| Removing false singular points as a method of solving ordinary differential equations AV Shanin, RV Craster European Journal of Applied Mathematics 13 (6), 617-639, 2002 | 53 | 2002 |
| Embedding formulae in diffraction theory RV Craster, AV Shanin, EM Doubravsky Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 2003 | 43 | 2003 |
| Trapped modes in angular joints of 2D waveguides SA Nazarov, AV Shanin Applicable Analysis 93 (3), 572-582, 2014 | 42 | 2014 |
| Modified Smyshlyaev’s formulae for the problem of diffraction of a plane wave by an ideal quarter-plane AV Shanin Wave motion 41 (1), 79-93, 2005 | 29 | 2005 |
| Three theorems concerning diffraction by a strip or a slit AV Shanin The Quarterly Journal of Mechanics and Applied Mathematics 54 (1), 107-137, 2001 | 27 | 2001 |
| Stabilizing solutions at thresholds of the continuous spectrum and anomalous transmission of waves AI Korolkov, SA Nazarov, AV Shanin ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2016 | 26 | 2016 |
| Diffraction of a plane wave by two ideal strips AV Shanin The Quarterly Journal of Mechanics and Applied Mathematics 56 (2), 187-215, 2003 | 26 | 2003 |
| Embedding formulae for diffraction by rational wedge and angular geometries RV Craster, AV Shanin Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2005 | 25 | 2005 |
| Diffraction by a quarter–plane. Analytical continuation of spectral functions RC Assier, AV Shanin The Quarterly Journal of Mechanics and Applied Mathematics 72 (1), 51-86, 2019 | 23 | 2019 |
| High-frequency modes in a two-dimensional rectangular room with windows ED Shabalina, NV Shirgina, AV Shanin Acoustical Physics 56 (4), 525-536, 2010 | 21 | 2010 |
| Embedding formulae for scattering by three-dimensional structures EA Skelton, RV Craster, AV Shanin, V Valyaev Wave motion 47 (5), 299-317, 2010 | 20 | 2010 |
| Weinstein's diffraction problem: embedding formula and spectral equation in parabolic approximation AV Shanin SIAM Journal on Applied Mathematics 70 (4), 1201-1218, 2009 | 20 | 2009 |
| A generalization of the separation of variables method for some 2D diffraction problems AV Shanin Wave Motion 37 (3), 241-256, 2003 | 17 | 2003 |
| Calculation of characteristics of trapped modes in T-shaped waveguides SA Nazarov, AV Shanin Computational Mathematics and Mathematical Physics 51, 96-110, 2011 | 16 | 2011 |
| lnfluence of elastic anisotropy on the velocities of acoustic wedge modes VV Krylov, AV Shanin Loughborough University, 1991 | 16 | 1991 |
| Nonlinear phenomena accompanying the development of oscillations excited in a layer of a linear dissipative medium by finite displacements of its boundary OV Rudenko, AV Shanin Acoustical Physics 46 (3), 334-341, 2000 | 15 | 2000 |
| Sommerfeld-type integrals for discrete diffraction problems AV Shanin, AI Korolkov Wave Motion 97, 102606, 2020 | 14 | 2020 |
| Screen for playing audible signals by demodulating ultrasonic signals having the audible signals JH Kim, JT Kim, OV Rudenko, AV Shanin US Patent 7,747,029, 2010 | 14 | 2010 |
| Coordinate equations for a problem on a sphere with a cut associated with diffraction by an ideal quarter-plane AV Shanin Quarterly Journal of Mechanics and Applied Mathematics 58 (2), 289-308, 2005 | 13 | 2005 |
| On wave excitation in a wedge-shaped region AV Shanin Acoustical physics 42 (5), 612-617, 1996 | 11 | 1996 |
