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.
Keywords for this software
References in zbMATH (referenced in 46 articles )
Showing results 1 to 20 of 46.
Sorted by year (- Reichel, Lothar; Spalević, Miodrag M.: Averaged Gauss quadrature formulas: properties and applications (2022)
- Saye, Robert I.: High-order quadrature on multi-component domains implicitly defined by multivariate polynomials (2022)
- Trefethen, Lloyd N.: Exactness of quadrature formulas (2022)
- Ali, Zulfiqar; Ma, Weiyin: Isogeometric collocation method with intuitive derivative constraints for PDE-based analysis-suitable parameterizations (2021)
- Gil, Amparo; Segura, Javier; Temme, Nico M.: Fast and reliable high-accuracy computation of Gauss-Jacobi quadrature (2021)
- 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)
- Guimarães, Osvaldo; Labecca, William; Piqueira, José R. C.: Tensor solutions in irregular domains: eigenvalue problems (2021)
- Hrycak, Tomasz; Schmutzhard, Sebastian: Error bounds for the numerical evaluation of Legendre polynomials by a three-term recurrence (2021)
- Wang, Yifei; Huang, Jin; Wen, Xiaoxia: Two-dimensional Euler polynomials solutions of two-dimensional Volterra integral equations of fractional order (2021)
- Aceto, Lidia; Novati, Paolo: Padé-type approximations to the resolvent of fractional powers of operators (2020)
- Bardenet, Rémi; Hardy, Adrien: Monte Carlo with determinantal point processes (2020)
- Dimitrov, Dimitar K.; Peixoto, Lourenço L.: An efficient algorithm for the classical least squares approximation (2020)
- Xiang, Shuhuang; Liu, Guidong: Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities (2020)
- Aceto, Lidia; Novati, Paolo: Rational approximations to fractional powers of self-adjoint positive operators (2019)
- Gil, Amparo; Segura, Javier; Temme, Nico M.: Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures (2019)
- Gil, Amparo; Segura, Javier; Temme, Nico M.: Noniterative computation of Gauss-Jacobi quadrature (2019)
- Aceto, Lidia; Novati, Paolo: Efficient implementation of rational approximations to fractional differential operators (2018)
- Acosta, Gabriel; Borthagaray, Juan Pablo; Bruno, Oscar; Maas, Martín: Regularity theory and high order numerical methods for the (1D)-fractional Laplacian (2018)
- Bremer, James: On the numerical solution of second order ordinary differential equations in the high-frequency regime (2018)
- Saadatmandi, Abbas; Khani, Ali; Azizi, Mohammad-Reza: A sinc-Gauss-Jacobi collocation method for solving Volterra’s population growth model with fractional order (2018)