The purpose of the paper is, first, to recall the proof that the AN method and, therefore, the SP2Na??1 method (of which AN was shown to be a variant) are equivalent to the odd order P2Na??1, at least for a particular class of multi-region problems; namely the problems for which the total cross section has the same value for all the regions and the scattering is supposed to be isotropic. By virtue of the introduction of quadrature formulas representing first collision probabilities, this class is then enlarged in order to encompass the systems in which the regions may have different total cross sections. Some examples are reported to numerically validate the procedure.View full textDownload full textKeywordsNeutron transport, Spherical harmonics, Simplified spherical harmonicsRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; var addthis_config = {"data_track_addressbar":true,"ui_click":true}; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00411450.2010.531877
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机译：本文的目的是，首先回顾一下A N 方法的证明，以及SP 2Na ?? 1 方法（其中的A N 被证明是一个变种），至少对于特定类别的多区域问题，它等于奇数阶数P 2Na ?? 1 。即，对于所有区域，总横截面具有相同值并且散射被认为是各向同性的问题。通过引入表示第一碰撞概率的正交公式，然后扩大此类，以便涵盖其中区域可能具有不同总横截面的系统。报告了一些示例，以数值方式验证了该过程。查看全文下载全文关键字中子输运，球谐，简化球谐相关var addthis_config = {ui_cobrand：“泰勒和弗朗西斯在线”，service_compact：“ citeulike，netvibes，twitter，technorati，delicious，linkedin ，facebook，stumbleupon，digg，google，更多”，发布号：“ ra-4dff56cd6bb1830b”}; var addthis_config = {“ data_track_addressbar”：true，“ ui_click”：true};添加到候选列表链接永久链接http://dx.doi.org/10.1080/00411450.2010.531877
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