Optimal quadrature formulas with derivative for Hadamard type singular integrals
D.M. Akhmedov, Kholmat Shadimetov
Abstract
In the present paper in L2(m) (0,1) space the optimal quadrature formulas with derivatives are constructed for approximate calculation of the Hyper-singular integral. Explicit formulas for the optimal coefficients are obtained. Some numerical results are presented to show the validity and accuracy of the proposed method.
Topics & Concepts
Quadrature (astronomy)Hadamard transformMathematicsSingular integralNumerical integrationMathematical analysisType (biology)Applied mathematicsClenshaw–Curtis quadratureSpace (punctuation)Gaussian quadratureIntegral equationNyström methodComputer sciencePhysicsOperating systemOpticsBiologyEcologyElectromagnetic Scattering and AnalysisMathematical functions and polynomialsIterative Methods for Nonlinear Equations