subject: Jacobi weight functions subject: Mathematics subject: Matlab
10.4231/R7QJ7F7V
04/23/2014
Matlab and FORTRAN codes to evaluate a densely and wildly oscillatory integral that had been proposed as a computational problem in the SIAM 100-Digit Challenge.
Computer Science FORTRAN Gauss quadrature approximation Jacobi weight functions Mathematics Matlab Numerical Evaluation Orthogonal polynomials Oscillatory integrals Software source code Walter Gautschi Archives
10.4231/R72R3PMB
04/23/2014
Matlab routines for computing Gauss Quadrature rules with logarithmic weight functions
Computer Science Gaussian quadrature Jacobi weight functions Logarithmic weight functions Mathematics Matlab Modified Chebyshev algorithm Orthogonal polynomials Software source code Variable-precision arithmetic Walter Gautschi Archives
10.4231/R7G15XSQ
04/23/2014
Matlab source codes and files that compute the high-order Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions
Computer Science High-order generalized Gauss–Radau and Gauss–Lobatto quadrature formulae Jacobi weight functions Laguerre weight functions Mathematics Matlab Orthogonal polynomials Software source code Walter Gautschi Archives
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
10.4231/R7MW2F3P
02/20/2020
This includes symbolic versions of some of the more important OPQ routines.
Airy weight function Bose-Einstein distribution Chebyshev-type quadratures Classical weight functions Computer Science Fermi Dirac weight Function Freud weight function Gauss-type quadrature rules Hermite weight function Jacobi weight functions K-Bessel weight function Laguerre weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Perl Script quadrature Software source code Walter Gautschi Archives Walter Gautschi Selected Works
10.4231/R7862DD9
10/12/2016
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=(1-x)^-1/2}x^1/2}log(1/x) on (0,1)
Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7P26W3X
11/22/2016
Loading a text file of variable-precision recurrence coefficients into Matlab symbolic or double-precision arrays
Computer Science Jacobi weight functions Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives
10.4231/R70Z715M
04/22/2014
32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^-1/2}(1-x)^-1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,-1/2,-1/2,32)
Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R79G5JRN
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^-1/2}(1-x)^1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,-1/2,1/2,32)
Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7SF2T39
04/22/2014
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^1/2}(1-x)^-1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,-1/2,32)
Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
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