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Original Articles

Amplitude-shape method: The quasistatic method revisited

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Pages 361-370 | Received 28 Sep 1997, Accepted 10 Dec 1997, Published online: 20 Aug 2006

References

  • Dodds , H. Jr. 1976 . Accuracy of the quasistatic method for two-dimensional thermal reactor transients with feedback . Nuclear Science and Engineering , 59 : 271 – 281 .
  • Hofcr , E. 1976 . Partially implicit method for large stiff systems of ODEs with only few equations introducing small time constants . SIAM Journal on Numerical Analysis , 5 : 645 – 663 .
  • Kozakiewicz , J. and Mika , J. R. 1992 . Multigrid method for numerical solution of ordinary differential equations . Malemalyka Stosowana , 25 : 37 – 45 .
  • Mika , J. 1982 . Mathematical foundations of the quasistatic approximation in reactor physics . Annals of Nuclear Energy , 9 : 585 – 589 .
  • Mika , J. and Parumasur , N. 1997 . Amplitude-shape method for numerical solution of ordinary dillerential equations . NUMDIFF-8, Alexisbad , September : 1 – 5 .
  • Ott , K. and Meneley , D. A. 1969 . Accuracy of the quasistatic treatment of spatial reactor kinetics . Nuclear Science and Engineering , 36 : 402 – 411 .
  • Parumasur , N. 1992 . “ The application of the multigrid algorithm to the solution of stiff ordinary differential equations resulting from partial differential equations ” . Durban, , South Africa : University of Natal . M Sc thesis
  • Werner , W. 1977 . “ Kinetics of nuclear system ” . In Advances in Nuclear Science and Technology , Edited by: Henley , E. J. , Lewins , J. and Becker , M. Vol. 10 , 313 – 364 . New York : Plenum Press .

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