A note on the singular eigenfunction method in transport theory
作者:
Joseph Slawny,
P.F. Zweifel,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 1988)
卷期:
Volume 17,
issue 2-3
页码: 283-294
ISSN:0041-1450
年代: 1988
DOI:10.1080/00411458808230868
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The singular eigenfunction method for solving transport equations introduced by K. M. Case in 19601has become extremely popular, at least in some circles, because of its close analogy to the classical method of treating partial differential equations, i.e. eigenfunction expansions. Because of a perceived lack of rigor in Case's work, alternate methods were developed later which were supposed to retain most of the advantage that Case's method had over classical Fourier transform methods (Wiener-Hopfl—i.e., elegance—while dispensing with Case's heuristic arguments. These methods were the resolvent integration technique of Larsen-Habetler2and the Hilbert space approach of Rutger Hansel broek3
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