首页> 外文期刊>Journal of Mathematical Chemistry >Extrapolation and interpolation of asymptotic series by self-similar approximants
【24h】

Extrapolation and interpolation of asymptotic series by self-similar approximants

机译:用自相似近似进行外推和渐近级数的内插

获取原文
获取原文并翻译 | 示例
       

摘要

The problem of extrapolation and interpolation of asymptotic series is considered. Several new variants of improving the accuracy of the self-similar approximants are suggested. The methods are illustrated by examples typical of chemical physics, when one is interested in finding the equation of state for a strongly interacting system. A special attention is payed to the study of the basic properties of fluctuating fluid membranes. It is shown that these properties can be well described by means of the method of self-similar approximants. For this purpose, the method has been generalized in order to give accurate predictions at infinity for a function, whose behavior is known only at the region of its variable close to zero. The obtained results for fluctuating fluid membranes are in good agreement with the known numerical data.
机译:考虑了渐近级数的外推和内插问题。建议了几种提高自相似近似值准确性的新变体。当人们对寻找一个强相互作用系统的状态方程感兴趣时,通过化学物理的典型例子来说明这些方法。要特别注意波动性流体膜的基本特性的研究。结果表明,这些性质可以通过自相似近似法很好地描述。为此,已经对该方法进行了一般化,以便针对一个函数在无穷远处给出准确的预测,该函数的行为仅在其变量接近零的区域才知道。所获得的使流体膜波动的结果与已知的数值数据非常吻合。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号