subject: Mathematics subject: Gaussian quadrature
10.4231/8GMH-WD16
05/26/2020
A set of MATLAB scripts related to Gauss quadrature and Christoffel function for halfrange bimodal-type weight functions
Christoffel function Computer Science Gaussian quadrature Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7CZ3555
05/10/2017
32-digit values of the first 65 recurrence coefficients for the Krylov-Pal'tsev weight function w(x)=x^a*exp(-x)*log(1+1/x) on [0,Inf], a=0
Computer Science Gaussian quadrature Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7JW8BS2
04/22/2014
28-digit values of the recursion coefficients for orthogonal polynomials relative to the Bessel weight function w(x)=fracsqrt3}}pi}K_1/3}(x) on [0,infty]
Computer Science Equation Table Gaussian quadrature K-Bessel weight function Mathematics Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
10.4231/R7H12ZX3
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the Bose-Einstein weight function w(x)=x/(e^x-1) computed by the SOPQ routine sr_boseeinstein(100,1,32)
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
10.4231/R77H1GGF
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the Bose-Einstein weight function w(x)=[x/(e^x-1)]^2 computed by the SOPQ routine sr_boseeinstein(100,2,32)
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R73R0QRQ
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the Bose-Einstein weight function w(x)=[x/(e^x-1)]^3 computed by the routine sr_boseeinstein(100,3,32)
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7000013
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials using the Bose-Einstein weight function: w(x)=[x/(e^x-1)]^4 computed by the SOPQ routine sr_boseeinstein(100,4,32)
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7C82765
04/24/2014
32-digit values of the first 100 recurrence coefficients relative to the Fermi-Dirac weight function w(x)=1/(e^x+1) computed by the SOPQ routine sr_fermidirac(100,1,32)
Computer Science Equation Table Fermi Dirac weight Function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7F769GC
04/22/2014
32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^10}) computed on R by the SOPQ routine sr_freud(100,0,10,32)
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7PN93HS
04/22/2014
32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^4) computed on R by the SOPQ routine sr_freud(100,0,4,32)
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
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