References - ACORN random numbers

This is a list of Roy Wikramaratna's publications and citations in other publications, and other information - some of these publications can be downloaded from this page.

TBD : links and pdf downloads [2] publications citing ACORN [3] links to information regarding random numbers.


Publications and presentations by Roy

R.S. Wikramaratna, ACORN - A new method for generating sequences of uniformly distributed pseudo-random numbers, J. Comput. Phys. 83 (1989) 16 – 31

requires payment or subscription for download at Science Direct (click - new browser window)

R.S. Wikramaratna, Theoretical Analysis of the ACORN Random Number Generator, Paper presented at the SIAM Conference on Applied Probability in Science and Engineering, New Orleans, Louisiana, 5-7 March 1990

No published proceedings, but see below for write-up of the paper

R.S. Wikramaratna, Theoretical Analysis of the ACORN Random Number Generator, Write-up of paper presented at the SIAM Conference on Applied Probability in Science and Engineering, New Orleans, Louisiana, 5-7 March 1990. Report PRTD(90)R62, Winfrith Petroleum Technology, Winfrith, Dorset, UK, 1990

available for download (click)

R. S. Wikramaratna, ACORN random number generator user documentation, October 1990

available for download (click)

R.S. Wikramaratna, Theoretical background for the ACORN random number generator, Report AEA-APS-0244, AEA Technology, Winfrith, Dorset, UK, 1992

available for download (click)

R.S. Wikramaratna, Pseudo-random number generation for parallel processing - a splitting approach, SIAM News 33 (9) (2000)

available free of charge for download from Science Direct (click - new browser window)

R.S. Wikramaratna, Generating Pseudo-Random Numbers for use in Parallel Monte-Carlo Applications with Arbitrary Numbers of processors), Ninth International Colloquium on Numerical Analysis and Computer Sciences with Applications, Plovdiv, Bulgaria, 12-17 August 2000

(No published proceedings).

R.S. Wikramaratna, The additive congruential random number generator – A special case of a multiple recursive generator, J. Comput. Appl. Math. 261 (2008) 371 – 387. doi:10.1016/j.cam.2007.05.018

available free of charge for download from Science Direct (click - new browser window)

R.S. Wikramaratna, Specification, Implementation and Numerical Analysis of a k-Distributed Uniform Pseudo-random Number Generator (ACORN), Applied Mathematics and Numerical Analysis Seminar, Reading University, 22 February 2008

available for download (click)

R.S. Wikramaratna, Uniform Pseudo-random Number Generation in k Dimensions using the ACORN Algorithm, Seminar at OCCAM, University of Oxford, 20 April 2009

available for download (click)

R.S.Wikramaratna, The centro-invertible matrix: A new type of matrix arising in pseudo-random number generation, Linear Algebra and its Applications, 434 (2011) 144–151

available free of charge for download from Science Direct (click - new browser window)
NB: article contains a minor typo subsequently corrected in Corrigendum, 2012 (click)

R.S. Wikramaratna, Centro-Invertible Matrices, Reading University (Conference in honour of Nancy Nichols' 70th birthday, 2-3 July 2012)

http://www.reading.ac.uk/web/files/maths/RSW_ReadingUniversity_NNicholsConference_July2012_v2_Wikr.pdf

R.S. Wikramaratna, Theoretical and empirical convergence results for additive congruential random number generators, Journal of Computational and Applied Mathematics (2010), doi:10.1016/j.cam.2009.10.015

available free of charge for download from Science Direct (click - new browser window)

R.S. Wikramaratna, Statistical Testing of Additive Congruential Random Number (ACORN) Generators, Poster presentation at Royal Society Conference: Numerical algorithms for high-performance computational science, 8-9 April 2019

poster is available for download (click)

R.S. Wikramaratna, The Additive Congruential Random Number (ACORN) Generator - pseudo-random sequences that are well distributed in k-dimensions ...

abstract is available for download (click)
see also  https://www.maths.ox.ac.uk/node/32538

... presentation at an Internal Seminar of the Numerical Analysis Group at the Mathematical Institute, University of Oxford, 11 June 2019

slides are available for download (click)


TBD ~~~~~ Citations of Roy's published works

 


TBCompleted ~~~~~ Various interesting and relevant links regarding random numbers

general information on PRNGs [link to Wikipedia, in a new window].

a list of random number generators [Wikipedia; new window].



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created 2019-01-31 / updated 2019-03-31