25
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

Radiative heat transfer with quasi-monte carlo methods

, &
Pages 1001-1021 | Received 01 Mar 1993, Accepted 04 Oct 1993, Published online: 13 Sep 2006

References

  • Faure , Henri . 1982 . Discrépance de suites associées à un système de numération (en dimension s), Acta Arithmetica . 41 : 337 – 351 .
  • Halton , J. H. 1960 . On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals . Numer. Math. , 2 : 84 – 90 .
  • Kersch , A. , Schaefer , H. and Werner , Ch. 1991, 1991 . “ Modeling of an RTCVD-reactor, International Electron Device Meeting ” . Washington, DC : Technical Digest .
  • Morokoff , W. J. and Caflisch , R. E. Quasi-random sequences and discrepancy . SIAM Sci. Comp. , (to appear)
  • Morokoff , W. J. and Caflisch , R. E. 1991 . Quasi-Monte Carlo Integration . J. Comp. Phys. , submitted to
  • Morokoff , W. J. and Caflisch , R. E. A quasi-Monte Carlo approach to particle simulation of the heat equation . SIAM Num. Anal , (to appear)
  • Niederreiter , H. Random number generation and quasi-Monte Carlo methods . SIAM Regional Conference Series in Applied Mathematics, CBMS-NSF 63 .
  • Niederreiter , H. 1988 . “ Quasi-Monte Carlo methods for multidimensional numerical integration, Numerical Integration III, International Series of Numerical Math. 85 ” . Edited by: Brass , H. and Hämmerlin , G. Basel : Birkhäuser Verlag .
  • O'Brien , D. M. 1992 . Accelerated quasi-Monte Carlo integration of the radiative transfer equation . J. Quant. Spectrosc. Radiat. Transfer 48 , 1 : 41 – 59 .
  • Sarkar , P. K. and Prasad , M. A. 1987 . A comparative study of pseudo and quasi random sequences for the solution of integral equations . J. Comp. Phys. , 68 : 66 – 88 .
  • Siegel , R. and Howell , J. 1981 . Thermal Radiation Heat Transfer, Second Edition , New York : Hemisphere Publishing Corporation .
  • Sobol , I. M. 1967 . The distribution of points in a cube and the approximate evaluation of integrals . U.S.S.R. Computational Math, and Math. Phys. , 7 ( 4 ) : 86 – 112 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.