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

PAGAN

Subdivision Methods for Adaptive Integration over Hyperspheres,An adaptive algorithm for numerical multiple integration over an n-dimensional hypersphere is considered. Two subdivision methods are analyzed and formulas are derived that permit the efficient application of the associated subregion transformations.

Fraudulent

,Formules de quadrature dans R2 avec ”réseau” minimal de droites,We will consider the problem of approximating a double integral on a convex compact set . as a minimal linear combination of integrals on the real line. We obtain Cubature formulae, which are exact on the space ..(.) of all polynomials of degree 2. + 1 respectively to each variable .., . = 1, 2.

按等级

Construction of fully symmetrical cubature rules of very high degree for the square,A new method for the construction of fully symmetrical cubature formulae for the square is proposed. Even for high degrees the formulae are surprisingly easy to compute: the hardest computation to perform is the solution of a system of two polynomial equations of relatively low degree in two unknowns.

大火

Intermediate Error Estimates for Quadrature Formulas,Let . be the error of a quadrature formula which is exact for polynomials of degree less .. We consider the constants .. in the estimate |.[.]|≤..‖..‖. with the aim to obtain estimates for ..,...,.. in terms of .. and .. or related expressions.

anchor

Expostulate

Multivariate Boolean Midpoint Rules,with lattice rules of multivariate numerical integration (Sloan 1985, 1987). In this paper we will construct Boolean midpoint rules for multivariate numerical integration of arbitrary dimensions which are based on the ideas of multivariate Boolean interpolation and which extend results of Delvos (1990).

ATP861

A relation between cubature formulae of trigonometric degree and lattice rules,ndition for the weights, we show that such formulae can be approached with the tools used to construct cubature formulae of algebraic degree. We also approach them from the field of lattice rules. A new family of cubature formulae of trigonometric degree with the lowest possible number of points is presented.

诱拐

误传

Anecdote