A modified sinc quadrature rule for functions with poles near the arc of integration
From MaRDI portal
Publication:1822889
DOI10.1007/BF02219232zbMath0679.65011OpenAlexW2040841120MaRDI QIDQ1822889
Publication date: 1989
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02219232
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)
Related Items
Numerical integration of functions with poles near the interval of integration, A sinc quadrature rule for Hadamard finite-part integrals, Computing Fresnel integrals via modified trapezium rules, Computation of the Complex Error Function Using Modified Trapezoidal Rules, On the evaluation of fermi-Dirac integral and its derivatives by IMT and DE quadrature methods, The use of rational functions in numerical quadrature, The accurate evaluation of a particular Fermi-Dirac integral, On The Use of Conformal Maps for the Acceleration of Convergence of the Trapezoidal Rule and Sinc Numerical Methods
Cites Work
- Unnamed Item
- A modified Gaussian quadrature rule for integrals involving poles of any order
- Approximations via Whittaker's cardinal function
- Modified quadrature formulas for functions with nearby poles
- Optimal quadratures in H(sub)p spaces
- Error Bounds for Gaussian Quadrature of Analytic Functions
- Quadrature Formulas for Functions with Poles Near the Interval of Integration
- Convergence of Product Integration Rules for Functions With Interior and Endpoint Singularities Over Bounded and Unbounded Intervals
- Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
- Subtracting Out Complex Singularities in Numerical Integration
- The evaluation of integrals of periodic analytic functions