Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 4, Pages 696–699 (Mi zvmmf11)  
New fourth-order splitting methods for two-dimensional evolution equations

N. V. Shirobokov

Southern Ural State University, pr. Lenina 76, Chelyabinsk, 454080, Russia
Full-text PDF (499 kB)
References:
PDF
HTML
Abstract: New second- and third-order splitting methods are proposed for partial differential equations of the evolution type in a two-dimensional space. The methods are derived as based on diagonal implicit techniques used in the numerical solution to stiff ordinary differential equations. The methods are absolutely and unconditionally stable. Test computations are presented.
Key words: two-dimensional evolution equations, Runge–Kutta methods, diagonal implicit methods, stiff problems, splitting methods, Burgers' equation.
Received: 29.03.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 4, Pages 672–675
DOI: https://doi.org/10.1134/S0965542509040113
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: N. V. Shirobokov, “New fourth-order splitting methods for two-dimensional evolution equations”, Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009), 696–699; Comput. Math. Math. Phys., 49:4 (2009), 672–675
Citation in format AMSBIB
\Bibitem{Shi09}
\by N.~V.~Shirobokov
\paper New fourth-order splitting methods for two-dimensional evolution equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2009
\vol 49
\issue 4
\pages 696--699
\mathnet{http://mi.mathnet.ru/zvmmf11}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2560949}
\zmath{https://zbmath.org/?q=an:05649722}
\transl
\jour Comput. Math. Math. Phys.
\yr 2009
\vol 49
\issue 4
\pages 672--675
\crossref{https://doi.org/10.1134/S0965542509040113}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000265647400011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-65149104750}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11
  • https://www.mathnet.ru/eng/zvmmf/v49/i4/p696
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:237
    Full-text PDF :80
    References:42
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024