Amplitude-shape method for the numerical solution of ordinary differential equations

Quaestiones Mathematicae

Volumn 24, Issue 1, 2001, Pages 65-73

  Parumasur, N ^a   Mika, J R ^b  

^a UNIVERSITY OF KWAZULU NATAL   (South Africa)

^b INSTITUTE OF ATOMIC ENERGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26844477077     PISSN: 16073606     EISSN: 1727933X     Source Type: Journal    
DOI: 10.1080/16073606.2001.9639774     Document Type: Article

References (8)

1. G.D. Byrne AND A.C. Hindmarsh, Stiff ODE Solvers: A Review of Current and Coming Attractions, Journal of Computational Physics 70 (1987), 1-62.
2. H.L. Dodds, Jr., Accuracy of the quasistatic method for two-dimensional thermal reactor transients with feedback, Nuclear Science and Engineering 59 (1976), 271-281.
3. E. Hofer, Partially implicit method for large stiff systems of ODEs with only few equations introducing small time constants, SIAM Journal on Numerical Analysis 5 (1976), 645-663.
4. J.M. Kozakiewicz AND J.R. Mika, Multigrid method for numerical solution of ordinary differential equations, Matematyka Stosowana 25 (1992), 37-45.
5. J.R. Mika, Mathematical foundations of the quasistatic approximation in reactor physics, Annals of Nuclear Energy 9 (1982), 585-589.
6. K.O. Ott AND D.A. Meneley, Accuracy of the quasistatic treatment of spatial reactor kinetics, Nuclear Science and Engineering 36 (1969), 402-411.
7. N. Parumasur, Amplitude-Shape Method for the Numerical Solution of Ordinary Differential Equations, Ph.D. Thesis, University of Natal, Durban, South Africa, 1997.
8. W. Werner, Kinetics of nuclear system, In: Advances in Nuclear Science and Technology, Vol. 10 (E.J. Henley, J. Lewins and M. Becker, eds.), Plenum Press, New York, 1977, 313-364.