Near Minimum Quadrature Formulas over Fully Symmetric Planar Regions.
Technical rept. Jun 68-Jun 71,
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The nonexistence of 10-point 7th-degree quadrature formulas over fully symmetric regions is proven. Two 13-point, 7th-degree quadrature formulas over such regions are presented. First can be a 12-point quadrature formula if a condition is satisfied. The second can be also if another condition is satisfied. Five quadrature formulas of 3rd and 5th degree are extended to fully symmetric regions. Author
- Theoretical Mathematics