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Volumn 33, Issue 9, 2006, Pages 774-785

Polynomial chaos functions and stochastic differential equations

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMPUTATIONAL COMPLEXITY; DIFFERENTIAL EQUATIONS; POLYNOMIALS; RANDOM PROCESSES;

EID: 33745597087     PISSN: 03064549     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anucene.2006.04.005     Document Type: Article
Times cited : (62)

References (13)
  • 1
    • 9944245602 scopus 로고    scopus 로고
    • An analytical study of particle transport in spatially random media in one-dimension: mean and variance calculations
    • Akcasu Z., and Williams M.M.R. An analytical study of particle transport in spatially random media in one-dimension: mean and variance calculations. Nucl. Sci. Eng. 148 (2004) 403
    • (2004) Nucl. Sci. Eng. , vol.148 , pp. 403
    • Akcasu, Z.1    Williams, M.M.R.2
  • 2
    • 0002121327 scopus 로고
    • Stochastic problems in physics and astronomy
    • Chandrasekhar S. Stochastic problems in physics and astronomy. Rev. Mod. Phys. 15 (1943) 1
    • (1943) Rev. Mod. Phys. , vol.15 , pp. 1
    • Chandrasekhar, S.1
  • 3
    • 13144264102 scopus 로고    scopus 로고
    • Some thoughts on solving the radiative transfer equation in stochastic media using polynomial chaos and Wick products as applied to radiative equilibrium
    • Emery A.F. Some thoughts on solving the radiative transfer equation in stochastic media using polynomial chaos and Wick products as applied to radiative equilibrium. J. Quant. Spectrosc. Rad. Trans. 93 (2005) 61
    • (2005) J. Quant. Spectrosc. Rad. Trans. , vol.93 , pp. 61
    • Emery, A.F.1
  • 6
    • 33745622483 scopus 로고    scopus 로고
    • Calculation of the Dancoff factor in pebble bed reactors
    • Valko J., Tsvetkov P.V., and Hoogenboom J.E. Calculation of the Dancoff factor in pebble bed reactors. Nucl. Sci. Eng. 141 (2000) 13
    • (2000) Nucl. Sci. Eng. , vol.141 , pp. 13
    • Valko, J.1    Tsvetkov, P.V.2    Hoogenboom, J.E.3
  • 8
    • 0000786435 scopus 로고
    • The homogeneous chaos
    • Wiener N. The homogeneous chaos. Am. J. Math. 60 (1938) 897
    • (1938) Am. J. Math. , vol.60 , pp. 897
    • Wiener, N.1
  • 10
    • 0037208727 scopus 로고    scopus 로고
    • The probability density function of the multiplication factor due to small, random displacements of finite spheres
    • Williams M.M.R. The probability density function of the multiplication factor due to small, random displacements of finite spheres. Ann. Nucl. Energ. 30 (2003) 17
    • (2003) Ann. Nucl. Energ. , vol.30 , pp. 17
    • Williams, M.M.R.1
  • 11
    • 3242814607 scopus 로고    scopus 로고
    • A stochastic problem arising in the storage of radioactive waste
    • Williams M.M.R. A stochastic problem arising in the storage of radioactive waste. Nucl. Sci. Eng. 147 (2004) 292
    • (2004) Nucl. Sci. Eng. , vol.147 , pp. 292
    • Williams, M.M.R.1
  • 12
    • 33646364301 scopus 로고    scopus 로고
    • The transmission of radiation through a spatially stochastic medium
    • Williams M.M.R. The transmission of radiation through a spatially stochastic medium. J. Quant. Spectrosc. Rad. Trans. 101 (2006) 29
    • (2006) J. Quant. Spectrosc. Rad. Trans. , vol.101 , pp. 29
    • Williams, M.M.R.1
  • 13
    • 33745625721 scopus 로고    scopus 로고
    • Williams, M.M.R., in press. Polynomial chaos functions and neutron diffusion. Nucl. Sci. Eng.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.