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Volume 15, Issue 2
Stability of P_2 Methods for Neutron Transport Equation

Guangwei Yuan , Zhijun Shen , Longjun Shen & Yulin Zhou

J. Part. Diff. Eq., 15 (2002), pp. 47-56.

Published online: 2002-05

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  • Abstract
In this paper the P_2 approximation to the one-group planar neutron transport theory is discussed. The stability of the solutions for P_2 equations with general boundary conditions, including the Marshak boundary condition, is proved. Moreover, the stability of the up-wind difference scheme for the P_2 equation is demonstrated.
  • Keywords

Neutron transport equations Up-wind schemes Stability

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@Article{JPDE-15-47, author = {Guangwei Yuan , Zhijun Shen , Longjun Shen and Yulin Zhou }, title = {Stability of P_2 Methods for Neutron Transport Equation}, journal = {Journal of Partial Differential Equations}, year = {2002}, volume = {15}, number = {2}, pages = {47--56}, abstract = { In this paper the P_2 approximation to the one-group planar neutron transport theory is discussed. The stability of the solutions for P_2 equations with general boundary conditions, including the Marshak boundary condition, is proved. Moreover, the stability of the up-wind difference scheme for the P_2 equation is demonstrated.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5447.html} }
TY - JOUR T1 - Stability of P_2 Methods for Neutron Transport Equation AU - Guangwei Yuan , Zhijun Shen , Longjun Shen & Yulin Zhou JO - Journal of Partial Differential Equations VL - 2 SP - 47 EP - 56 PY - 2002 DA - 2002/05 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5447.html KW - Neutron transport equations KW - Up-wind schemes KW - Stability AB - In this paper the P_2 approximation to the one-group planar neutron transport theory is discussed. The stability of the solutions for P_2 equations with general boundary conditions, including the Marshak boundary condition, is proved. Moreover, the stability of the up-wind difference scheme for the P_2 equation is demonstrated.
Guangwei Yuan , Zhijun Shen , Longjun Shen and Yulin Zhou . (2002). Stability of P_2 Methods for Neutron Transport Equation. Journal of Partial Differential Equations. 15 (2). 47-56. doi:
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