MIME
发表于 2025-3-26 21:15:12
Some Problems involving Orthogonal Polynomials,nger (1966) for the error in the associated Gaussian quadrature formula. In the later part, we consider the Rodrigue’s function U. associated with the polynomial p. in the orthogonal sequence over (-1,1) with respect to w. Some properties of U. are proved, and a number of conjectures, with some supp
SYN
发表于 2025-3-27 02:53:58
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SHOCK
发表于 2025-3-27 07:05:46
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xanthelasma
发表于 2025-3-27 09:39:05
Quadrature rules derived from linear convergence accelerations schemes,s exponentially. If we also require the integrand to be analytic on a strip along the real axis, the trapezoidal approximation can be shown to be very accurate, provided some simple regularity assumptions are satisfied.
高贵领导
发表于 2025-3-27 16:41:44
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勾引
发表于 2025-3-27 17:53:57
The Canonical Forms of a Lattice Rule,o an algorithm to obtain a canonical form of a rule of prime power order. The number of possible distinct canonical forms is derived, and this is used to determine the number of integration lattices having specified invariants.
去掉
发表于 2025-3-28 00:32:55
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doxazosin
发表于 2025-3-28 04:41:11
Integrating Singularities using Non-uniform Subdivision and Extrapolation,ion strategy used in many adaptive algorithms. The strategy can be applied to vertex singularities, line singularities and more general subregion singularities. The technique turns out to have good numerical stability properties.
铁砧
发表于 2025-3-28 07:28:19
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命令变成大炮
发表于 2025-3-28 12:13:33
A new lower bound for the number of nodes in cubature formulae of degree 4 n + 1 for some circularlFor two classes of integrals it will be shown that the number of nodes of cubature formulae of degree 4. + 1, . > 1, will not attain Möller’s lower bound. Thus in these cases that bound has to be increased by 1.