Construction of a Mixed Quadrature Rule using Three Different Well-Known Quadrature Rules
Debasish Das, Rajani Ballav Dash, Parthasarathi Das
Abstract
Debasish Das, Rajani Ballav Dash, Parthasarathi Das
Abstract
This paper deals with construction of a mixed quadrature rule of precision nine by using Gauss- Legendre 3-point rule, Lobatto 4-point rule and Clenshaw-Curtis 5-point rule, each having precision five. This mixed rule is successfully tested on different real definite integrals.
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This paper deals with construction of a mixed quadrature rule of precision nine by using Gauss- Legendre 3-point rule, Lobatto 4-point rule and Clenshaw-Curtis 5-point rule, each having precision five. This mixed rule is successfully tested on different real definite integrals.
Key concepts: Gaussian quadrature, Gauss–Kronrod quadrature formula, Quadrature (astronomy), Clenshaw–Curtis quadrature, Gauss–Jacobi quadrature, Mathematics, Tanh-sinh quadrature, Gauss–Hermite quadrature