Algorithm 726: ORTHPOL - A package of routines for generating orthogonal polynomials and Gauss‐type quadrature rules. A collection of subroutines and examples of their uses, as well as the underlying numerical methods, are described for generating orthogonal polynomials relative to arbitrary weight functions. The object of these routines is to produce the coefficients in the three-term recurrence relation satisfied by the orthogonal polynomials. Once these are known, additional data can be generated, such as zeros of orthogonal polynomials and Gauss-type quadrature rules, for which routines are also provided. (Source: http://dl.acm.org/)

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 82 articles , 2 standard articles )

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  1. Kayijuka, Idrissa; Ege, Serife Muge; Topal, Fatma Serap; Konuralp, Ali: Fast Gauss-related quadrature for highly oscillatory integrals with logarithm and Cauchy-logarithmic type singularities (2021)
  2. Liu, Zexin; Narayan, Akil: On the computation of recurrence coefficients for univariate orthogonal polynomials (2021)
  3. Arceci, Luca; Kohn, Lucas; Russomanno, Angelo; Santoro, Giuseppe E.: Dissipation assisted thouless pumping in the Rice-Mele model (2020)
  4. Costabile, F. A.; Gualtieri, M. I.; Napoli, A.: Matrix calculus-based approach to orthogonal polynomial sequences (2020)
  5. Morrison, Conor L.; Shizgal, Bernard: Pseudospectral solution of the Schrödinger equation for the Rosen-Morse and Eckart potentials (2019)
  6. Johnson, Robert W.: Algorithm 988: AMGKQ: an efficient implementation of adaptive multivariate Gauss-Kronrod quadrature for simultaneous integrands in Octave/MATLAB (2018)
  7. Notaris, Sotirios E.: Anti-Gaussian quadrature formulae based on the zeros of Stieltjes polynomials (2018)
  8. Vabishchevich, Petr N.: Numerical solution of time-dependent problems with fractional power elliptic operator (2018)
  9. Behan, Connor: PyCFTBoot: a flexible interface for the conformal bootstrap (2017)
  10. Deckers, Karl; Mougaida, Ahlem; Belhadjsalah, Hédi: Algorithm 973: Extended rational Fejér quadrature rules based on Chebyshev orthogonal rational functions (2017)
  11. Milovanović, Gradimir V.: Symbolic-numeric computation of orthogonal polynomials and Gaussian quadratures with respect to the cardinal (B)-spline (2017)
  12. Ahlfeld, R.; Belkouchi, B.; Montomoli, F.: SAMBA: sparse approximation of moment-based arbitrary polynomial chaos (2016)
  13. Bigoni, Daniele; Engsig-Karup, Allan P.; Eskilsson, Claes: Efficient uncertainty quantification of a fully nonlinear and dispersive water wave model with random inputs (2016)
  14. Shizgal, Bernie D.: Pseudospectral solution of the Fokker-Planck equation with equilibrium bistable states: the eigenvalue spectrum and the approach to equilibrium (2016)
  15. Babaei, Masoud; Alkhatib, Ali; Pan, Indranil: Robust optimization of subsurface flow using polynomial chaos and response surface surrogates (2015)
  16. Baye, Daniel: The Lagrange-mesh method (2015)
  17. Dresse, Zoé; Van Assche, Walter: Orthogonal polynomials for Minkowski’s question mark function (2015)
  18. Notaris, Sotirios E.: The error norm of Gauss-Radau quadrature formulae for Bernstein-Szegö weight functions (2015)
  19. Alkhatib, Ali; King, Peter: An approximate dynamic programming approach to decision making in the presence of uncertainty for surfactant-polymer flooding (2014)
  20. Alkhatib, Ali; King, Peter: Robust quantification of parametric uncertainty for surfactant-polymer flooding (2014)

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