The main purpose of this paper is to introduce a numerical method for the computation of cubature rules on 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 {ξ_d} and the weights {w_k} are new. New rules are also achieved for degrees 15, d=17, 19 and d=23 respectively with 43, 54, 67 and 96 points.
Computing almost minimal formulas on the square
SOMMARIVA, ALVISE
2012
Abstract
The main purpose of this paper is to introduce a numerical method for the computation of cubature rules on 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 {ξ_d} and the weights {w_k} are new. New rules are also achieved for degrees 15, d=17, 19 and d=23 respectively with 43, 54, 67 and 96 points.File in questo prodotto:
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