Monte Carlo methods : An introduction

  • K.P.N. Murthy
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 184)


I have tried to present the elementary notions of the method of Monte Carlo. This presentation undoubtedly suffers from my personal bias. Unlike other numerical techniques, Monte Carlo has to be developed each time taking into account the special requirements of the problem. There is indeed a great scope for ingenuity both in modelling of the problem and in developing special methods of simulation.


  1. 1.
    Hammersley J.M. and Handscomb D.C., Monte Carlo Methods, Chapman and Hall (1979).Google Scholar
  2. 2.
    McGrath E.J., and Irving D.C., Random Number Generation for Selected Probability Distributions, Vol.II of Techniques of Efficient Monte Carlo Simulation, Report ORNL-RSIC-38, ORNL (1975)Google Scholar
  3. 3.
    Forsythe G.E., NBS Applied Mathematics Series 12, 13 (1951)Google Scholar
  4. 4.
    Lehmer D.H., Ann. Comp. Lab. Harvard Univ. 26, 141 (1951)Google Scholar
  5. 5.
    James F., Monte Carlo Theory and Practice, Report' DD/80/6, CERN Data Handling Division (1980)Google Scholar
  6. 6.
    Chaitin G.J., Scientific American 232, 47 (1975)Google Scholar
  7. 7.
    Spanier J., SIAM J. Appl. Maths., 18, 172 (1970)Google Scholar
  8. 8.
    Murthy K.P.N., Ann. Nucl. Ener. 7, 389 (1980)Google Scholar
  9. 9.
    Ragheb M.M.H et al, Atomkernenergie, Kertechnik 37, 188 (1981)Google Scholar
  10. 10.
    McGrath E.J. and Irving D.C., Variance Reduction Vol.III of Techniques of Efficient Monte Carlo Simulation, Report ORNL-RSIC-38, ORNL (1975)Google Scholar
  11. 11.
    Murthy K.P.N., Atomkernenergie, Kettechnik 34, 125 (1979)Google Scholar
  12. 12.
    Suzuki M., Adv. Chem. Phys. 46, 195 (1981) and the references thereinGoogle Scholar
  13. 13.
    Valsakumar M.C., Murthy K.P.N. and Ananthakrishna G., J. Stat. Phys. 30, 637 (1983)Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • K.P.N. Murthy
    • 1
    • 2
  1. 1.School of PhysicsUniversity of HyderabadIndia
  2. 2.Reactor Research CentreTamil NaduIndia

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