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The art of computer programming. Vol.2: Seminumerical algorithms

Donald E. Knuth
- 01 Jan 1981 - 
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This article is published in Literacy.The article was published on 1981-01-01 and is currently open access. It has received 2636 citations till now. The article focuses on the topics: Computer programming.

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Numerical reproducibility for the parallel reduction on multi- and many-core architectures

TL;DR: It is shown that numerical reproducibility and bit-perfect accuracy can be achieved at no additional cost for large sums that have dynamic ranges of up to 90 orders of magnitude by leveraging arithmetic units that are left underused by standard reduction algorithms.
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Discreteness Effects in ΛCDM Simulations: A Wavelet-Statistical View

TL;DR: In this paper, the effects of particle discreteness in N-body LambdaCDM simulations are explored, taking into account the scatter caused by the randomness of the initial conditions and focusing on the statistical properties of the cosmological density field.
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Access control in user hierarchy based on elliptic curve cryptosystem

TL;DR: This work proposes a novel key management method based on elliptic curve cryptosystem and one-way hash function to solve dynamic access problems in a user hierarchy and its performance in terms of both security and efficiency is quite commendable.
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Generalized radix representations and dynamical systems II

TL;DR: In this article, a family of dynamical systems which are related to generalized radix representations are studied and the properties of these systems lead to new results on the characterization of bases of Pisot number systems as well as canonical number systems.