Time dependent transport equation with continuous solutions (I) convergence of discrete ordinates approximation
作者:
Degong Song,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 1996)
卷期:
Volume 25,
issue 7
页码: 753-768
ISSN:0041-1450
年代: 1996
DOI:10.1080/00411459608203545
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The time dependent transport equation with periodic boundary conditions is discussed in the space of continuous functions. A suitable subspace is constructed and it is shown that the corresponding operatorAgenerates a strongly continuous semigroupTF(t) inF=D(A). By virtue of Trotter's approximation theorem of strongly continuous semigroups, the convergence of the discrete ordinates approximation for the time dependent transport equation is rigorously obtained.
点击下载:
PDF (490KB)
返 回