Skip to main content
SpringerLink
Log in

Perturbation calculations by the correlated samples method

  • Quasi-Random and Non-Random Numbers
  • Conference paper
  • First Online:
Book cover Monte-Carlo Methods and Applications in Neutronics, Photonics and Statistical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 240))

Abstract

Since several years, a special attention has been given to the correlated samples method in many laboratories, in order to complete results of Monte Carlo simulations with perturbation calculations, in the field of core neutronic and shielding.

After a presentation of the method and of estimators used, a variance analysis is done by introducing integral equations allowing the calculation of variances and covariance.

Conditions defining asymptotic perturbations are given, behaviour of confidence on differential responses is studied, using this general formalism.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Programme de Monte Carlo polycinétique à trois dimensions TRIPOLI-02 J.C. NIMAL and al. (note CEA)

    Google Scholar 

  2. Etudes d'effets différentiels par la Méthode de Monte Carlo dans le cadre de l'équation du transport — Applications aux calculs de protection et de neutronique-G. DEJONGHE-Thesis (Université PARIS XI, avril 1982)

    Google Scholar 

  3. G.DEJONGHE,J.GONNORD,J.C.NIMAL (1980) Report ORNL-RSIC/44,63

    Google Scholar 

  4. NEACRP Specialists'Meeting on Nuclear Data and Benchmark for Shielding, OECD report (1980)-G. DEJONGHE,J. GONNORD, J.C. NIMAL 191-A. DUBI, H. RIEF181-M.C.G. HALL205

    Google Scholar 

  5. Generalized Monte Carlo perturbation algorithms for correlated sampling and a second order Taylor series approach (1983)-H. BIEF (private communication)

    Google Scholar 

  6. Cross-sections adjustment with Monte Carlo sensitivities; Application to the Winfrith Iron Benchmark-M.C.G. HALL (1982) Nucl.Sci.Engng 81,423.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. C.E.A. - SERMA/LEPF, 91191, Gif Sur Yvette Cedex, France

    G. Dejonghe, J. Gonnord & J. C. Nimal

Authors
  1. G. Dejonghe
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Gonnord
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. C. Nimal
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Raymond Alcouffe Robert Dautray Arthur Forster Guy Ledanois B. Mercier

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Dejonghe, G., Gonnord, J., Nimal, J.C. (1985). Perturbation calculations by the correlated samples method. In: Alcouffe, R., Dautray, R., Forster, A., Ledanois, G., Mercier, B. (eds) Monte-Carlo Methods and Applications in Neutronics, Photonics and Statistical Physics. Lecture Notes in Physics, vol 240. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0049059

Download citation

  • DOI: https://doi.org/10.1007/BFb0049059

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16070-0

  • Online ISBN: 978-3-540-39750-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation