Trudy Instituta Matematiki i Mekhaniki UrO RAN
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


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 1, Pages 147–164 (Mi timm786)  
This article is cited in 8 scientific papers (total in 8 papers)

On the use of a priori information in coefficient inverse problems for hyperbolic equations

S. I. Kabanikhina, M. A. Shishleninb

a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (914 kB) Citations (8)
References:
PDF
HTML
Abstract: Numerical algorithms for solving inverse coefficient problems for hyperbolic equations based on the use of a priori information on the solution are considered. Optimization algorithms and a dynamic version of the Gelfand–Levitan–Krein method are investigated. The boundedness of the solution and of its first derivative are used as a priori information. Convergence rate estimates are derived. The results of numerical simulations are presented.
Keywords: coefficient inverse problems for hyperbolic equations, Gelfand–Levitan equation, optimization methods, regularization, a priori information.
Received: 22.06.2011
Bibliographic databases:
Document Type: Article
UDC: 519.642+519.633+519.612
Language: Russian
Citation: S. I. Kabanikhin, M. A. Shishlenin, “On the use of a priori information in coefficient inverse problems for hyperbolic equations”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 1, 2012, 147–164
Citation in format AMSBIB
\Bibitem{KabShi12}
\by S.~I.~Kabanikhin, M.~A.~Shishlenin
\paper On the use of a~priori information in coefficient inverse problems for hyperbolic equations
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 1
\pages 147--164
\mathnet{http://mi.mathnet.ru/timm786}
\elib{https://elibrary.ru/item.asp?id=17358685}
Linking options:
  • https://www.mathnet.ru/eng/timm786
  • https://www.mathnet.ru/eng/timm/v18/i1/p147
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:487
    Full-text PDF :180
    References:70
    First page:14
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024