subject: Mathematics subject: Computer Science
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/R7SB43PZ
04/23/2014
INERFC: Evaluation of the Repeated Integrals of the Coerror Function by Half-Range Gauss-Hermite Quadrature
Coerror Function Computer Science Mathematics Mathematics Education Matlab Quadrature and cubature formulas Walter Gautschi Archives
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
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
10.4231/R7G44N8B
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp[-5*x+6*(exp(-x)-1)] on [0,Inf]
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7V9862X
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*μ)*exp(-x^2) on [c,Inf], c = -1, μ = 0
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7QN64Q2
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*μ)*exp(-x^2) on [c,Inf], c = -1, μ = -1/4
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Subrange Hermite polynomials Walter Gautschi Archives weight functions
10.4231/R7KW5D16
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*μ)*exp(-x^2) on [c,Inf], c = -1, μ = 1/4
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Subrange Hermite polynomials Walter Gautschi Archives weight functions
10.4231/R7028PHC
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-x^2) on [c,Inf], c = -√(1/2)
Computer Science Hermite weight function Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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