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Easy-MODA: Simplifying standardised registration of scientific simulation workflows through MODA template guidelines powered by the Enalos Cloud Platform. [PDF]

open access: yesComput Struct Biotechnol J
Kolokathis PD   +23 more
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On Roundoff Error Growth in Elliptic Problems

ACM Transactions on Mathematical Software, 2018
Large-scale linear systems arise in finite-difference and finite-element discretizations of elliptic problems. With increasing computer performance, ever larger systems are solved using direct methods. How large can such systems be without roundoff compromising accuracy? Here we model roundoff dynamics in standard LU
Gustaf Söderlind, Ivo Babuska
exaly   +2 more sources

On the statistics of fixed-point roundoff error

IEEE Transactions on Acoustics, Speech, and Signal Processing, 1985
Roundoff error after fixed-point multiplication is commonly modeled as uniformly distributed white noise that is uncorrelated with the signal. This paper presents a statistical analysis of fixed-point roundoff error that identifies the conditions under which this model is valid, and examines the statistical behavior of roundoff error when these ...
Casper W. Barnes   +2 more
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A new iterative refinement with roundoff error analysis

Numerical Linear Algebra With Applications, 2011
AbstractIn this paper we present a novel improvement of Wilkinson's iterative refinement for the solution of linear system by using stability results of numerical solution for a dynamic system associated with the linear system. The convergence analysis is shown and roundoff error analysis is considered for this new refinement. Numerical experiments are
Zhengyu Wang
exaly   +3 more sources

On the variance of a centered random value roundoff error

Signal Processing, 2015
We derive two expressions for roundoff error variance, one for a rounded off random value with a zero mean and a given variance under uniform distribution and another for such a value under a normal. Also, an expression for truncation error variance for values under uniform distribution is obtained.
exaly   +2 more sources

Impact of roundoff errors in LDPC decoding

2008 3rd International Symposium on Wireless Pervasive Computing, 2008
In this paper the impact of roundoff mechanisms on the performance of message-passing LDPC decoding is studied. It is shown that finite word length introduces error by means of two mechanisms, each of which is analyzed. The impact and behavior of the two mechanisms are clarified by experimental results.
Nikos Kanistras, Vassilis Paliouras
openaire   +1 more source

Algorithms for roundoff error analysis —A relative error approach

Computing, 1980
Methods are presented for performing various error analyses of numerical algorithms. These analyses include forward, backward, and B-analysis (a combination of forward and backward). These analyses additionally provide alternative criteria by which different algorithms that solve the same problem may be compared.
John L. Larson, Ahmed H. Sameh
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Quantization and Roundoff Errors

1989
A one-dimensional (1-D) digital filter, as noted in Section 1.3, is generally defined by $${y_n} = \sum\limits_{i = 0}^M {{a_i}{u_{n - i}}} - \sum\limits_{i = 1}^N {{b_i}{y_{n - i}}} $$ (5.1) where {u n } is the input sequence, {y n } is the output sequence, and a i , and b i are some constants.
Robert King   +4 more
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On fixed-point roundoff error analysis

IEEE Transactions on Acoustics, Speech, and Signal Processing, 1989
The author points out the existence of work published by the author (US Dept. of Commerce, Tech. Rep. AD-A086826, 57 pp., Apr. 1980) prior to the appearance of the paper by Barnes et al. (ibid., vol.ASSP-33, p.595-606, June 1985) covering the same subject. >
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