Titlebook: Numerical Integration IV; Proceedings of the C H. Brass,G. H?mmerlin Conference proceedings 1993 Springer Basel AG 1993 integration.Mathema

MIME

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

SHOCK

xanthelasma

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.

高貴領(lǐng)導

勾引

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

doxazosin

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.

鐵砧

命令變成大炮

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 M?ller’s lower bound. Thus in these cases that bound has to be increased by 1.