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subject: Computer Science date: 2014

Total is 37 Results
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 ORCID logo

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

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 ORCID logo

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

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 ORCID logo

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

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

10.4231/R7NK3BZ7

Walter Gautschi ORCID logo

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

CHA: Matlab programs for computing a challenging integral

10.4231/R7QJ7F7V

Walter Gautschi ORCID logo

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

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