Datasets

subject: Matlab type: dataset

Total is 87 Results
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)

10.4231/R7PN93HS

Walter Gautschi

04/22/2014

The first 100 recurrence coefficients for the Freud weight function w(x)=exp(-x^4}) on R are obtained to 32 decimal digits from the first 200 moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec. 3 of "Variable-precision recu...

Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

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)

10.4231/R7TD9V74

Walter Gautschi

04/22/2014

The first 100 recurrence coefficients for the Freud weight function w(x)=exp(-x^8}) on R are obtained to 32 decimal digits from the first 200 moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec. 3 of "Variable-precision recu...

Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

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)

10.4231/R7X63JTM

Walter Gautschi

04/22/2014

The first 100 recurrence coefficients for the half-range Hermite weight function w(x)=exp(-x^2) on R_+} are obtained to 32 decimal digits from the first 200 moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec.3 of "Variable-...

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

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)

10.4231/R70Z715M

Walter Gautschi

04/22/2014

The first 100 recurrence coefficients for the weight function w(x)=x^-1/2}(1-x)^-1/2}log(1/x) on (0,1) are obtained to 32 decimal digits from the first 200 modified moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec.3 of "G...

Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

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)

10.4231/R79G5JRN

Walter Gautschi

04/22/2014

The first 100 recurrence coefficients for the weight function w(x)=x^-1/2}(1-x)^1/2}log(1/x) on (0,1) are obtained to 32 decimal digits from the first 200 modified moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec.3 of "Ga...

Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

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)

10.4231/R7SF2T39

Walter Gautschi

04/22/2014

The first 100 recurrence coefficients for the weight function w(x)=x^1/2}(1-x)^-1/2}log(1/x) on (0,1) are obtained to 32 decimal digits from the first 200 modified moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec.3 of "Ga...

Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

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)

10.4231/R74Q7RWJ

Walter Gautschi

04/22/2014

The first 100 recurrence coefficients for the weight function w(x)=x^1/2}(1-x)^1/2}log(1/x) on (0,1) are obtained to 32 decimal digits from the first 200 modified moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec.3 of "Gau...

Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives

OWF: Matlab programs for computing orthogonal polynomials with respect to densely oscillating and exponentially decaying weight functions

10.4231/R7NK3BZ7

Walter Gautschi

04/23/2014

Software (in Matlab) is developed for computing variable-precision recurrence coefficients for orthogonal polynomials with respect to the weight functions 1 + sin(1/t), 1 + cos(1/t), e^-1/t} on [0,1], as well as e^-1/t-t} on [0, infinity] and e^-1/t^2 - t^...

Computer Science Densely oscillating weight functions Exponentially decaying weight functions Gaussian quadrature Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives

CHA: Matlab programs for computing a challenging integral

10.4231/R7QJ7F7V

Walter Gautschi

04/23/2014

Standard numerical analysis tools, combined with elementary calculus, are deployed to evaluate a densely and wildly oscillatory integral that had been proposed as a computational problem in the''SIAM 100-Digit Challenge''. Numerical results...

Computer Science FORTRAN Gauss quadrature approximation Jacobi weight functions Mathematics Matlab Numerical Evaluation Orthogonal polynomials Oscillatory integrals Software source code Walter Gautschi Archives

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