北京师范大学学报（自然科学版）2016，Vol.52Issue(1)：1-4,4.DOI:10.16360/j.cnki.jbnuns.2016.01.001
基于基样条插值的Smolyak算法
The Smolyak algorithm based on cardinal spline interpolation
摘要
Abstract
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Key words
Smolyak algorithm/periodic Sobolev space/standard information分类
数理科学引用本文复制引用
陈汉萍,刘永平,许贵桥..基于基样条插值的Smolyak算法[J].北京师范大学学报（自然科学版）,2016,52(1):1-4,4.基金项目
国家自然科学基金资助项目(11471043) （11471043）
北京市自然科学基金资助项目(1132001) （1132001）
