On the sensitivity of orthogonal polynomials to perturbations in the moments
Numerische Mathematik
Spline approximations to spherically symmetric distributions
Numerische Mathematik
Moment-preserving spline approximation on finite intervals
Numerische Mathematik
Algorithm 793: GQRAT—Gauss quadrature for rational functions
ACM Transactions on Mathematical Software (TOMS)
Distance Geometry Optimization for Protein Structures
Journal of Global Optimization
Proceedings of the 8th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface
Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions
Journal of Computational and Applied Mathematics
Gauss-Radau formulae for Jacobi and Laguerre weight functions
Computational science, mathematics and software
Orthogonal polynomials (in Matlab)
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the seventh international symposium on Orthogonal polynomials, special functions and applications
Rapid evaluation of radial basis functions
Journal of Computational and Applied Mathematics
Orthogonal polynomials and Gaussian quadrature rules related to oscillatory weight functions
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the conference on orthogonal functions and related topics held in honor of Olav Njåstad
Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces I: algorithms
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Beyond Wiener---Askey Expansions: Handling Arbitrary PDFs
Journal of Scientific Computing
Numerical calculation of the moments of the population balance equation
Journal of Computational and Applied Mathematics
Extending the fast multipole method to charges inside or outside a dielectric sphere
Journal of Computational Physics
Efficient Gauss-related quadrature for two classes of logarithmic weight functions
ACM Transactions on Mathematical Software (TOMS)
Algorithm 880: A testing infrastructure for symmetric tridiagonal eigensolvers
ACM Transactions on Mathematical Software (TOMS)
Trigonometric orthogonal systems and quadrature formulae
Computers & Mathematics with Applications
Numerical Integration with Complex Jacobi Weight Function
Numerical Analysis and Its Applications
A Nyström method for a class of Fredholm integral equations of the third kind on unbounded domains
Applied Numerical Mathematics
A Sixth-order Image Approximation to the Ionic Solvent Induced Reaction Field
Journal of Scientific Computing
Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces I: algorithms
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Orthogonal polynomials (in Matlab)
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the seventh international symposium on Orthogonal polynomials, special functions and applications
Rapid evaluation of radial basis functions
Journal of Computational and Applied Mathematics
Orthogonal polynomials and Gaussian quadrature rules related to oscillatory weight functions
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the conference on orthogonal functions and related topics held in honor of Olav Njåstad
The weights of classical Gauss--Radau quadratures with double end-point
Applied Numerical Mathematics
Gauss quadrature routines for two classes of logarithmic weight functions
Numerical Algorithms
Extended lagrange interpolation and nonclassical Gauss quadrature formulae
Mathematical and Computer Modelling: An International Journal
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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.