Gauss quadrature rules involving some nonclassical weight functions
Paul F. Byrd, David C. Galant, United States. National Aeronautics and Space Administration, Ames Research Center
National Aeronautics and Space Administration, 1970 - Mathematics - 36 pages
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25 significant figures algebraic approach Ames Research Center approximations associated with w(t BZERO calculated CM CM CM CM CN CM rH CM CM rH rH CN CM cn cn cn cn cn rH cn oo cn coefficients WjN Comput determination eigensystem eigenvalues eigenvector elliptic integrals equation error term Galant gamma function GAUSS QUADRATURE RULES GAUSSIAN QUADRATURE T(l gaussian rules given in reference ill-conditioned interval JM GT Krylov Math Moffett Field moments nodes and weights nodes tjN NONCLASSICAL WEIGHT FUNCTIONS Numerical Integration Numerical tables orthogonal polynomials associated PARAMETERS FOR WEIGHT Performing Organization polynomial of degree positive integer precise arithmetic quotient-difference algorithm rational function RECURRENCE RELATION PARAMETERS rH cn rH i-H rH rH rH rH rH to rH rH vO CM RULE FOR W(T tabulated to 25 three-term recurrence relation u u u u_ u_ UJ UJ weight coefficients Wj weight function w(t Zero