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Applications of number theory to numerical analysis. (English) Zbl 0538.65010

This paper gives an illustration of how the theory of uniform distribution may be used in the problem of numerical integration in multi-dimensional space. In particular, attention is paid to the order of convergence which can be obtained by choosing the numerical integration points in a judicious way.
Reviewer: H.J.J.te Riele

MSC:

65D32 Numerical quadrature and cubature formulas
41A55 Approximate quadratures
11J99 Diophantine approximation, transcendental number theory
41A63 Multidimensional problems
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