FastGaussQuadrature

FastGaussQuadrature.jl: A Julia package to compute n-point Gauss quadrature nodes and weights to 16-digit accuracy and in O(n) time. So far the package includes gausschebyshev(), gausslegendre(), gaussjacobi(), gaussradau(), gausslobatto(), gausslaguerre(), and gausshermite(). This package is heavily influenced by Chebfun.

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References in zbMATH (referenced in 39 articles )

Showing results 1 to 20 of 39.
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  1. Gil, A.; Segura, J.; Temme, N. M.: Asymptotic expansions of Jacobi polynomials and of the nodes and weights of Gauss-Jacobi quadrature for large degree and parameters in terms of elementary functions (2021)
  2. Hrycak, Tomasz; Schmutzhard, Sebastian: Error bounds for the numerical evaluation of Legendre polynomials by a three-term recurrence (2021)
  3. Wang, Yifei; Huang, Jin; Wen, Xiaoxia: Two-dimensional Euler polynomials solutions of two-dimensional Volterra integral equations of fractional order (2021)
  4. Aceto, Lidia; Novati, Paolo: Padé-type approximations to the resolvent of fractional powers of operators (2020)
  5. Bardenet, Rémi; Hardy, Adrien: Monte Carlo with determinantal point processes (2020)
  6. Dimitrov, Dimitar K.; Peixoto, Lourenço L.: An efficient algorithm for the classical least squares approximation (2020)
  7. Xiang, Shuhuang; Liu, Guidong: Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities (2020)
  8. Aceto, Lidia; Novati, Paolo: Rational approximations to fractional powers of self-adjoint positive operators (2019)
  9. Gil, Amparo; Segura, Javier; Temme, Nico M.: Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures (2019)
  10. Gil, Amparo; Segura, Javier; Temme, Nico M.: Noniterative computation of Gauss-Jacobi quadrature (2019)
  11. Aceto, Lidia; Novati, Paolo: Efficient implementation of rational approximations to fractional differential operators (2018)
  12. Acosta, Gabriel; Borthagaray, Juan Pablo; Bruno, Oscar; Maas, Martín: Regularity theory and high order numerical methods for the (1D)-fractional Laplacian (2018)
  13. Bremer, James: On the numerical solution of second order ordinary differential equations in the high-frequency regime (2018)
  14. Saadatmandi, Abbas; Khani, Ali; Azizi, Mohammad-Reza: A sinc-Gauss-Jacobi collocation method for solving Volterra’s population growth model with fractional order (2018)
  15. Bremer, James: On the numerical calculation of the roots of special functions satisfying second order ordinary differential equations (2017)
  16. Bremer, James; Rokhlin, Vladimir: On the nonoscillatory phase function for Legendre’s differential equation (2017)
  17. Brzeziński, Dariusz W.: Comparison of fractional order derivatives computational accuracy -- right hand vs left hand definition (2017)
  18. Elgindy, Kareem T.: High-order, stable, and efficient pseudospectral method using barycentric Gegenbauer quadratures (2017)
  19. Jahanshahi, S.; Babolian, E.; Torres, D. F. M.; Vahidi, A. R.: A fractional Gauss-Jacobi quadrature rule for approximating fractional integrals and derivatives (2017)
  20. Kleefeld, A.; Reichwein, E.: Improvement of the inside-outside duality method (2017)

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