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A simple universal algorithm for high-dimensional integration

delete2025-12-01
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OA
AI
T
Takashi Goda
D
David Krieg *
DOI:10.1007/s00211-025-01517-zdelete
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摘要

摘要

En 中文
We present a simple universal algorithm for high-dimensional integration which has the optimal error rate (independent of the dimension) in all weighted Korobov classes both in the randomized and the deterministic setting. Our theoretical findings are complemented by numerical tests.
Keyword:
BY-COMPONENT CONSTRUCTION
LATTICE RULES
WEIGHTED KOROBOV
SPACES
CONVERGENCE
SMOOTHNESS
ACHIEVE
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期刊

N
Numerische Mathematik
IF:
2.2
论文数:
60
被引数:
7.8K

机构

U
university of passau
学者数:
23
论文数: 16
被引数: 0
U
university of tokyo
学者数:
6.4K
论文数: 2.5K
被引数: 1
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