Sibirskii Zhurnal Vychislitel'noi Matematiki
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


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




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

Sibirskii Zhurnal Vychislitel'noi Matematiki, 2016, Volume 19, Number 1, Pages 87–96
DOI: https://doi.org/10.15372/SJNM20160107 (Mi sjvm604) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Probability density function of leaky integrate-and-fire model with Lévy noise and its numerical approximation

P. Singha, M. K. Kadalbajoob, K. Sharmac

a School of Mathematics and Computer Applications, Thapar University, Patiala, India
b Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, India
c Department of Mathematics, South Asian University, New Delhi, India
Full-text PDF (609 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.15372/SJNM20160107
Abstract: We investigate a numerical analysis of a leaky integrate-and-fire model with Lévy noise. We consider a neuron model in which the probability density function of a neuron in some potential at any time is modeled by a transport equation. Lévy noise is included due to jumps by excitatory and inhibitory impulses. Due to these jumps the resulting equation is a transport equation containing two integrals in the right-hand side (jumps). We design, implement, and analyze numerical methods of finite volume type. Some numerical examples are also included.
Key words: leaky integrate-and-fire model, transport equation, finite volume approximation, Lévy noise.
Received: 25.01.2015
English version:
Numerical Analysis and Applications, 2016, Volume 9, Issue 1, Pages 66–73
DOI: https://doi.org/10.1134/S1995423916010079
Bibliographic databases:
Document Type: Article
MSC: 35L04, 65M08, 92B20
Language: Russian
Citation: P. Singh, M. K. Kadalbajoo, K. Sharma, “Probability density function of leaky integrate-and-fire model with Lévy noise and its numerical approximation”, Sib. Zh. Vychisl. Mat., 19:1 (2016), 87–96; Num. Anal. Appl., 9:1 (2016), 66–73
Citation in format AMSBIB
\Bibitem{SinKadSha16}
\by P.~Singh, M.~K.~Kadalbajoo, K.~Sharma
\paper Probability density function of leaky integrate-and-fire model with L\'evy noise and its numerical approximation
\jour Sib. Zh. Vychisl. Mat.
\yr 2016
\vol 19
\issue 1
\pages 87--96
\mathnet{http://mi.mathnet.ru/sjvm604}
\crossref{https://doi.org/10.15372/SJNM20160107}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3508737}
\elib{https://elibrary.ru/item.asp?id=25464505}
\transl
\jour Num. Anal. Appl.
\yr 2016
\vol 9
\issue 1
\pages 66--73
\crossref{https://doi.org/10.1134/S1995423916010079}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000374677500007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962146899}
Linking options:
  • https://www.mathnet.ru/eng/sjvm604
  • https://www.mathnet.ru/eng/sjvm/v19/i1/p87
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
    Statistics & downloads:
    Abstract page:199
    Full-text PDF :56
    References:52
    First page:42
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024