A New Strategy to Construct Embedded Cubature Formulae over Two-Dimensional Regions
Received:April 07, 2012  Revised:November 22, 2012
Key Words: cubature formulae   embedded cubature formulae   polynomial ideal   moment.  
Fund Project:Supported by the Natural Science Foundation of China (Grant Nos.61033012; 11171052), Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.20100041110036) and the Fundamental Research Funds for the Central Universities.
Author NameAffiliation
Ran YU School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Zhaoliang MENG School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Zhongxuan LUO School of Software Technology, Dalian University of Technology, Liaoning 116620, P. R. China 
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Abstract:
      The purpose of this paper is to study a new strategy to construct embedded cubature formulae over two-dimensional regions. A new kind of embedded cubature formulae with some nodes along the selected algebraic curve is constructed. Some examples on the unit disk are presented to illustrate the validity of this strategy.
Citation:
DOI:10.3770/j.issn:2095-2651.2013.02.002
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