias 1 Lafranche, Yvon 1 Matveenko, Sergeĭ G. 1 Melas, Evangelos 1 Moran, C. A. J. 1 Novaes, Fábio 1 Pagneux, Vincent 1 Pankrashkin, Konstantin 1 Payton, Robert G. 1 Peake, Nigel 1 Pichugin, Aleksey V. 1 Raymond, Nicolas 1 Rogerson, Graham A. 1 Rotinyan, T. A. 1 Ruotsalainen, Keijo Matti 1 Satco, D. A. 1 Shahverdyan, T. A. 1 Sirota, Yu. N. 1 Skelton, Elizabeth A. 1 Tukhvatova, A. R. 1 Tumakov, Dmitriĭ Nikolaevich 1 Valyaev, Valery
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#### Cited in 25 Serials

 11 Journal of Mathematical Sciences (New York) 10 Wave Motion 3 Theoretical and Mathematical Physics 3 SIAM Journal on Applied Mathematics 2 Journal of Mathematical Physics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Computational Mathematics and Mathematical Physics 2 Doklady Mathematics 1 Journal of Applied Mathematics and Mechanics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Journal of Integral Equations and Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Russian Journal of Mathematical Physics 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Mathematics and Mechanics of Solids 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of High Energy Physics 1 Lobachevskii Journal of Mathematics 1 Communications on Pure and Applied Analysis 1 Journal of Computational Acoustics 1 Advances in High Energy Physics
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#### Cited in 17 Fields

 26 Partial differential equations (35-XX) 20 Optics, electromagnetic theory (78-XX) 12 Mechanics of deformable solids (74-XX) 9 Quantum theory (81-XX) 8 Ordinary differential equations (34-XX) 8 Fluid mechanics (76-XX) 7 Numerical analysis (65-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Relativity and gravitational theory (83-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX)