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Publications in Math-Net.Ru |
Citations |
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2016 |
| 1. |
A. V. Shanin, A. I. Korol'kov, “Boundary integral equation and the problem of diffraction on a curved surface for the parabolic equation of the diffraction theory”, Zap. Nauchn. Sem. POMI, 451 (2016), 188–207   ; J. Math. Sci. (N. Y.), 226:6 (2017), 817–830  |
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2014 |
| 2. |
A. I. Korol'kov, A. V. Shanin, “Parabolic equation method and Fresnel approximation in Weinstein's problems”, Zap. Nauchn. Sem. POMI, 426 (2014), 87–118 ; J. Math. Sci. (N. Y.), 214:3 (2016), 302–321 |
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| 3. |
A. I. Korol'kov, A. V. Shanin, “Diffraction by grating consisting of screens with different height: new equations”, Zap. Nauchn. Sem. POMI, 422 (2014), 62–89 ; J. Math. Sci. (N. Y.), 206:3 (2015), 270–287 |
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2013 |
| 4. |
J. Poblet-Puig, V. Yu. Valyaev, A. V. Shanin, “Boundary elements method based on a preliminary discretization”, Matem. Mod., 25:9 (2013), 17–31 ; Math. Models Comput. Simul., 6:2 (2014), 172–182 |
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2012 |
| 5. |
A. V. Shanin, “Diffraction of a high-frequency wave by a grating with a complicated period in the case of grazing incidence”, Zap. Nauchn. Sem. POMI, 409 (2012), 212–239 ; J. Math. Sci. (N. Y.), 194:1 (2013), 117–131 |
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2011 |
| 6. |
A. V. Shanin, “Asymptotics of waves diffracted by a cone and diffraction series on a sphere”, Zap. Nauchn. Sem. POMI, 393 (2011), 234–258 ; J. Math. Sci. (N. Y.), 185:4 (2012), 644–657 |
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| 7. |
S. A. Nazarov, A. V. Shanin, “Calculation of characteristics of trapped modes in T-shaped waveguides”, Zh. Vychisl. Mat. Mat. Fiz., 51:1 (2011), 104–119  ; Comput. Math. Math. Phys., 51:1 (2011), 96–110  |
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2008 |
| 8. |
A. V. Shanin, “Edge Green's functions on branched surfaces. Formulation of the problem for finding unknown constants”, Zap. Nauchn. Sem. POMI, 354 (2008), 220–244 ; J. Math. Sci. (N. Y.), 155:3 (2008), 461–474 |
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2007 |
| 9. |
A. V. Shanin, “Edge Green's functions on a multi-sheet surface. Asymptotics of solutions of
coordinate and spectral equations”, Zap. Nauchn. Sem. POMI, 342 (2007), 233–256  ; J. Math. Sci. (N. Y.), 148:5 (2008), 769–783 |
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2005 |
| 10. |
A. V. Shanin, “Embedding formula for an electromagnetic diffraction problem”, Zap. Nauchn. Sem. POMI, 324 (2005), 247–261 ; J. Math. Sci. (N. Y.), 138:2 (2006), 5623–5630 |
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2001 |
| 11. |
A. V. Shanin, “To the problem of diffraction by a strip. Some properties of the Sohwarzschild's series”, Zap. Nauchn. Sem. POMI, 275 (2001), 258–285 ; J. Math. Sci. (N. Y.), 117:2 (2003), 4034–4048 |
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1998 |
| 12. |
A. V. Shanin, “Exitation of the wave field in the triangular domain with impedance boundary conditions”, Zap. Nauchn. Sem. POMI, 250 (1998), 300–318 ; J. Math. Sci. (New York), 102:4 (2000), 4328–4338 |
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