Positivity of the Weights of Extended Clenshaw-Curtis Quadrature Rules
From MaRDI portal
Publication:5288229
DOI10.2307/2153111zbMath0779.65014OpenAlexW4255284089MaRDI QIDQ5288229
Sugiura, Hiroshi, Tatsuo Torii, Takemitsu Hasegawa
Publication date: 15 August 1993
Full work available at URL: https://doi.org/10.2307/2153111
Related Items (3)
A geometrical interpretation of the addition of nodes to an interpolatory quadrature rule while preserving positive weights ⋮ Polynomial wavelets on the interval ⋮ Filter matrix based on interpolation wavelets for solving Fredholm integral equations
Cites Work
- A method for numerical integration on an automatic computer
- Eine Fehlerabschätzung für positive Quadraturformeln. (An error estimate for positives quadrature formulas)
- Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type
- An extension of Clenshaw-Curtis quadrature
- On the method for numerical integration of Clenshaw and Curtis
- Angenäherte Tschebyscheff-Approximation einer Stammfunktion des Verfahrens von Clenshaw und Curtis
- Generalized Chebyshev Interpolation and Its Application to Automatic Quadrature
- Positivity of the Cotes Numbers for some Jacobi Abscissas—II
- Convergence of Extended Lagrange Interpolation
- A Family of Gauss-Kronrod Quadrature Formulae
- Linear Combinations of Orthogonal Polynomials Generating Positive Quadrature Formulas
- Algorithm 655
- Positivity of the Weights of Extended Gauss-Legendre Quadrature Rules
- An Algorithm Based on the FFT for a Generalized Chebyshev Interpolation
- An algorithm for generating interpolatory quadrature rules of the highest degree of precision with preassigned nodes for general weight functions
- Truncation Errors in Two Chebyshev Series Approximations
- The Calculation of Fourier Coefficients by the Mobius Inversion of the Poisson Summation Formula. Part I: Functions whose Early Derivatives are Continuous
- Implementing Clenshaw-Curtis quadrature, I methodology and experience
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Positivity of the Weights of Extended Clenshaw-Curtis Quadrature Rules
