A modified Gaussian quadrature rule for integrals involving poles of any order
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Publication:1072036
DOI10.1007/BF01933749zbMath0587.41021MaRDI QIDQ1072036
Publication date: 1986
Published in: BIT (Search for Journal in Brave)
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximate quadratures (41A55) Numerical integration (65D30)
Related Items
The evaluation of Legendre functions of the second kind ⋮ Numerical integration of functions with poles near the interval of integration ⋮ The use of rational functions in numerical quadrature ⋮ A modified sinc quadrature rule for functions with poles near the arc of integration
Cites Work
- Modified quadrature formulas for functions with nearby poles
- Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals
- Subtracting Out Complex Singularities in Numerical Integration
- Error-Bounds for the Evaluation of Integrals by the Euler-Maclaurin Formula and by Gauss-Type Formulae
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