• OPQ

  • Referenced in 384 articles [sw11881]
  • Orthogonal polynomials. Computation and approximation. Orthogonal polynomials are a widely used class of mathematical functions ... downloadable from the Internet, to generate orthogonal polynomials of a great variety: OPQ: A MATLAB ... SUITE OF PROGRAMS FOR GENERATING ORTHOGONAL POLYNOMIALS AND RELATED QUADRATURE RULES...
  • ISOLATE

  • Referenced in 213 articles [sw07741]
  • still works with huge polynomials, including orthogonal polynomials of degree 1000 and more, which were...
  • ORTHPOL

  • Referenced in 79 articles [sw00659]
  • package of routines for generating orthogonal polynomials and Gauss‐type quadrature rules. A collection ... numerical methods, are described for generating orthogonal polynomials relative to arbitrary weight functions. The object ... term recurrence relation satisfied by the orthogonal polynomials. Once these are known, additional data ... generated, such as zeros of orthogonal polynomials and Gauss-type quadrature rules, for which routines...
  • OrthogonalPolynomials

  • Referenced in 61 articles [sw00658]
  • package “OrthogonalPolynomials’ which performs construction of orthogonal polynomials and quadrature formulas. The package is implemented ... almost all the classes of orthogonal polynomials studied...
  • na1

  • Referenced in 53 articles [sw11516]
  • avoided by considering only the existing orthogonal polynomials in the Lanczos type algorithms. The methods...
  • cheney-kincaid

  • Referenced in 25 articles [sw11656]
  • adaptive Simpson’s integration, and discrete orthogonal polynomials, have been added. Many problem sets throughout...
  • na5

  • Referenced in 24 articles [sw11489]
  • orthogonal polynomial which is computed recursively. The conjugate gradient squared algorithm (CGS) consists in takingr...
  • MOPS

  • Referenced in 21 articles [sw30547]
  • MOPS: multivariate orthogonal polynomials (symbolically). We present a Maple library (MOPS) for computing Jack, Hermite...
  • MPSolve

  • Referenced in 14 articles [sw05298]
  • matrix power series, interpolation problems, orthogonal polynomials and rational functions.Efficiency of the algorithms in terms...
  • IQPACK

  • Referenced in 7 articles [sw00450]
  • Jacobi matrix J associated with the polynomials orthogonal on (a,b) with respect ... user-supplied integrand, (2) check the polynomial order of precision of a quadrature formula...
  • splib

  • Referenced in 7 articles [sw35310]
  • They deal with standard families of orthogonal polynomials (Legendre, Chebyshev and, more in general, Jacobi...
  • CAOP

  • Referenced in 4 articles [sw10033]
  • CAOP: Computer Algebra and Orthogonal Polynomials. CAOP is a package for calculating formulas for orthogonal...
  • FastTransforms.jl

  • Referenced in 5 articles [sw30132]
  • user to conveniently work with orthogonal polynomials with degrees well into the millions. This package...
  • na15

  • Referenced in 5 articles [sw11491]
  • Modified Chebyshev methods for d-orthogonal polynomial sequences d∈ℕ. Shohat-Favard’s method...
  • AS 10

  • Referenced in 3 articles [sw03832]
  • Algorithm AS 10. The use of orthogonal polynomials...
  • gaussquad

  • Referenced in 2 articles [sw20880]
  • different weight functions corresponding to the orthogonal polynomials in package orthopolynom. Examples verify the orthogonality...
  • PolyChaos

  • Referenced in 1 article [sw33430]
  • Polynomial Chaos in Systems and Control. Polynomial chaos expansion (PCE) is an increasingly popular technique ... theory of Hilbert spaces and orthogonal polynomials, PCE allows for a unifying mathematical framework ... practical PCE-based applications we require orthogonal polynomials relative to given probability densities, and their ... numerical routines to construct the respective orthogonal polynomials, and the quadrature rules together with tensorized...
  • Mantissa

  • Referenced in 1 article [sw05600]
  • like rational and double polynomials, various orthogonal polynomials, some optimization algorithms using direct search methods...
  • NISP

  • Referenced in 1 article [sw32115]
  • based on chaos polynomials, which are orthogonal polynomials which are used as an approximation...