Stable integration rules with scattered integration points
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摘要
A general method for near-best approximations to functionals on Rd, using scattered-data information, is applied for producing stable multidimensional integration rules. The rules are constructed to be exact for polynomials of degree ⩽m and, for a quasi-uniform distribution of the integration points, it is shown that the approximation order is O(hm+1) where h is an average distance between the data points.
论文关键词:Numerical integration,Scattered data,Multidimensional
论文评审过程:Received 28 May 1997, Revised 8 December 1998, Available online 9 December 1999.
论文官网地址:https://doi.org/10.1016/S0377-0427(99)00218-6