Contemporary Mathematics. Fundamental Directions
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Publishing Ethics

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


CMFD:
Year:
Volume:
Issue:
Page:
Find




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

Contemporary Mathematics. Fundamental Directions, 2010, Volume 36, Pages 36–49 (Mi cmfd154)  
This article is cited in 21 scientific papers (total in 21 papers)

Boundary-value problems for the Helmholtz equation and their discrete mathematical models

Yu. V. Gandel'

V. N. Karazin Kharkiv National University, Khar'kov, Ukraine
Full-text PDF (181 kB) Citations (21)
References:
PDF
HTML
Abstract: We consider boundary-value problems of mathematical diffraction theory and discuss the possibility of reducing them to boundary hypersingular integral equations and solving them numerically. The analytic technique of parametric representations of pseudodifferential and integral operators and the numerical method of discrete singularities are essentially used. We discuss the reasoning in applying this approach to constructing mathematical models of wave diffraction problems and solving them numerically.
English version:
Journal of Mathematical Sciences, 2010, Volume 171, Issue 1, Pages 74–88
DOI: https://doi.org/10.1007/s10958-010-0127-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. V. Gandel', “Boundary-value problems for the Helmholtz equation and their discrete mathematical models”, Proceedings of the Fifth International Conference on Differential and Functional-Differential Equations (Moscow, August 17–24, 2008). Part 2, CMFD, 36, PFUR, M., 2010, 36–49; Journal of Mathematical Sciences, 171:1 (2010), 74–88
Citation in format AMSBIB
\Bibitem{Gan10}
\by Yu.~V.~Gandel'
\paper Boundary-value problems for the Helmholtz equation and their discrete mathematical models
\inbook Proceedings of the Fifth International Conference on Differential and Functional-Differential Equations (Moscow, August 17--24, 2008). Part~2
\serial CMFD
\yr 2010
\vol 36
\pages 36--49
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd154}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2752648}
\transl
\jour Journal of Mathematical Sciences
\yr 2010
\vol 171
\issue 1
\pages 74--88
\crossref{https://doi.org/10.1007/s10958-010-0127-3}
Linking options:
  • https://www.mathnet.ru/eng/cmfd154
  • https://www.mathnet.ru/eng/cmfd/v36/p36
    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
    Statistics & downloads:
    Abstract page:545
    Full-text PDF :394
    References:46
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024