Abstract

Boolean methods of interpolation have been applied to the construction of bivariate and trivariate numerical integration formulas3,4. These formulas are comparable with lattice rules of multivariate numerical integration5,6. In this paper we will construct Boolean trapezoidal rules for multivariate numerical integration in arbitrary dimensions which are based on the ideas of multivariate Boolean interpolation2 and which extend bi- and trivariate results3’4. A detailed error investigation is presented using Boolean remainder formulas1.

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