Guidelines for conducting heat straightening repair have been developed by FHWA and many DOTS. The guidelines establish limits for: (a) the maximum damage that can be repaired, (b) the maximum restraining force, and %(c%) the maximum heating temperature to...
This dataset includes symbolic variable-precision 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
Agricultural advisors in four Midwestern states (Indiana, Iowa, Michigan, and Nebraska) were surveyed (via email) in February 2013 about their climate risk perceptions, climate change beliefs, and willingness to use climate information. This survey was a f...
The use of Gaussian quadrature formulae is explored for the computation of the Macdonald function (modified Bessel function) of complex orders and positive arguments. It is shown that for arguments larger than one, Gaussian quadrature applied to the integr...
complex order Computer Science FORTRAN Gauss quadrature approximation Macdonald function Mathematics Matlab software modified Bessel function Quadrature and cubature formulas Software source code Walter Gautschi Archives
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^...
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
Bernstein’s inequality for Jacobi polynomials with parameters alpha, beta is analyzed here analytically and, above all, computationally with regard to validity and sharpness. Computation suggests that the inequality holds with new, somewhat larger, constan...
Inequalities for the largest zero of Jacobi polynomials, conjectured recently by us and in joint work with P. Leopardi, are here extended to all zeros of Jacobi polynomials, and new relevant conjectures are formulated based on extensive computation.
By means of the Matlab symbolic/variable-precision facilities, routines are developed that generate an arbitrary number of recurrence coefficients to any given precision for polynomials orthogonal with respect to weight functions of Laguerre and Jacobi typ...
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
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