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Solving Low Power Stochastic Equations: Nonlinear Studies

  • Jeffery D. Lewins

Abstract

We address here the stochastic equations for neutrons, precursors and detected events (‘detectrons’) in a conventional lumped model of a reactor at low power. Working in the backward Kolmogorov formulation we have the usual first-order partial differential equations in time with nonlinear terms.

Keywords

Extinction Probability Unit Hypercube Probability Balance Precursor Group Internal Root 
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References

  1. Bartlett M. S., 1978, “An Introduction To Stochastic Processes,” Cambridge University Press.MATHGoogle Scholar
  2. Feller W., 1950, “An Introduction To Probability Theory With Applications, 1,” Wiley, New York.Google Scholar
  3. Lewins J. D., 1960, The Use Of The Generating Time, Nucl. Sci. Eng., 7:122.Google Scholar
  4. Lewins J. D., 1978, “Nuclear Reactor Kinetics And Control,” Pergamon, Oxford.Google Scholar
  5. Ruby L., and McSwine T. L., 1986, Approximate Solution To The Kolmogorov Equation For A Fission Chain-Reacting System, Nucl. Sci. Eng., 94:271.Google Scholar
  6. Salmi U., and Lewins J. D., 1980, Multigroup Energy Formalism For Reactor Stochastic Equations In The Space-Independent Low Power Model, Ann. nucl. Energy, 7:99.CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • Jeffery D. Lewins
    • 1
  1. 1.Engineering DepartmentUniversity of CambridgeCambridgeEngland

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