Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Zapiski Nauchnykh Seminarov POMI, 1997, Volume 239, Pages 79–94 (Mi znsl447)  

The second approximation of the ray method for calculation of the intensity of the wave front in isotropic nonhomogeneous elastic media

N. Ya. Kirpichnikova

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract: This paper continues the series of the precedent papers devoted to elaboration of algorithms for calculation of the second and next terms of the ray series for the vector of longitudinal displacements in isotropic nonhomogeneous elastic media in the case of the dimension 2.5. This method is based on expansions of the amplitudes, the eikonal and the given task parameters into series with respect to coordinates transversal to the direction of propagation of the considered waves. The comparison of the methodses of computation of the correction terms of the ray expansios for the vector of longitudinal displacements is carried out.
Received: 10.10.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 4, Pages 3332–3341
DOI: https://doi.org/10.1007/BF02172809
Bibliographic databases:
UDC: 517.934
Language: Russian
Citation: N. Ya. Kirpichnikova, “The second approximation of the ray method for calculation of the intensity of the wave front in isotropic nonhomogeneous elastic media”, Mathematical problems in the theory of wave propagation. Part 26, Zap. Nauchn. Sem. POMI, 239, POMI, St. Petersburg, 1997, 79–94; J. Math. Sci. (New York), 96:4 (1999), 3332–3341
Citation in format AMSBIB
\Bibitem{Kir97}
\by N.~Ya.~Kirpichnikova
\paper The second approximation of the ray method for calculation of the intensity of the wave front in isotropic
nonhomogeneous elastic media
\inbook Mathematical problems in the theory of wave propagation. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 239
\pages 79--94
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl447}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700642}
\zmath{https://zbmath.org/?q=an:0945.74033}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 4
\pages 3332--3341
\crossref{https://doi.org/10.1007/BF02172809}
Linking options:
  • https://www.mathnet.ru/eng/znsl447
  • https://www.mathnet.ru/eng/znsl/v239/p79
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:183
    Full-text PDF :95
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024