Datasets

subject: Mathematics subject: weight functions type: dataset date: 2016

Total is 46 Results
OPCBSPL: Orthogonal polynomials relative to cardinal B-spline weight functions

10.4231/R7NG4NKC

Walter Gautschi, 0000-0001-9184-8899

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

Gauss quadrature rules

10.4231/R72805KQ

Walter Gautschi, 0000-0001-9184-8899

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

32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac-type weight function with exponent r=2

10.4231/R77S7KR9

Walter Gautschi, 0000-0001-9184-8899

12/09/2016

32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=[1/(exp(x)+1)]^r on [0,Inf], r=2

Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac-type weight function with exponent r=4

10.4231/R708639Z

Walter Gautschi, 0000-0001-9184-8899

12/09/2016

32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=[1/(exp(x)+1)]^r on [0,Inf], r=4

Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

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