메뉴 건너뛰기




Volumn 10, Issue 9, 2000, Pages 1277-1303

Spatially varying discrete ordinates methods in XY-geometry

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034365743     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021820250000063X     Document Type: Article
Times cited : (4)

References (27)
  • 2
    • 0033469593 scopus 로고    scopus 로고
    • Homogenization of the criticality spectral equation in neutron transport
    • G. Allaire and G. Bal, Homogenization of the criticality spectral equation in neutron transport, Math. Model. Numer. Anal. 33 (1999) 721-746.
    • (1999) Math. Model. Numer. Anal. , vol.33 , pp. 721-746
    • Allaire, G.1    Bal, G.2
  • 4
    • 0022736826 scopus 로고
    • Analysis of a fully discrete scheme for neutron transport in two-dimensional geometry
    • M. Asadzadeh, Analysis of a fully discrete scheme for neutron transport in two-dimensional geometry, SIAM J. Math. Anal. 23 (1986) 543-561.
    • (1986) SIAM J. Math. Anal. , vol.23 , pp. 543-561
    • Asadzadeh, M.1
  • 5
    • 0346828408 scopus 로고
    • p and eigenvalue error estimates for the discrete ordinates method for two-dimensional neutron transport
    • p and eigenvalue error estimates for the discrete ordinates method for two-dimensional neutron transport, SIAM J. Numer. Anal. 26 (1989) 66-87.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 66-87
    • Asadzadeh, M.1
  • 6
    • 0346197849 scopus 로고
    • The discrete ordinates method for the neutron transport equation in an infinite cylindrical domain
    • M. Asadzadeh, P. Kumlin and S. Larsson, The discrete ordinates method for the neutron transport equation in an infinite cylindrical domain, Math. Models Methods Appl. Sci. 2 (1992) 317-338.
    • (1992) Math. Models Methods Appl. Sci. , vol.2 , pp. 317-338
    • Asadzadeh, M.1    Kumlin, P.2    Larsson, S.3
  • 8
    • 0000421583 scopus 로고    scopus 로고
    • Boundary layer analysis in the homogenization of neutron transport equations in a cubic domain
    • G. Bal, Boundary layer analysis in the homogenization of neutron transport equations in a cubic domain, Asymptotic Anal. 20 (1999) 213-239.
    • (1999) Asymptotic Anal. , vol.20 , pp. 213-239
    • Bal, G.1
  • 9
    • 0033249120 scopus 로고    scopus 로고
    • First-order corrector for the homogenization of the criticality eigenvalue problem in the even parity formulation of the neutron transport
    • G. Bal, First-order corrector for the homogenization of the criticality eigenvalue problem in the even parity formulation of the neutron transport, SIAM J. Math. Anal. 30 (1999) 1208-1240.
    • (1999) SIAM J. Math. Anal. , vol.30 , pp. 1208-1240
    • Bal, G.1
  • 10
    • 3643134185 scopus 로고    scopus 로고
    • Discrete ordinates methods in xy-geometry with spatially varying angular discretization
    • G. Bal and X. Warin, Discrete ordinates methods in xy-geometry with spatially varying angular discretization, Nucl. Sci. Engrg. 127 (1997) 169-181.
    • (1997) Nucl. Sci. Engrg. , vol.127 , pp. 169-181
    • Bal, G.1    Warin, X.2
  • 18
    • 0012187269 scopus 로고
    • Convergence of a fully discrete scheme for two-dimensional neutron transport
    • C. Johnson and J. Pitkäranta, Convergence of a fully discrete scheme for two-dimensional neutron transport, SIAM J. Numer. Anal. 20 (1983) 951-966.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 951-966
    • Johnson, C.1    Pitkäranta, J.2
  • 19
    • 36849113737 scopus 로고
    • Asymptotic solution of neutron transport problems for small mean free paths
    • E. W. Larsen and J. B. Keller, Asymptotic solution of neutron transport problems for small mean free paths, J. Math. Phys. 15 (1974) 75-81.
    • (1974) J. Math. Phys. , vol.15 , pp. 75-81
    • Larsen, E.W.1    Keller, J.B.2
  • 22
    • 0040114266 scopus 로고
    • Convergence of the discrete-ordinates method for anisotropically scattering multiplying particles in a subcritical slab
    • P. Nelson, Convergence of the discrete-ordinates method for anisotropically scattering multiplying particles in a subcritical slab, SIAM J. Numer. Anal. 10 (1973) 175-181.
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 175-181
    • Nelson, P.1
  • 23
    • 0009238412 scopus 로고
    • Estimates for the derivatives of solutions to weakly singular Fredholm integral equations
    • J. Pitkäranta, Estimates for the derivatives of solutions to weakly singular Fredholm integral equations, SIAM J. Math. Anal. 11 (1980) 952-968.
    • (1980) SIAM J. Math. Anal. , vol.11 , pp. 952-968
    • Pitkäranta, J.1
  • 24
    • 0000308997 scopus 로고
    • Error estimates for the combined spatial and angular approximations of the transport equation for slab geometry
    • J. Pitkäranta and L. R. Scott, Error estimates for the combined spatial and angular approximations of the transport equation for slab geometry, SIAM J. Numer. Anal. 20 (1983) 922-950.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 922-950
    • Pitkäranta, J.1    Scott, L.R.2
  • 26
    • 0040707984 scopus 로고
    • Convergence properties of discrete-ordinates solutions for neutron transport in three-dimensional media
    • H. D. Victory, Convergence properties of discrete-ordinates solutions for neutron transport in three-dimensional media, SIAM J. Numer. Anal. 17 (1980) 71-83.
    • (1980) SIAM J. Numer. Anal. , vol.17 , pp. 71-83
    • Victory, H.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.