subject: Mathematics subject: Walter Gautschi Archives subject: Gaussian quadrature
10.4231/R7XG9P5S
03/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=log((1+x^(1/2))/(1-x^(1/2))) on [0,1]
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/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/R79P2ZMR
01/10/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*(x-1-log(x)) on [0,Inf], a=-1/2
Computer Science Gaussian quadrature Logarithmic weight functions Mathematics Modification algorithms for orthogonal polynomials Modified Chebyshev algorithm Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7SQ8XDM
12/05/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*(x-1-log(x)) on [0,Inf], a=-1/2
Computer Science Gaussian quadrature Logarithmic weight functions Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives
10.4231/R78P5XHT
12/05/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^a*exp(-x)*(x-1-log(x)) on [0,Inf], a=1/2
Computer Science Gaussian quadrature Logarithmic weight functions Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives
10.4231/R72805KQ
12/06/2016
Variable-precision Matlab routine for generating the nodes and weights of a Gaussian quadrature rule
Computation of recurrence coefficients and special Gaussian quadrature rules Computer Science Gaussian quadrature Mathematics Walter Gautschi Archives weight functions
10.4231/R7HQ3WW3
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[1/(exp(x)+1)]^r on [0,Inf], r=1
Computer Science Equation Table Fermi Dirac weight Function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7CZ354Q
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(1/2)/(exp(x)-1) on [0,Inf]
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Moment problem Numerical integrations Orthogonal polynomials Quadrature and cubature formulas Slowly convergent series Spiral of Theodorus Summation of series Walter Gautschi Archives
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