个人信息Personal Information
教授
博士生导师
硕士生导师
主要任职:软件学院(大连理工大学-立命馆大学国际信息与软件学院)党委书记
性别:女
毕业院校:吉林大学
学位:博士
所在单位:软件学院、国际信息与软件学院
学科:软件工程. 计算数学. 计算机应用技术
办公地点:大连理工大学开发区校区信息楼309室
联系方式:nalei@dlut.edu.cn
电子邮箱:nalei@dlut.edu.cn
Lagrange-type basis for multivariate uniform integrable tensor-product Birkhoff interpolation
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论文类型:期刊论文
发表时间:2017-12-01
发表刊物:MATHEMATICAL METHODS IN THE APPLIED SCIENCES
收录刊物:SCIE
卷号:40
期号:18
页面范围:6823-6831
ISSN号:0170-4214
关键字:multivariate Birkhoff interpolation; uniform; integrable; tensor-product type; Lagrange-type basis
摘要:Birkhoff interpolation is the most general interpolation scheme. We study the Lagrange-type basis for uniform integrable tensor-product Birkhoff interpolation. We prove that the Lagrange-type basis of multivariate uniform tensor-product Birkhoff interpolation can be obtained by multiplying corresponding univariate Lagrange-type basis when the integrable condition is satisfied. This leads to less computational complexity, which drops to O(N-1(3) + N-2(3) center dot center dot center dot + N-n(3)) from O(N-1(3) N-2(3) center dot center dot center dot N-n(3)).