Peer-Reviewed papers

1. Shanin, A.V., Korolkov, A.I., Artemov, N.M., Assier, R.C. (2026). Matrix representation of Picard–Lefschetz–Pham theory near the real plane in C2. Submitted to Memoirs of the AMS, Arxiv

2. Korolkov, A.I., Assier, R.C. & Kisil, A.V. (2025). On an analogy between the Wiener–Hopf formulations of discrete and continuous diffraction problems. Submitted to IMA J. Appl. Math., Arxiv

3. Korolkov, A. I., & Kisil, A. V. (2025). Recycling solutions of boundary value problems: the Wiener–Hopf perspective on embedding formula. In R. Soc. Open Sci. 12241782. link ArXiv

4. Korolkov, A.I., Laptev, A.Y. & Shanin, A.V. (2024). Accounting for Viscous and Thermal Effects in Time Domain in Computational Acoustic Problems. In Acoustical Physics (Vol. 70, issue 6, pp. 1051–1057). Pleiades Publishing Ltd. link

5. Laptev, A. Y., Korolkov, A. I., & Shanin, A. V. (2024). Theoretical and experimental study of diffraction by a thin cone. In Acoustical Physics (Vol. 70, issue 3, pp. 424-433), Pleiades Publishing Ltd. link

6. Shanin, A. V., Assier, R. C., Korolkov, A. I., & Makarov, O. I. (2024). Double Floquet-Bloch transforms and the far-field asymptotics of Green’s functions tailored to periodic structures. In Physical Review B (Vol. 110, Issue 2). American Physical Society (APS). link ArXiv

7. Assier, R. C., Shanin, A. V., & Korolkov, A. I. (2024). A contribution to the mathematical theory of diffraction. Part II: Recovering the far-field asymptotics of the quarter-plane problem. In Quarterly Journal of Mechanics and Applied Mathematics (Vol. 77, Issues 1–2). Oxford University Press (OUP). link ArXiv

8. Kniazeva, K.S., Yoshinori, S., Korolkov, A. I., Shanin, A.V. (2023). Saddle Point Method Interpretation of Transient Processes in Car Tires. (2023). In Supercomputing Frontiers and Innovations (Vol. 10, Issue 1). FSAEIHE South Ural State University (National Research University). link

9. Makarov, O. I., Shanin, A. V., & Korolkov, A. I. (2023). The Sommerfeld Integral in Problems of Simulating the Diffraction of Acoustic Waves Using a Triangular Lattice. In Acoustical Physics (Vol. 69, Issue 2, pp. 143–158). Pleiades Publishing Ltd. link

10. Assier, R. C., Shanin, A. V., & Korolkov, A. I. (2022). A contribution to the mathematical theory of diffraction: a note on double Fourier integrals. In The Quarterly Journal of Mechanics and Applied Mathematics (Vol. 76, Issue 1, pp. 1–47). Oxford University Press (OUP). link, ArXiv

11. Shanin, A. V., Korolkov, A. I., & Kniazeva, K. S. (2022). Integral Representations of a Pulsed Signal in a Waveguide. In Acoustical Physics (Vol. 68, Issue 4, pp. 316–325). Pleiades Publishing Ltd. link

12. Shanin, A. V., & Korolkov, A. I. (2022). Diffraction by a Dirichlet right angle on a discrete planar lattice. Quart. Appl. Math., 80, 277–315. link Arxiv

13. Shanin, A. V., Korolkov, A. I., & Kniazeva, K. S. (2022). Saddle Point Method for Transient Processes in Waveguides. In Journal of Theoretical and Computational Acoustics (Vol. 30, Issue 04). link ArXiv

14. Korolkov, A. I., Kniazeva, K. S., & Shurup, A. S. (2022). Acoustic Location Based on Triple Correlation. Bulletin of the Russian Academy of Sciences: Physics, 86(1), 70–73. link

15. Mironov, M. A., Shanin, A. V., Korolkov, A. I., & Kniazeva, K. S. (2021). Transient processes in a gas/plate structure in the case of light loading. Proceedings of the Royal Society A, 477(2253), 20210530. link ArXiv

16. Shanin, A. V., & Korolkov, A. I. (2020). Sommerfeld-type integrals for discrete diffraction problems. Wave Motion, 97, 102606. link ArXiv

17. Korolkov, A. I., Andreev, V. G., Gramovich, V. V., Aleevskaya, A. M., Martynyuk, T. V., & Rudenko, O. V. (2020). Variational Method of Separation of the Aortic and Pulmonary Components of the Second Heart Sound. Doklady Physics, 65(8), 295–299. link

18. Andreev, V. G., Gramovich, V. V., Krasikova, M. V., Korolkov, A. I., Vyborov, O. N., Danilov, N. M., Rudenko, O. V. (2020). Time–Frequency Analysis of The Second Heart Sound to Assess Pulmonary Artery Pressure. Acoustical Physics, 66(5), 542–547. link

19. Korolkov, A. I., Knyazeva, K. S., & Shurup, A. S. (2020). Theoretical and Experimental Studies of the Correlation Characteristics of Signals Reflected by a Rotating Propeller. Acoustical Physics, 66(6), 676–682. link

20. Korolkov, A. I., Shanin, A. V., & Belous, A. A. (2019). Diffraction by an elongated Body of revolution with impedance boundaries: the boundary integral parabolic equation method. Acoustical Physics, 65(4), 340–347. link

21. Shanin, A. V., & Korolkov, A. I. (2019). Diffraction by an elongated body of revolution. A boundary integral equation based on the parabolic equation. Wave Motion, 85, 176–190. link ArXiv

22. Shanin, A. V., Knyazeva, K. S., & Korolkov, A. I. (2018). Riemann surface of dispersion diagram of a multilayer acoustical waveguide. Wave Motion, 83, 148–172. link

23. Belous, A. A., Korol’kov, A. I., & Shanin, A. V. (2018). Experimental Estimation of the Frequency-Dependent Reflection Coefficient of a Sound-Absorbing Material at Oblique Incidence. Acoust. Phys., 64, 158–163. link

24. Denisov, S. L., & Korolkov, A. I. (2017). Investigation of noise-shielding efficiency with the method of sequences of maximum length in application to the problems of aviation acoustics. Acoustical Physics, 63(4), 462–477. link

25. Shanin, A. V., & Korolkov, A. I. (2017a). Boundary Integral Equation and the Problem of Diffraction by a Curved Surface for the Parabolic Equation of Diffraction Theory. Journal of Mathematical Sciences, 226(6), 817–830. link

26. Shanin, A. V., & Korolkov, A. I. (2017d). Diffraction of a mode close to its cut-off by a transversal screen in a planar waveguide. Wave Motion, 68, 218–241. link

27. Korolkov, A. I., & Shanin, A. V. (2016). The parabolic equation method and the Fresnel approximation in the application to Weinstein’s problems. Journal of Mathematical Sciences, 214(3), 302–321. link

28. Korol’kov, A. I., & Shanin, A. V. (2016b). High-frequency wave diffraction by an impedance segment at oblique incidence. Acoust. Phys., 62, 651–658. link

29. Korol’kov, A. I., & Shanin, A. V. (2016a). High-frequency plane wave diffraction by an ideal strip at oblique incidence: Parabolic equation approach. Acoust. Phys., 62(4), 405–413. link

30. Korolkov, A. I., Nazarov, S. A., & Shanin, A. V. (2016). Stabilizing solutions at thresholds of the continuous spectrum and anomalous transmission of waves. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift Für Angewandte Mathematik Und Mechanik, 96(10), 1245–1260. link

31. Shanin, A. V., & Korolkov, A. I. (2015a). Diffraction by an impedance strip I. Reducing diffraction problem to Riemann–Hilbert problems. The Quarterly Journal of Mechanics and Applied Mathematics, 68(3), 321–339. link

32. Shanin, A. V., & Korolkov, A. I. (2015b). Diffraction by an impedance strip II. Solving Riemann–Hilbert problems by OE-equation method. The Quarterly Journal of Mechanics and Applied Mathematics, 68(3), 341–362. link

33. Korolkov, A. I., & Shanin, A. V. (2015a). Diffraction by a grating consisting of absorbing screens of different height. New equations. Journal of Mathematical Sciences, 206(3), 270–287. link

34. Korolkov, A. I., & Shanin, A. V. (2014). Wave reflection from a diffraction grating consisting of absorbing screens: Description in terms of the Wiener-Hopf-Fock method. Acoust. Phys., 60, 624–632. link

35. Korolkov, A. I., Shanin, A. V., & Aleshkin, V. M. (2014). Analysis of excitation of billiard modes in a waveguide with a swell. Technical Acoustics/Tekhnicheskaya Akustika, (5).

Conference proceedings

• Korolkov, A. I., & Shanin, A. I. (2020a). Scalar Klein–Gordon equation and its analytically continued dispersion diagram. INTER-NOISE and NOISE-CON Congress and Conference Proceedings. Institute of Noise Control Engineering.

• Korolkov, A. I., & Shanin, A. I. (2020b). Wave motion in preloaded media. Analytical continuation of dispersion diagram. INTER-NOISE and NOISE-CON Congress and Conference Proceedings, 261, 5125–5132. Institute of Noise Control Engineering.

• Korolkov, A. I., Shanin, A. I., & Kniazeva, K. S. (2020). Asymptotical study of two-layered discrete waveguide with a weak coupling. INTER-NOISE and NOISE-CON Congress and Conference Proceedings, 261, 5133–5144. Institute of Noise Control Engineering.

• Mironov, M. A., Korolkov, A. I., Shanin, A. I., & Kniazeva, K. S. (2020). Transient processes in a thin elastic plate loaded with air. INTER-NOISE and NOISE-CON Congress and Conference Proceedings, 261, 5486–5497. Institute of Noise Control Engineering.

• Shanin, A. V., Korolkov, A. I., & S., K. K. (2019). Matrix Klein-Gordon Equations for Waveguides. Proceedings of Days on Diffraction 2019.

• Belous, A. A., Korolkov, A. I., & Shanin, A. V. (2018). Theoretical and experimental study of diffraction by a thin cone. 2018 Days on Diffraction (DD), 33–37. IEEE.

• Shanin, A. V., & Korolkov, A. I. (2018). Parabolic Equation of Diffraction Theory: Why It Works Better than Expected? 2018 Progress in Electromagnetics Research Symposium (PIERS-Toyama), 53–58. IEEE.

• Shanin, A. V., Korolkov, A. I., & Knyazeva, K. S. (2018). Multi-Contour Saddle Point Method on Dispersion Diagrams for Computing Transient Wave Field Components in Waveguides. 2018 Progress in Electromagnetics Research Symposium (PIERS-Toyama), 1955–1962. IEEE.

• Korolkov, A. I., & Shanin, A. V. (2017). Diffraction by a thin cone in the parabolic approximation. Method of the boundary integral equation. 2017 International Conference on Electromagnetics in Advanced Applications (ICEAA), 696–699. IEEE.

• Shanin, A. V., & Korolkov, A. I. (2017b). Boundary integral equation method for the parabolic equation on the curved surface. 2017 International Conference on Electromagnetics in Advanced Applications (ICEAA), 700–703. IEEE.

• Shanin, A. V., & Korolkov, A. I. (2017e). Method of the boundary integral equation for the parabolic equation on a curved surface. 2017 Progress In Electromagnetics Research Symposium-Spring (PIERS), 1454–1459. IEEE.

• Shanin, A. V., & Korolkov, A. I. (2017f). The method of parabolic equation in application to Weinstein’s problems. 2017 Progress In Electromagnetics Research Symposium-Spring (PIERS), 1469–1475. IEEE.

• Shanin, A. V., & Korolkov, A. I. (2017c). Diffraction by a transversal screen in a planar waveguide. 2017 Progress In Electromagnetics Research Symposium-Spring (PIERS), 3521–3525. IEEE.

• Belous, A. A., Ostrikov, N. N., Shanin, A. V., & A.i., K. (2016). Air flow exploration using acoustical mls-signal. Proceedings of Fourth International Workshop ‘Computational Experiment in AeroAcoustics’.

• Korolkov, A. I., & A.v., S. (2016). Diffraction by an impedance strip in parabolic approximation. Proceedings of Days on Diffraction 2016.

• Korolkov, A. I., & Shanin, A. V. (2015b). Diffraction by an impedance strip. Embedding formula. Proceedings of Days on Diffraction 2015.

• Korolkov, A. I., & Shanin, A. V. (2013). Diffraction of high-frequency grazing wave on grating with screens of different height. Proceedings of the International Conference Days on Diffraction 2013, 83–88. IEEE.