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Mathematics of Computation

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On the numerical integration of Walsh series by number-theoretic methods


Authors: Gerhard Larcher and Claudia Traunfellner
Journal: Math. Comp. 63 (1994), 277-291
MSC: Primary 65D30; Secondary 11K45
MathSciNet review: 1234426
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Abstract: In analogy to the theory of good lattice points for the numerical integration of rapidly converging Fourier series, a theory for the fast numerical integration of Walsh series is developed. The basis for this theory is provided by a class of very well-distributed point sets in the s-dimensional unit cube, the so-called (t, m, s)-nets.


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DOI: http://dx.doi.org/10.1090/S0025-5718-1994-1234426-9
Article copyright: © Copyright 1994 American Mathematical Society