Some Derivative-Free Quadrature Rules for Numerical Approximations of Cauchy Principal Value of Integrals | Zendy

Rabindra Nath Das | Zendy; Manoj Kumar Hota | Zendy; Manoranjan Bej | Zendy

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Some Derivative-Free Quadrature Rules for Numerical Approximations of Cauchy Principal Value of Integrals

Author(s) -

Rabindra Nath Das,

Manoj Kumar Hota,

Manoranjan Bej

Publication year - 2014

Publication title -

isrn computational mathematics

Language(s) - English

Resource type - Journals

ISSN - 2090-7842

DOI - 10.1155/2014/186397

Subject(s) - cauchy principal value , mathematics , quadrature (astronomy) , cauchy distribution , numerical integration , gauss–jacobi quadrature , clenshaw–curtis quadrature , tanh sinh quadrature , residue theorem , mathematical analysis , gauss–kronrod quadrature formula , gauss–laguerre quadrature , derivative (finance) , cauchy's integral formula , nyström method , initial value problem , cauchy problem , gaussian quadrature , integral equation , cauchy boundary condition , physics , boundary value problem , financial economics , optics , economics , free boundary problem

Some derivative-free six-point quadrature rules for approximate evaluation of Cauchy principal value of integrals have been constructed in this paper. Rules are numerically verified by suitable integrals, their degrees of precision have been determined, and their respective errors have been asymptotically estimated.

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