67
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Methods of Iterations on Subdomains for Neutron Transport Theory Problems

Pages 208-235 | Published online: 22 Dec 2008

References

  • Abramov , B. D. 2001 . Calculation of neutron fields in nonuniformities . Atomic Energy. , : 1030 – 1035 .
  • Abramov , B. D. 2007 . Methods of splitting by subdomain for neutron transport theory problem , Obninsk, Russia : IPPE . Preprint IPPE-3107
  • Abramov , B. D. and Shikhov , S. B. 1990 . Methods of splitting by subdomains for the neutron transport equation . U. S. S. R. Comput. Maths. Math. Phys , : 74 – 86 .
  • Abramov , B. D. and Shikhov , S. B. 1983 . To the theory linear albedo operators in Banach spaces , Obninsk, Russia : IPPE . Preprint IPPE-1428
  • Agoshkov , V. I. 1988 . Generalized solutions of the transport equation and their smoothness properties , Moscow, Russia : Nauka .
  • Faddeev , D. K. and Faddeeva , V. N. 1963 . Computational methods of linear algebra , Edited by: Williams , Robert C. San Francisco-London : W. H. Freeman and Co .
  • Germogenova , T. A. 1986 . Local properties of solutions of the transport equation , Moscow, Russia : Nauka .
  • Korobeinikov , V. V. and Usanov , V. I. 1994 . Conjugation methods in neutron transport problems , Moscow, Russia : Energoatomisdat .
  • Krasnosel'skij , M. A. , Lifshits , Je. A. and Sobolev , A. V. 1990 . Positive Linear Systems: The Method of Positive Operators , Berlin : Hilderman Verlag . Sigma Series in Applied Mathematics, 5
  • Shikhov , S. B. 1973 . Mathematical problems of reactor theory , Moscow, Russia : Atomizdat .
  • Smelov , V. V. 1981 . The principle of iteration over subdomains in problems involving the transport equation . U. S. S. R. Comput. Maths. Math. Phys , : 131 – 142 .
  • Vladimirov , V. S. 1961 . Mathematical problems in one-velocity theory of particle transport . Trudy Math. Steklov Inst., Akad. Nauk SSSR , v. 61 Moscow, Russia. (In English)

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.