Stable integration rules with scattered integration points
The author proposes a general method for functional approximation applied to produce stable multidimensional integration rules. Integration formulas with scattered nodes are constructed to be exact for a quasi-uniform distribution of the integration points. Numerical results on scattered data integration rules in 2-D and 3-D are included. The author demonstrates that the proposed method is useful for deriving numerical integration rules based upon scattered-data information.
scientific article; zbMATH DE number 1398804