摘要:

The method of separation of variables is a powerful tool for solving equations of mathematical physics but it can seldom be used in practical situations. In this paper we present the amplitude-shape method which can be viewed as an incomplete separation of variables so that the solution to a given equation is written as a product of a fast-changing amplitude and a slow-changing shape to overcome the difficulties associated with stiffness caused by singular perturbations. The method is closely related to the quasistatic approach developed and successfully used in nuclear reactor kinetics. We show the implementation of the method for partial differential equations of the chemical kinetics.

ISSN:0041-1450    

DOI:10.1080/00411450008205869

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

摘要:

Models of discrete velocity gases for the case of mixtures have been rarely considered. Here we thoroughly investigate the matter and supply examples of models with both finitely and infinitely many velocities.

ISSN:0041-1450    

DOI:10.1080/00411450008205870

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

ISSN:0041-1450    

DOI:10.1080/00411450008205871

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor

ISSN:0041-1450    

DOI:10.1080/00411450008205858

出版商:Taylor & Francis Group    

年代:2000

数据来源: Taylor