Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (25): 35-37.DOI: 10.3778/j.issn.1002-8331.2008.25.010

• 理论研究 • Previous Articles     Next Articles

New truncated error estimate for fast gauss transform

JIANG Hong,ZHU Wen-qiu,HU Yong-xiang   

  1. Institute of Computer & Communication,Hunan University of Technology,Zhuzhou,Hunan 412008,China
  • Received:2008-02-26 Revised:2008-05-21 Online:2008-09-01 Published:2008-09-01
  • Contact: JIANG Hong

快速高斯变换的截断误差估计

蒋 鸿,朱文球,胡永祥   

  1. 湖南工业大学 计算机与通信学院,湖南 株州 421008
  • 通讯作者: 蒋 鸿

Abstract: A new truncated error estimate for fast gauss transform is proved using stirling formulas.Analysis show the new error is smaller and more accurate than the error X.Wan and G.E.Karniadakis presented.

Key words: fast gauss transform, truncated error estimate, Stirling formulas

摘要: 利用Stirling公式证明了快速高斯变换的一个新的截断误差,并将新误差与X.Wan和G.E.Karniadakis提出的误差进行了比较分析。结果表明,新误差是一个具有更小下界的、更加精确的误差估计。

关键词: 快速高斯变换, 截断误差估计, Stirling公式