数学杂志2009，Vol.29Issue(1)：15-20,6.
具调节因子Hermite拟谱逼近的误差估计
ERROR ESTIMATE FOR SCALED HERMITE PSEUDO-SPECTRAL APPROXIMATIONS
赵廷刚1
作者信息
- 1. 兰州城市学院数学系,甘肃,兰州,730070;上海大学理学院,上海,200444
- 折叠
摘要
Abstract
Pseudo-spectral approximation of a function in terms of the scaled Hermite functions in certain weighted Sobolev spaces is analyzed. By using properties of the scaled Hermite polynomials and the corresponding Gauss-type quadrature formula, an stability estimate for the interpolation operator on zeros of the scaled Hermite polynomials is obtained. Also error estimate for the interpolation operator is obtained. The results show that the scaled Hermite pseudo-spectral approximation shares high accuracy.关键词
Scaled Hermite多项式/求积公式/拟谱逼近Key words
Scaled Hermite polynomials/quadrature formula/pseudo-spectral approximation分类
数理科学引用本文复制引用
赵廷刚..具调节因子Hermite拟谱逼近的误差估计[J].数学杂志,2009,29(1):15-20,6.
