On spherical harmonics based numerical quadrature over the surface of a sphere
نویسندگان
چکیده
It has been suggested in the literature that different quasi-uniform node sets on a sphere lead to quadrature formulas of highly variable quality. We analyze here the nature of these variations, and describe an easy-to-implement leastsquares remedy for previously problematic cases. Quadrature accuracies are then compared for different node sets ranging from fully random to those based on Gaussian quadrature concepts.
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ورودعنوان ژورنال:
- Adv. Comput. Math.
دوره 40 شماره
صفحات -
تاریخ انتشار 2014