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Quasi-monte carlo methods for numerical integration of multivariate Haar series

โœ Scribed by Karl Entacher

Book ID
110543743
Publisher
Springer Netherlands
Year
1997
Tongue
English
Weight
697 KB
Volume
37
Category
Article
ISSN
0006-3835

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## In [l], a method for the numerical integration of multivariate Walsh series, based on low-discrepancy point sets, was developed. In the present paper, we improve and generalize error estimates given in [l] and disprove a conjecture stated in [1,2]. Keywords-Numerical integration, Walsh series,

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Functions which can be represented by rapidly converging Walsh-series play an important role in the theory of signal-processing and image-processing. A special Quasi-Monte Carlo method for the numerical integration of such functions in high dimensions is developed in the present paper. The method is