subject: Mathematics subject: Gaussian quadrature
10.4231/R7C82765
04/24/2014
32-digit values of the first 100 recurrence coefficients relative to the Fermi-Dirac weight function w(x)=1/(e^x+1) computed by the SOPQ routine sr_fermidirac(100,1,32)
Computer Science Equation Table Fermi Dirac weight Function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7F769GC
04/22/2014
32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^10}) computed on R by the SOPQ routine sr_freud(100,0,10,32)
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7PN93HS
04/22/2014
32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^4) computed on R by the SOPQ routine sr_freud(100,0,4,32)
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7Z60KZ0
04/22/2014
32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^6) computed on R by the SOPQ routine sr_freud(100,0,6,32)
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematical Concepts Mathematics OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7TD9V74
04/22/2014
32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^8) computed on R by the SOPQ routine sr_freud(100,0,8,32)
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7X63JTM
04/22/2014
32-digit values of the first 100 recurrence coefficients relative to the half-range Hermite weight function w(x)=exp(-x^2) on R_+} computed by the SOPQ routine sr_halfrangehermite(100,32)
Computational methods Computer Science Equation Table Gaussian quadrature Hermite weight function Hilbert Transforms Integral Transforms Mathematics Matlab Numerical integrations OPQ routine Orthogonal polynomials Walter Gautschi Archives
10.4231/R7NK3BZ7
04/23/2014
Software (in Matlab) is developed for computing variable-precision recurrence coefficients for orthogonal polynomials with respect to densely oscillating and exponentially decaying weight functions
Computer Science Densely oscillating weight functions Exponentially decaying weight functions Gaussian quadrature Mathematics Matlab Orthogonal polynomials 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/R7PK0D31
04/23/2014
Matlab routines for computing numerical integration over the square
Aerodynamical drag coefficient Computer Science Gauss quadrature approximation Gaussian quadrature Mathematics Matlab Numerical integration over the square Orthogonal polynomials Quadrature and cubature formulas Software source code Walter Gautschi Archives Walter Gautschi Selected Works
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
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