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What affects the accuracy of quasi-Monte Carlo quadrature? (English) Zbl 0941.65025

Niederreiter, Harald (ed.) et al., Monte Carlo and quasi-Monte Carlo methods 1998. Proceedings of a conference held at the Claremont Graduate Univ., Claremont, CA, USA, June 22-26, 1998. Berlin: Springer. 16-55 (2000).
Summary: Quasi-Monte Carlo quadrature methods have been used for several decades. Their accuracy ranges from excellent to poor, depending on the problem. This article discusses how quasi-Monte Carlo quadrature error can be assessed, and what are the factors that influence it.
For the entire collection see [Zbl 0924.00041].

MSC:

65D32 Numerical quadrature and cubature formulas
65C05 Monte Carlo methods
11K45 Pseudo-random numbers; Monte Carlo methods