OrthogonalPolynomials

The authors give basic concepts of the “Mathematica” package “OrthogonalPolynomials’ which performs construction of orthogonal polynomials and quadrature formulas. The package is implemented almost all the classes of orthogonal polynomials studied so far.


References in zbMATH (referenced in 33 articles , 1 standard article )

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  1. Mastroianni, Giuseppe; Milovanović, Gradimir V.; Notarangelo, Incoronata: A Nyström method for a class of Fredholm integral equations on the real semiaxis (2017)
  2. Cvetković, Aleksandar S.; Matejić, Marjan M.; Milovanović, Gradimir V.: Orthogonal polynomials for modified Chebyshev measure of the first kind (2016)
  3. Masjed-Jamei, Mohammad; Milovanović, Gradimir V.: Weighted Hermite quadrature rules (2016)
  4. Spalević, M.M.; Cvetković, A.S.: Estimating the error of Gaussian quadratures with simple and multiple nodes by using their extensions with multiple nodes (2016)
  5. Stojanović, Vladica; Milovanović, Gradimir V.; Jelić, Gordana: Distributional properties and parameters estimation of GSB process: an approach based on characteristic functions (2016)
  6. Xu, Zhenhua; Milovanović, Gradimir V.: Efficient method for the computation of oscillatory Bessel transform and Bessel Hilbert transform (2016)
  7. Milovanović, Gradimir V.; Igić, Tomislav S.; Turnić, Dragana: Generalized quadrature rules of Gaussian type for numerical evaluation of singular integrals (2015)
  8. Cvetković, Aleksandar S.; Spalević, Miodrag M.: Estimating the error of Gauss-Turán quadrature formulas using their extensions (2014)
  9. De Bonis, Maria Carmela; Mastroianni, Giuseppe: Numerical treatment of a class of systems of Fredholm integral equations on the real line (2014)
  10. Esmaeili, Shahrokh; Milovanović, Gradimir: Nonstandard Gauss-Lobatto quadrature approximation to fractional derivatives (2014)
  11. Gautschi, Walter: High-precision Gauss-Turán quadrature rules for Laguerre and Hermite weight functions (2014)
  12. Meurant, Gérard; Sommariva, Alvise: Fast variants of the Golub and Welsch algorithm for symmetric weight functions in Matlab (2014)
  13. Milovanović, Gradimir V.; Spalević, Miodrag M.: Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients (2014)
  14. Milovanović, G.V.: Families of Euler-MacLaurin formulae for composite Gauss-Legendre and Lobatto quadratures (2013)
  15. Milovanović, Gradimir V.; Cvetković, Aleksandar S.: Special classes of orthogonal polynomials and corresponding quadratures of Gaussian type (2012)
  16. Baykara, N.A.; Gürvit, Ercan; Demiralp, Metin: The fluctuationlessness approach to the numerical integration of functions with a single variable by integrating Taylor expansion with explicit remainder term (2011)
  17. Mastroianni, G.; Notarangelo, I.: A Nyström method for Fredholm integral equations on the real line (2011)
  18. Occorsio, Donatella: A method to evaluate the Hilbert transform on ($0, +\infty $) (2011)
  19. Mastroianni, G.; Notarangelo, I.: A Lagrange-type projector on the real line (2010)
  20. Mastroianni, G.; Occorsio, D.: Some quadrature formulae with nonstandard weights (2010)

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