New error bounds for modified quadrature formulas for Cauchy principal value integrals
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Publication:1372054
DOI10.1016/S0377-0427(97)00045-9zbMath0880.41024MaRDI QIDQ1372054
Publication date: 12 January 1998
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Related Items (5)
Numerical solution of certain Cauchy singular integral equations using a collocation scheme ⋮ A method for the practical evaluation of the Hilbert transform on the real line ⋮ An efficient method for approximate solution of a singular integral equation with Cauchy kernel ⋮ Approximating Cauchy-type singular integral by an automatic quadrature scheme ⋮ Numerical evaluation of Hilbert transforms for oscillatory functions: A convergence accelerator approach
Cites Work
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- On the uniform convergence of Gaussian quadrature rules for Cauchy principal value integrals
- The numerical evaluation of one-dimensional Cauchy principal value integrals
- On the numerical integration of certain singular integrals
- Quadrature formulas for Cauchy principal value integrals
- On the evaluation of one-dimensional Cauchy principal value integrals by rules based on cubic spline interpolation
- Modified compound quadrature rules for strongly singular integrals
- Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals
- Asymptotically sharp error estimates for modified compound quadrature formulae for Cauchy principal value integrals
- Peano kernels and bounds for the error constants of Gaussian and related quadrature rules for Cauchy principal value integrals
- Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals
- The numerical evaluation of Cauchy principal values of integrals by Romberg integration
- On the convergence of Hunter's quadrature rule for Cauchy principal value integrals
- Error Estimates for Three Methods of Evaluating Cauchy Principal Value Integrals
- ON THE BEST QUADRATURE FORMULA OF THE FORM $ \sum_{k=1}^np_kf(x_k)$ FOR SOME CLASSES OF DIFFERENTIABLE PERIODIC FUNCTIONS
- Integral representations of remainders
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