2016Zenodo (CERN European Organization for Nuclear Research)Open access

Forming a mixed Quadrature rule using an anti-Lobatto four point Quadrature rule

Bibhu Prasad Singh, Rajani Ballav Dash

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Abstract

Abstract A mixed quadrature rule of higher precision for approximate evaluation of real definite integrals has been constructed using an anti-Lobatto rule. The analytical convergence of the rule has been studied. The relative effciencies of the mixed quadrature rule has been shown with the help of suitable test integrals. The error bound has been determined asymptotically.

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Abstract A mixed quadrature rule of higher precision for approximate evaluation of real definite integrals has been constructed using an anti-Lobatto rule. The analytical convergence of the rule has been studied. The relative effciencies of the mixed quadrature rule has been shown with the help of suitable test integrals. The error bound has been determined asymptotically.

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Available abstract

Abstract A mixed quadrature rule of higher precision for approximate evaluation of real definite integrals has been constructed using an anti-Lobatto rule. The analytical convergence of the rule has been studied. The relative effciencies of the mixed quadrature rule has been shown with the help of suitable test integrals. The error bound has been determined asymptotically.

Key concepts: Mathematics, Quadrature (astronomy), Tanh-sinh quadrature, Clenshaw–Curtis quadrature, Gauss–Kronrod quadrature formula, Numerical integration, Gaussian quadrature, Gauss–Jacobi quadrature

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