Computing almost minimal formulas on the square

نویسندگان

  • Mattia Festa
  • Alvise Sommariva
چکیده

The main purpose of this paper is to introduce a numerical method for the computation of cubature rules in the square [−1, 1]2 that are almost minimal, i.e. with few points w.r.t. the degree of precision d. In particular for all 24 ≤ d ≤ 55 the sets ξd and the weights {wk} are new. New rules are also achieved for degrees 15, d = 17, 19 and d = 23 respectively with 43, 54, 67 and 96 points.

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عنوان ژورنال:
  • J. Computational Applied Mathematics

دوره 236  شماره 

صفحات  -

تاریخ انتشار 2012