scholarly journals An Algorithm for Solving Torsional Vibration Problems Based on the Invariant Imbedding Method

Author(s):  
Antonio Lopes Gama ◽  
Rafael Soares de Oliveira
2015 ◽  
Vol 1085 ◽  
pp. 496-501
Author(s):  
Viktor Afanas'ev ◽  
Alexander Gryazev

On the basis of the invariant imbedding method the equations describing energy spectra of X-ray photoelectron emission by layers of a finite thickness are presented. The analytical decisions describing angular distributions of electrons emitted by layer were received in small-angle approximation and neglect the backscattering factor. Approbation of the received decisions is executed on the basis of comparison with results of Monte-Carlo simulation. The limitations of the theory neglecting with processes of an electron elastic scattering are shown.


1986 ◽  
Vol 23 (5) ◽  
pp. 395-403 ◽  
Author(s):  
Masayoshi KAWAI ◽  
Michinori YAMAUCHI ◽  
Masaru NAKAI

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