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 46 articles )

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  1. Reichel, Lothar; Spalević, Miodrag M.: Averaged Gauss quadrature formulas: properties and applications (2022)
  2. Saye, Robert I.: High-order quadrature on multi-component domains implicitly defined by multivariate polynomials (2022)
  3. Trefethen, Lloyd N.: Exactness of quadrature formulas (2022)
  4. Ali, Zulfiqar; Ma, Weiyin: Isogeometric collocation method with intuitive derivative constraints for PDE-based analysis-suitable parameterizations (2021)
  5. Gil, Amparo; Segura, Javier; Temme, Nico M.: Fast and reliable high-accuracy computation of Gauss-Jacobi quadrature (2021)
  6. 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)
  7. Guimarães, Osvaldo; Labecca, William; Piqueira, José R. C.: Tensor solutions in irregular domains: eigenvalue problems (2021)
  8. Hrycak, Tomasz; Schmutzhard, Sebastian: Error bounds for the numerical evaluation of Legendre polynomials by a three-term recurrence (2021)
  9. Wang, Yifei; Huang, Jin; Wen, Xiaoxia: Two-dimensional Euler polynomials solutions of two-dimensional Volterra integral equations of fractional order (2021)
  10. Aceto, Lidia; Novati, Paolo: Padé-type approximations to the resolvent of fractional powers of operators (2020)
  11. Bardenet, Rémi; Hardy, Adrien: Monte Carlo with determinantal point processes (2020)
  12. Dimitrov, Dimitar K.; Peixoto, Lourenço L.: An efficient algorithm for the classical least squares approximation (2020)
  13. Xiang, Shuhuang; Liu, Guidong: Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities (2020)
  14. Aceto, Lidia; Novati, Paolo: Rational approximations to fractional powers of self-adjoint positive operators (2019)
  15. Gil, Amparo; Segura, Javier; Temme, Nico M.: Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures (2019)
  16. Gil, Amparo; Segura, Javier; Temme, Nico M.: Noniterative computation of Gauss-Jacobi quadrature (2019)
  17. Aceto, Lidia; Novati, Paolo: Efficient implementation of rational approximations to fractional differential operators (2018)
  18. Acosta, Gabriel; Borthagaray, Juan Pablo; Bruno, Oscar; Maas, Martín: Regularity theory and high order numerical methods for the (1D)-fractional Laplacian (2018)
  19. Bremer, James: On the numerical solution of second order ordinary differential equations in the high-frequency regime (2018)
  20. Saadatmandi, Abbas; Khani, Ali; Azizi, Mohammad-Reza: A sinc-Gauss-Jacobi collocation method for solving Volterra’s population growth model with fractional order (2018)

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