基于基样条插值的Smolyak算法  

The Smolyak algorithm based on cardinal spline interpolation

作　　者：陈汉萍[1] 刘永平[1] 许贵桥[2] 

机构地区：[1]北京师范大学数学科学学院,北京100875 [2]天津师范大学数学科学学院,天津300387

出　　处：《北京师范大学学报（自然科学版）》2016年第1期1-4,共4页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11471043);北京市自然科学基金资助项目(1132001)

摘　　要：研究了具有控制混合光滑性的d维周期Sobolev空间的样条插值逼近.考虑基于基样条插值的Smolyak算法.相应于基于等距节点多项式样条插值的Smolyak算法,得到了一个误差估计.Spline interpolation approximation of d-variate periodic Sobolev space with dominating mixed smoothness is studied.Smolyak algorithm is considered based on cardinal splines.An estimation has been obtained for Smolyak algorithm based on polynomial spline interpolation at equidistant knots.

关 键 词：Smolyak算法 周期Sobolev空间 标准信息 

分 类 号：O174.41[理学—数学]