메뉴 건너뛰기




Volumn 35, Issue 10, 2008, Pages 1800-1804

On the numerical solution of Cauchy singular integral equations in neutron transport

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; NEUTRONS; NUMERICAL METHODS; TRANSPORT PROPERTIES;

EID: 50149097932     PISSN: 03064549     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anucene.2008.05.007     Document Type: Article
Times cited : (9)

References (18)
  • 4
    • 0018430494 scopus 로고
    • N method in neutron-transport theory, Part II: Applications and Numerical Results
    • N method in neutron-transport theory, Part II: Applications and Numerical Results. Nucl. Sci. Eng. 69 (1979) 161-168
    • (1979) Nucl. Sci. Eng. , vol.69 , pp. 161-168
    • Grandjean, P.1    Siewert, C.E.2
  • 5
    • 0040347875 scopus 로고
    • An iterative algorithm for the numerical solution of singular integral equations
    • Ioakimidis N.I. An iterative algorithm for the numerical solution of singular integral equations. J. Comp. Phys. 43 (1981) 164-176
    • (1981) J. Comp. Phys. , vol.43 , pp. 164-176
    • Ioakimidis, N.I.1
  • 7
    • 0001859801 scopus 로고
    • Transport solutions to the one-dimensional problem
    • Mitsis G.J. Transport solutions to the one-dimensional problem. Nucl. Sci. Eng. 17 (1963) 55-64
    • (1963) Nucl. Sci. Eng. , vol.17 , pp. 55-64
    • Mitsis, G.J.1
  • 8
    • 0023455321 scopus 로고
    • An algorithm for the numerical solution of singular integral equations in neutron transport
    • Mohankumar N., and Natarajan A. An algorithm for the numerical solution of singular integral equations in neutron transport. Transport Theory Statist. Phys. (TTSP) 16 7 (1987) 1013-1020
    • (1987) Transport Theory Statist. Phys. (TTSP) , vol.16 , Issue.7 , pp. 1013-1020
    • Mohankumar, N.1    Natarajan, A.2
  • 9
    • 50149100928 scopus 로고
    • On a suitable quadrature for solving singular integral equation
    • Mohankumar N., and Natarajan A. On a suitable quadrature for solving singular integral equation. Transport Theory Statist. Phys. (TTSP) 23 7 (1994) 1051-1060
    • (1994) Transport Theory Statist. Phys. (TTSP) , vol.23 , Issue.7 , pp. 1051-1060
    • Mohankumar, N.1    Natarajan, A.2
  • 10
    • 33746837255 scopus 로고    scopus 로고
    • An error analysis of the Cauchy principal value integral evaluation by the IMT scheme
    • Mohankumar N., and Natarajan A. An error analysis of the Cauchy principal value integral evaluation by the IMT scheme. Proc. Royal Soc. Math. Phys. Eng. Sci. 454 (1998) 139-145
    • (1998) Proc. Royal Soc. Math. Phys. Eng. Sci. , vol.454 , pp. 139-145
    • Mohankumar, N.1    Natarajan, A.2
  • 11
    • 35649020752 scopus 로고    scopus 로고
    • On the evaluation of finite Hilbert transforms
    • Mohankumar N., and Natarajan A. On the evaluation of finite Hilbert transforms. Comput. Sci. Eng. 9 (2007) 90-95
    • (2007) Comput. Sci. Eng. , vol.9 , pp. 90-95
    • Mohankumar, N.1    Natarajan, A.2
  • 12
    • 33846364019 scopus 로고    scopus 로고
    • On the evaluation of H and X functions
    • Mohankumar N., and Natarajan A. On the evaluation of H and X functions. Comput. Phys. Commun. 176 (2007) 266-270
    • (2007) Comput. Phys. Commun. , vol.176 , pp. 266-270
    • Mohankumar, N.1    Natarajan, A.2
  • 13
    • 84946263219 scopus 로고
    • A comparison of numerical algorithms for solving Cauchy singular integral equation
    • Mohankumar N., Natarajan A., and Gopinath D.V. A comparison of numerical algorithms for solving Cauchy singular integral equation. Transport Theory Statist. Phys. (TTSP) 20 4 (1991) 307-323
    • (1991) Transport Theory Statist. Phys. (TTSP) , vol.20 , Issue.4 , pp. 307-323
    • Mohankumar, N.1    Natarajan, A.2    Gopinath, D.V.3
  • 15
    • 50149102413 scopus 로고    scopus 로고
    • DE type quadrature formulae for Cauchy principal-value integrals and for Hadamard finite-part integrals
    • Kluwer academic 357
    • Ogata H., Sugiura M., and Mori M. DE type quadrature formulae for Cauchy principal-value integrals and for Hadamard finite-part integrals. Proceedings of the Second ISAAC Congress vol. 1 (2000), Kluwer academic 357
    • (2000) Proceedings of the Second ISAAC Congress , vol.1
    • Ogata, H.1    Sugiura, M.2    Mori, M.3
  • 16
    • 0038829888 scopus 로고
    • Numerical integration of analytic functions
    • Schwartz C. Numerical integration of analytic functions. J. Comp. Phys. 4 (1969) 19-29
    • (1969) J. Comp. Phys. , vol.4 , pp. 19-29
    • Schwartz, C.1
  • 17
    • 0018429993 scopus 로고
    • N method in neutron-transport theory, Part I: Theory and applications
    • N method in neutron-transport theory, Part I: Theory and applications. Nucl. Sci. Eng. 69 (1979) 156-160
    • (1979) Nucl. Sci. Eng. , vol.69 , pp. 156-160
    • Siewert, C.E.1    Benoist, P.2
  • 18
    • 84996018880 scopus 로고
    • Double Exponential formulas for numerical integration
    • Takahasi H., and Mori M. Double Exponential formulas for numerical integration. Pub. RIMS, Kyoto Univ 9 (1974) 721-741
    • (1974) Pub. RIMS, Kyoto Univ , vol.9 , pp. 721-741
    • Takahasi, H.1    Mori, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.