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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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