Maria V. Perel

DSC_9704

Associate professor

 Directions of research

  • problems of wave propagation
  • asymptotic methods

Basic Research papers

  1. Fialkovsky I. V., Perel M. V., Plachenov A. B. On astigmatic exponentially localized solutions for the wave and the Klein–Gordon–Fock equations //Journal of Mathematical Physics. – 2014. – Т. 55. – №. 11. – С. 112902.
  2. Perel M., Gorodnitskiy E. Integral representations of solutions of the wave equation based on relativistic wavelets //Journal of Physics A: Mathematical and Theoretical. – 2012. – Т. 45. – №. 38. – С. 385203.
  3. Sidorenko M. S., Perel M. V. Analytic approach to the directed diffraction in a one-dimensional photonic crystal slab //Physical Review B. –
    2012. – Т. 86. – №. 3. – С. 035119.
  4. Perel M. V., Sidorenko M. S. Wavelet-based integral representation for solutions of the wave equation //Journal of Physics A: Mathematical and Theoretical. – 2009. – Т. 42. – №. 37. – С. 375211.
  5. Perel M. V., Sidorenko M. S. New physical wavelet’Gaussian wave packet’ //Journal of Physics A: Mathematical and Theoretical. – 2007. – Т. 40.
    – №. 13. – С. 3441.
  6. Perel M. V., Kaplunov J. D., Rogerson G. A. An asymptotic theory for internal reflection in weakly inhomogeneous elastic waveguides //Wave motion. –
    2005. – Т. 41. – №. 2. – С. 95-108.
  7. Gorodnitskiy, E., Perel, M., Geng, Y. and Wu, R.S., 2016. Depth migration with Gaussian wave packets based on Poincaré wavelets. Geophysical Journal International, 205(1), pp.314-331.

Teaching

  1. Asymptotic methods in the theory of ordinary differential equations (for students of the 4th year, Autumn semester)
  2. Ray method (for students of the 4th year, Spring semester)

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