摘要:

A solution of anisotropic Milne's problem in terms of the function H(μ) for non conservative polynomial phase functions has been subjected to numerical analysis and used to obtain numerical results. For the evaluation of H(μ) over the non negative half-line a constructive method is presented and discussed. Several checks, based mainly on the analiticity properties of H(μ), have been introduced to test the computational accuracy. Some sample cases with anisotropic phase functions of order up to N = 5 are reported and discussed

ISSN:0041-1450    

DOI:10.1080/00411457708247948

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

摘要:

A closed form solution of a system of two singular integral equations arising in the problem of heat transfer in a rarefied gas is presented. The system is not trivially equivalent to two decoupled equations and methods slightly beyond the usual ones are used.

ISSN:0041-1450    

DOI:10.1080/00411457708247949

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

摘要:

Pomraning2introduced the variational principle of Roussopoulos3into transport theory. Nelson4presented a Generalized Roussopoulos Principle (GRP) suitable for discontinuous trial functions, and initiated a program of systematically using this principle to derive various types of functionals. In Ref. 4 the GRP was used to obtain functionals admitting trial functions con- taining an interface value which is independent of the limiting values from either side. Our purpose in this work is to continue the program initiated in Ref. 4 by applying the GFP to functionals of classical type, by which we mean functionals in which there are no approximations at an interface other than the limiting values from either side.

ISSN:0041-1450    

DOI:10.1080/00411457708247950

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor

ISSN:0041-1450    

DOI:10.1080/00411457708247951

出版商:Taylor & Francis Group    

年代:1977

数据来源: Taylor