subject: Mathematics subject: Computer Science
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/R7Q23X6V
01/10/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*mu)*exp(-x^2) on [0,c], c=1, mu=-1/4
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Subrange Hermite polynomials Walter Gautschi Archives weight functions
10.4231/R7TT4NXV
11/10/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*mu)*exp(-x^2) on [0,c], c=1, mu=1/4
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Subrange Hermite polynomials Walter Gautschi Archives weight functions
10.4231/R7FN145H
11/10/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*mu)*exp(-x^2) on [c,Inf], c=1, mu=-1/4
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Subrange Hermite polynomials Walter Gautschi Archives weight functions
10.4231/R7K935HZ
01/10/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(2*mu)*exp(-x^2) on [c,Inf], c=1, mu=1/4
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Subrange Hermite polynomials Walter Gautschi Archives weight functions
10.4231/R7639MQT
03/30/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*[log(1/x)]^b on [0,1], a = 0, b = 1
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R72B8W0H
11/15/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*[log(1/x)]^b on [0,1], a=0, b=2
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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