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.
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)
R.S. Wikramaratna, Periodicity of ACORN Sequences with Arbitrary Order and Modulus, REAMC Report-001(2020)
R.S. Wikramaratna, Statistical Performance of Additive Congruential Random Number Generators - Part 1 - Results of Testing Some Specific Seed Values, REAMC Report-002(2020)
R.S. Wikramaratna, Statistical Performance of Additive Congruential Random Number Generators - Part 2 - Conjectures Concerning Seed Values Chosen Uniformly at Random, REAMC Report-003(2021)
abstracts and reports are available from https://www.reamc-limited.com/publications
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created 2019-01-31 / last updated 2021-06-03