Abstract
The half-range weight function, orthogonality integrals, and completeness theorems in the theory of kinetic equations are often not known, or when they are, are too complicated to be of much practical use. This suggests the use of full-range relations to solve half-range problems, and in this paper we investigate the adaptability of such an approach in the theory of one-speed neutron transport by a discretized spectral approximation formulated recently.
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References
P. Grandjean and C. E. Siewert,Nucl. Sci. Eng. 69:161 (1979); R. D. Garcia and C. E. Siewert,J. Quant. Spect. Rad. Trans. 25:277 (1981).
M. A. Burschka and U. M. Titulaer,J. Stat. Phys. 25:569 (1981).
T. W. Marshall and E. J. Watson,J. Phys. A: Math. Gen. 18:3531 (1985);20:1345 (1987).
Y. S. Mayya,J. Chem. Phys. 82:2033 (1985).
U. M. Titulaer,J. Stat. Phys. 37:589 (1984).
A. Sengupta and C. K. Venkatesan,J. Phys. A: Math. Gen. 21:1341 (1988).
A. Sengupta,J. Phys. A: Math. Gen. 17:2743 (1984).
S. Harris,J. Chem. Phys. 75:3103 (1981).
U. M. Titulaer, inCoherence, Cooperation and Fluctuations, F. Haake, L. M. Narducci, and D. Walls, eds. (Cambridge University Press, 1986), p. 35.
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Sengupta, A. A discretized spectral approximation in neutron transport theory. Some numerical considerations. J Stat Phys 51, 657–676 (1988). https://doi.org/10.1007/BF01028477
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DOI: https://doi.org/10.1007/BF01028477