The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary

The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.

  
       
         
    STUDIA MATHEMATICA - Issue no. 4 / 2007  
         
  Article:   ON CERTAIN NUMERICAL CUBATURE FORMULAS FOR A TRIANGULAR DOMAIN.

Authors:  ALINA BEIAN-PUŢURA. 		 
       
         
  Abstract:  The purpose of this article is to discuss certain cubature formulas for the approximation of the value of a definite double integral extended over a triangular domain. We start by using the Biermann’s interpolation formula [5], [19]. Then we consider also the results obtained by D.V. Ionescu in the paper [12], devoted to the construction of some cubature formulas for evaluating definite double integrals over an arbitrary triangular domain. In the recent papers [6] and [7] there were investigated some homogeneous cubature formulas for a standard triangle. In the case of the triangle having the vertices (0, 0), (1, 0), (0, 1) there were constructed by H. Hillion [11] several cubature formulas by starting from products of Gauss-Jacobi formulas and using an affine transformation, which can be seen in the book of A.H. Stroud [22].  
         
     
         
         
      Back to previous page