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• W2776322175 abstract "73 new cubature rules are found for three standard multidimensional integrals with spherically symmetric regions and weights, using direct search with a numerical zero-finder. All but four of the new rules have fewer integration points than known rules of the same degree, and twenty are within three points of M{o}ller's lower bound. Most have all positive coefficients and most have some symmetry, including some supported by one or two concentric spheres. They include degree 7 formulas for integration over the sphere and Gaussian-weighted integrals over all space, each in 6 and 7 dimensions, with 127 and 183 points, respectively." @default.
• W2776322175 created "2018-01-05" @default.
• W2776322175 creator A5025515119 @default.
• W2776322175 date "2019-01-01" @default.
• W2776322175 modified "2023-09-25" @default.
• W2776322175 title "Efficient cubature rules" @default.
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• W2776322175 doi "https://doi.org/10.1553/etna_vol51s219" @default.
• W2776322175 hasPublicationYear "2019" @default.
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