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An algorithm for one-and two-dimensional quadrature rules

✍ Scribed by F. Caliò; C. Dagnino

Book ID
110562263
Publisher
Springer Milan
Year
1977
Tongue
English
Weight
309 KB
Volume
14
Category
Article
ISSN
0008-0624

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A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions
✍ Hong Xiao; Zydrunas Gimbutas 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 740 KB

squares Newton's method a b s t r a c t We present a numerical algorithm for the construction of efficient, high-order quadratures in two and higher dimensions. Quadrature rules constructed via this algorithm possess positive weights and interior nodes, resembling the Gaussian quadratures in one di