subject: Orthogonal polynomials subject: Mathematics
10.4231/R7F18WNB
04/23/2014
Matlab routines and data sets that compute repeated modifications of orthogonal polynomials
Computer Science Gaussian quadrature Gaussian quadrature of functions having poles Jacobi polynomials Logarithmic weight functions Mathematics Matlab Modification algorithms for orthogonal polynomials Numerical integrations Orthogonal polynomials Software source code Walter Gautschi Archives
10.4231/R71V5BW8
04/23/2014
Matlab routines that calculate high-precision Gauss-Turan quadrature rules
Computer Science Gauss-type quadrature rules Hermite weight function Laguerre weight functions Mathematics Matlab Orthogonal polynomials Software source code Variable-precision arithmetic Walter Gautschi Archives
10.4231/R75H7D6P
04/23/2014
Matlab routines for neutralizing nearby singularities in numerical quadrature
Computer Science Gaussian quadrature Mathematics Matlab nearby singularities Numerical quadrature Orthogonal polynomials Software source code Walter Gautschi Archives
10.4231/R7X34VD9
04/28/2014
Matlab scripts for computing orthogonal polynomials whose weight function involves an exponential integral
Computer Science exponential integrals Gaussian quadrature Logarithmic weight functions Mathematics Matlab Orthogonal polynomials Software source code Variable-precision arithmetic Walter Gautschi Archives
10.4231/R7959FHP
03/29/2017
This is a set of Matlab codes and data files for generating orthogonal polynomials and related quadrature rules.
Computer Science Gauss-type quadrature rules Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Software source code Variable-precision arithmetic Walter Gautschi Archives
10.4231/R7HT2M9T
02/27/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=|x|^μ*exp(-|x|^ν) on [-Inf,Inf], μ=0, ν=3
Computer Science Freud weight function Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7D21VMV
02/27/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^μ*exp(-x^ν) on [0,Inf], μ=0, ν=3
Computer Science Freud weight function Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R78913V2
02/27/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x^2)^(λ-1/2)*exp(-a*x^2) on [-1,1], λ=2, a=8
Computer Science Gegenbauer weigh function Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R74J0C39
02/27/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x^2)^(λ-1/2)*exp(-a*x^2) on [-1,1], λ=4, a=8
Computer Science Gegenbauer weigh function Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R70R9MC1
02/27/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x^2)^(λ-1/2)*exp(-a*x^2) on [-1,1], λ=8, a=8
Computer Science Gegenbauer weigh function Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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