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Volumn 134, Issue 3, 2000, Pages 239-264

Comparison of angular difference schemes for one-dimensional spherical geometry SN equations

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0033888159     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/nse00-a2114     Document Type: Article
Times cited : (15)

References (12)
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    • 0030536225 scopus 로고    scopus 로고
    • An accurate, strictly-positive, nonlinear characteristic scheme for the discrete-ordinate equations
    • W. F. WALTERS and T. A. WAREING, "An Accurate, Strictly-Positive, Nonlinear Characteristic Scheme for the Discrete-Ordinate Equations," Trans. Theory Stat. Phys., 25, 2, 197 (1996).
    • (1996) Trans. Theory Stat. Phys. , vol.25 , Issue.2 , pp. 197
    • Walters, W.F.1    Wareing, T.A.2
  • 4
    • 0003114952 scopus 로고
    • Transport theory - The method of discrete ordinates
    • Chap. 3, Gordon and Breach, New York
    • B. G. CARLSON and K. D. LATHROP, "Transport Theory - The Method of Discrete Ordinates," Computing Methods in Reactor Physics, Chap. 3, p. 239, Gordon and Breach, New York (1968).
    • (1968) Computing Methods in Reactor Physics , pp. 239
    • Carlson, B.G.1    Lathrop, K.D.2
  • 6
    • 0003588880 scopus 로고
    • John Wiley & Sons, New York
    • R. D. RICTMEYER and K. W. MORTON, Difference Methods for Initial-Value Problems, 2nd ed., p. 245, John Wiley & Sons, New York (1967); see also A. GREENBAUM and J. M. FERGUSON, "A Petrov-Galerkin Finite Element Method for Solving the Neutron Transport Equation," J. Comput. Phys., 64, 97 (1986).
    • (1967) Difference Methods for Initial-Value Problems, 2nd Ed. , pp. 245
    • Rictmeyer, R.D.1    Morton, K.W.2
  • 7
    • 38249039340 scopus 로고
    • A Petrov-Galerkin finite element method for solving the neutron transport equation
    • R. D. RICTMEYER and K. W. MORTON, Difference Methods for Initial-Value Problems, 2nd ed., p. 245, John Wiley & Sons, New York (1967); see also A. GREENBAUM and J. M. FERGUSON, "A Petrov-Galerkin Finite Element Method for Solving the Neutron Transport Equation," J. Comput. Phys., 64, 97 (1986).
    • (1986) J. Comput. Phys. , vol.64 , pp. 97
    • Greenbaum, A.1    Ferguson, J.M.2
  • 8
    • 0343324776 scopus 로고
    • Truncation error analysis of finite difference approximations to the transport equation
    • W. H. REED and K. D. LATHROP, "Truncation Error Analysis of Finite Difference Approximations to the Transport Equation," Nucl. Sci. Eng., 41, 237 (1970).
    • (1970) Nucl. Sci. Eng. , vol.41 , pp. 237
    • Reed, W.H.1    Lathrop, K.D.2
  • 10
    • 0021623934 scopus 로고
    • Analysis and elimination of the discrete-ordinates flux dip
    • J. E. MOREL and G. R. MONTRY, "Analysis and Elimination of the Discrete-Ordinates Flux Dip," Transp. Theory Stat. Phys., 13, 5, 615 (1984).
    • (1984) Transp. Theory Stat. Phys. , vol.13 , Issue.5 , pp. 615
    • Morel, J.E.1    Montry, G.R.2
  • 11
    • 0004149831 scopus 로고    scopus 로고
    • Wolfram Media/Cambridge University Press, New York
    • S. WOLFRAM, The Mathematica Book, 3rd ed., Wolfram Media/Cambridge University Press, New York (1996).
    • (1996) The Mathematica Book, 3rd Ed.
    • Wolfram, S.1
  • 12
    • 0024303934 scopus 로고
    • n method for solving the Boltzmann transport equation
    • n Method for Solving the Boltzmann Transport Equation," Nucl. Sci. Eng., 101, 72 (1989).
    • (1989) Nucl. Sci. Eng. , vol.101 , pp. 72
    • Morel, J.E.1


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