Remarks on randomization of quasi-random numbers
2018 ◽
Vol 24
(2)
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pp. 139-145
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Abstract In this paper we discuss estimation of the quasi-Monte Carlo methods error in the case of calculation of high-order integrals. Quasi-random Halton sequences are considered as a special case. Randomization of these sequences by the random shift method turns out to lead to well-known random quadrature formulas with one free node. Some new properties of such formulas are pointed out. The subject is illustrated by a number of numerical examples.
2016 ◽
Vol 48
(A)
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pp. 203-215
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2003 ◽
Vol 06
(04)
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pp. 327-353
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Keyword(s):
1993 ◽
Vol 04
(02)
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pp. 323-330
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Keyword(s):
1978 ◽
Vol 84
(6)
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pp. 957-1042
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Keyword(s):
Keyword(s):