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Solution of the transport equations in the case of anisotropic scattering by the decomposition method

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Literature Cited

  1. V. S. Vladimirov, Mathematical problems of the single-velocity theory of particle transport, Tr. Matem. in-ta V. A. Steklova Ak. Nauk SSSR,59 (1961).

  2. G. I. Marchuk, Computation Methods for Nuclear Reactors [in Russian] Gosatomizdat, Moscow (1961).

    Google Scholar 

  3. G. I. Marchuk and N. N. Yanenko, Solution of a multidimensional kinetic equation by the decomposition method. Dokl. Ak. Nauk SSSR,157, No. 6, 1291–1292 (1964).

    Google Scholar 

  4. G. I. Marchuk and N. N. Yanenko, Application of the method of decomposition of fractional analogs to the solution of mathematical physics problems, In: “Certain Questions of Computing and Applied Mathematics” [in Russian] Novosibirsk, pp.5–22 (1966).

  5. E. G. D'yakonov, On certain iteration methods for solving a system of difference equations arising in connection with solution by the grid method of partial differential equations of the elliptic type, In: “Computational Methods and Programming” [in Russian] Izd-vo MGU, pp.191–222 (1965).

  6. A. A. Samarskii, On one economic algorithm for the numerical solution of a system of differential and algebraic equations, Zh. Vych. Matem. Matem. Fiz.,4, No. 3, 580–585 (1964).

    Google Scholar 

  7. A. A. Samarskii, On difference schemes for multidimensional differential equations of mathematical physics,10, No.2, 146–164 (1965).

    Google Scholar 

  8. G. E. Forsythe and W. R. Wasov, Finite-Difference Methods for Partial Differential Equations [Russian translation] IL, Moscow (1963).

    Google Scholar 

  9. D. K. Faddeev and Faddeeva, Computational Methods of Linear Algebra [in Russian] (Fizmatgiz, Moscow (1963).

    Google Scholar 

  10. I. Douglas and C. M. Pearcy, On convergence of alternating direction procedures in the presence of singular operators. Num. Math.5, No. 2, 175–184 (1963).

    Google Scholar 

  11. G. I. Marchuk and U. M. Sultangazin, Convergence of the decomposition method for the equation of radiation transport, Dokl. Ak. Nauk SSSR,161, No. 1 (1965).

  12. G. I. Marehuk and U. M. Sultangazin, Solution of the kinetic transport equation by the decomposition method. Dokl. Ak. Nauk SSSR,163, No.4, 857–860 (1965).

    Google Scholar 

  13. G. I. Marchuk and U. M. Sultangazin, Proof of the decomposition method for the equations of radiation transport, Zh. vych. Matem. Matem. Fiz.,5, No.4, 590–596 (1965).

    Google Scholar 

  14. V. V. Penenko, Algorithms and a programming system for computational problems of two-dimensional reactors and for certain transport theory problems, Kand. dissert., VTS SO SN SSSR, Novosibirsk (1965).

    Google Scholar 

  15. V. P. Il'in, Application of the methods of variable directions to the solution of quasilinear equations of the parabolic and elliptic type, in the collection: “Certain Problems of Computational Mathematics” [in Russian] Novosibirsk, pp. 101–114 (1966).

  16. N. G. Tokareva, Solution of a system of linear aigebraic equations by a decomposition method, Diploma thesis, Novosibirsk State University (1965).

  17. R. B. Kellog, Another alternating-direction-implicit method, J. Soc. Indust. Appl. Matem.11, No.4, 976–979 (1962).

    Google Scholar 

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Authors
  1. U. M. Sultangazin
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Translated from Sibirskii Matematicheskii Zhurnal, Vol.8, No.1, pp.156–173, January–February, 1967.

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Sultangazin, U.M. Solution of the transport equations in the case of anisotropic scattering by the decomposition method. Sib Math J 8, 117–130 (1967). https://doi.org/10.1007/BF01040577

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