Good parameters for a class of node sets in quasi-monte carlo integration

Tom Hansen; Gary L. Mullen; Harald Niederreite

doi:10.1090/S0025-5718-1993-1182244-1

Good parameters for a class of node sets in quasi-monte carlo integration

Tom Hansen, Gary L. Mullen, Harald Niederreite

Mathematics

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11 Scopus citations

Abstract

For 2 < s < 12 we determine good parameters in a general construction of node sets for i-dimensional quasi-Monte Carlo integration recently introduced by the third author. Some of the parameters represent optimal choices in this construction and lead to improvements on node sets obtained by earlier techniques.

Original language	English (US)
Pages (from-to)	225-234
Number of pages	10
Journal	Mathematics of Computation
Volume	61
Issue number	203
DOIs	https://doi.org/10.1090/S0025-5718-1993-1182244-1
State	Published - Jul 1993

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-1993-1182244-1

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title = "Good parameters for a class of node sets in quasi-monte carlo integration",

abstract = "For 2 < s < 12 we determine good parameters in a general construction of node sets for i-dimensional quasi-Monte Carlo integration recently introduced by the third author. Some of the parameters represent optimal choices in this construction and lead to improvements on node sets obtained by earlier techniques.",

author = "Tom Hansen and Mullen, {Gary L.} and Harald Niederreite",

year = "1993",

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T1 - Good parameters for a class of node sets in quasi-monte carlo integration

AU - Hansen, Tom

AU - Mullen, Gary L.

AU - Niederreite, Harald

PY - 1993/7

Y1 - 1993/7

N2 - For 2 < s < 12 we determine good parameters in a general construction of node sets for i-dimensional quasi-Monte Carlo integration recently introduced by the third author. Some of the parameters represent optimal choices in this construction and lead to improvements on node sets obtained by earlier techniques.

AB - For 2 < s < 12 we determine good parameters in a general construction of node sets for i-dimensional quasi-Monte Carlo integration recently introduced by the third author. Some of the parameters represent optimal choices in this construction and lead to improvements on node sets obtained by earlier techniques.

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U2 - 10.1090/S0025-5718-1993-1182244-1

DO - 10.1090/S0025-5718-1993-1182244-1

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VL - 61

SP - 225

EP - 234

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 203

ER -

Good parameters for a class of node sets in quasi-monte carlo integration

Abstract

All Science Journal Classification (ASJC) codes

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