subject: Orthogonal polynomials subject: Walter Gautschi Archives
Total is 277 Results
SRJAC: Sub-range Jacobi polynomials
10.4231/R7JS9NCR
04/23/2014
Matlab routines for computing sub-range Jacobi polynomials within the sub interval of [-1, 1]
Computation of recurrence coefficients and special Gaussian quadrature rules Computer Science Gaussian quadrature Jacobi weight functions Mathematics Matlab Orthogonal polynomials Software source code Sub-range Jacobi polynomials Walter Gautschi Archives
RMOP: Repeated modifications of orthogonal polynomials
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
HPGT: High-precision Gauss-Turan quadrature rules
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
NEUTRAL: Neutralizing nearby singularities in numerical quadrature
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
POEXPINT: Polynomials orthogonal with respect to the exponential integral
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
OPQ: A Matlab suite of programs for generating orthogonal polynomials and related quadrature rules
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
OPCBSPL: Orthogonal polynomials relative to cardinal B-spline weight functions
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
32-digit values of the first 100 recurrence coefficients for an Airy weight function
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
32-digit values of the first 100 recurrence coefficients for the half-range bimodal weight function with parameter ε=1
10.4231/R73T9F6B
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(x^2)*exp[-(x^2-1)^2/(4*ε)] on [0,Inf], ε=1
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 half-range bimodal weight function with parameter ε=.1
10.4231/R7DB7ZTT
01/13/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(x^2)*exp[-(x^2-1)^2/(4*ε)] on [0,Inf], ε=.1
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
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