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论文类型：期刊论文

第一作者：Hu, Zhongyong

通讯作者：Meng, ZL (reprint author), Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China.

合写作者：Meng, Zhaoliang,Luo, Zhongxuan

发表时间：2016-01-01

发表刊物：DISCRETE DYNAMICS IN NATURE AND SOCIETY

收录刊物：SCIE

ISSN号：1026-0226

摘要：We study the singularity of multivariate Hermite interpolation of type total degree on.. nodes with 3 + m <= d(d + 3)/2. We first check the number of the interpolation conditions and the dimension of interpolation space. And then the singularity of the interpolation schemes is decided for most cases. Also some regular interpolation schemes are derived, a few of which are proved due to theoretical argument and most of which are verified by numerical method. There are some schemes to be decided and left open.