雷娜

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

扫描关注

论文成果

当前位置: 中文主页 >> 科学研究 >> 论文成果

The Bulirsch-Stoer algorithm for multivariate rational interpolation

点击次数:

论文类型:期刊论文

发表时间:2018-11-30

发表刊物:MATHEMATICAL METHODS IN THE APPLIED SCIENCES

收录刊物:SCIE

卷号:41

期号:17

页面范围:7698-7710

ISSN号:0170-4214

关键字:Bulirsch-Stoer algorithm; multivariate rational interpolation

摘要:The Neville-type algorithms are widely used in engineering and sciences. As an analog of Neville's algorithm that deals with univariate polynomial interpolation, Bulirsch-Stoer algorithm is a classical one for univariate rational interpolations. It can be applied to calculating the value of the interpolating function at the given point or recovering rational functions. In this paper, we generalize the algorithm to multivariate cases with two versions for different situations. These two generalizations are recursive algorithms. The first one is suitable to calculate the value of the interpolating function and the other one can be applied to recovering multivariate rational functions from accurate measurements. Some two-variable examples illustrate that, if we recover the rational functions with higher degrees, the second generalization is superior to Thiele-Thiele continued fraction and two-variable Lowner matrix methods.