subject: Walter Gautschi Archives subject: Orthogonal polynomials
Total is 277 Results
OPCBSPL: Orthogonal polynomials relative to cardinal B-spline weight functions
10.4231/R7NG4NKC
10/28/2016
A stable and efficient discretization procedure is developed to compute recurrence coefficients for orthogonal polynomials whose weight function is a polynomial cardinal B-spline of order greater than, or equal to, one.
B-spline Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for an Airy weight function
10.4231/R7V122R6
10/19/2016
32-digit values of the first 100 recurrence coefficients for the (normalized) weight function w(x)=c*x^(-5/6)e^(-x)Ai((3x/2)^(2/3)) on [0,Inf], c=2^(-1/6)*3^(1/6)/pi^(1/2), where Ai is the Airy function
Airy weight function Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
SOPQ: Symbolic OPQ
10.4231/R7MW2F3P
02/20/2020
This includes symbolic versions of some of the more important OPQ routines.
Airy weight function Bose-Einstein distribution Chebyshev-type quadratures Classical weight functions Computer Science Fermi Dirac weight Function Freud weight function Gauss-type quadrature rules Hermite weight function Jacobi weight functions K-Bessel weight function Laguerre weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Perl Script quadrature Software source code Walter Gautschi Archives Walter Gautschi Selected Works
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[(1-x^2/2)*(1-x^2)]^(-1/2) on [-1,1]
10.4231/R7HH6H1D
11/22/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=((1-om2*x^2)*(1-x^2))^(-1/2) on [-1,1], om2=1/2
Chebyshev weight function Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
BIJ: Matlab programs for testing and extending Bernstein's Inequality for Jacobi polynomials
10.4231/R7V985Z5
04/23/2014
Bernstein’s inequality for Jacobi polynomials is analyzed here analytically and computationally with regard to validity and sharpness
Bernstein’s inequality Computer Science Erdelyi–Magnus–Nevai conjecture Jacobi polynomials Mathematics Matlab Orthogonal polynomials Sharpness Software source code Walter Gautschi Archives
CIZJP: Matlab programs for conjectured inequalities for zeros of Jacobi polynomials
10.4231/R7KS6PH4
04/23/2014
Inequalities for the largest zero of Jacobi polynomials are here extended to all zeros of Jacobi polynomials, and new relevant conjectures are formulated.
Computer Science Gauss quadrature approximation Inequalities Jacobi polynomials Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives zeros
GQLOG: Matlab routines for computing Gauss Quadrature rules with logarithmic weight functions
10.4231/R72R3PMB
04/23/2014
Matlab routines for computing Gauss Quadrature rules with logarithmic weight functions
Computer Science Gaussian quadrature Jacobi weight functions Logarithmic weight functions Mathematics Matlab Modified Chebyshev algorithm Orthogonal polynomials Software source code Variable-precision arithmetic Walter Gautschi Archives
LAMBERTW: Matlab programs for evaluating the Lambert W-functions and some of their integrals
10.4231/R7Z31WJP
04/23/2014
Matlab programs for evaluating the Lambert W-functions and some of their integrals
Computation of special functions Computer Science Guassian Quadrature Integrals of Lambert W-functions Lambert W-functions· Mathematics Matlab Nonstandard Gaussian quadrature Numerical approximation Numerical integrations Orthogonal polynomials Software source code Variable-precision computation Walter Gautschi Archives
OCVdM: Optimally conditioned Vandermonde matrices
10.4231/R7TB14TB
04/23/2014
Matlab routines for computing optimally conditioned Vandermonde matrices
Computer Science Condition Numbers Guassian Quadrature Logarithmic weight functions Mathematics Matlab Orthogonal polynomials Singular value decomposition Software source code Vandermonde matrices Walter Gautschi Archives
HOGGRL: High-order generalized Gauss-Radau and Gauss-Lobatto Formulae for Jacobi and Laguerre weight functions
10.4231/R7G15XSQ
04/23/2014
Matlab source codes and files that compute the high-order Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions
Computer Science High-order generalized Gauss–Radau and Gauss–Lobatto quadrature formulae Jacobi weight functions Laguerre weight functions Mathematics Matlab Orthogonal polynomials Software source code Walter Gautschi Archives
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