TY - JOUR
T1 - Stability of <em>P_</em>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.