Skip to main content
Log in

Pseudo-random numbers for comparative Monte Carlo calculations

  • Published:
Numerische Mathematik Aims and scope Submit manuscript

Abstract

To compare the results of two slightly different situations in a given problem solved by the Monte Carlo method it is convenient to use the same random numbers in both cases. To facilitate the reproducibility of the random numbers used a method based on two pseudo-random number generators may be adopted. In this paper the method is discussed with reference to multiplicative congruential generators, the influence of the initial value on a random sequence obtained by a given multiplier being examined first.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Cipolla, M.: Teoria dei numbei, Analisi indeterminata, Enciclopedia delle Matematiche Elementari (L. Berzolari et al., ed.), Vol. 1, Parte I, p. 269–342. Milano: U. Hoepli 1930.

    Google Scholar 

  2. Hutchinson, D. W.: A new uniform pseudorandom number generator. Comm. ACM9, 432–433 (1966).

    Google Scholar 

  3. Lehmer, D. H.: Mathematical methods in large-scale computing units. Ann. Comp. Lab. Harvard Univ.26, 141–146 (1951).

    Google Scholar 

  4. Richtmyer, R. D., Norton, R. van, Wolfe, A.: The Monte Carlo calculation of resonance capture in reactor lattices. Proc. 2nd International Geneva Conference on the Peaceful Uses of Atomic Energy16, P/2489, 180–186 (1958).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cenacchi, G., de Matteis, A. Pseudo-random numbers for comparative Monte Carlo calculations. Numer. Math. 16, 11–15 (1970). https://doi.org/10.1007/BF02162402

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02162402

Keywords

Navigation