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Iterative solutions to classical second-order ordinary differential equations

Journal Article
Robin, W. (2019)
Iterative solutions to classical second-order ordinary differential equations. Journal of Innovative Technology and Education, 6(1), 1-12
An elementary scheme is detailed for introducing certain basic concepts in the solution of (especially) the basic second-order ordinary differential equations of classical mat...

BayesPiles: Visualisation Support for Bayesian Network Structure Learning

Journal Article
Vogogias, A., Kennedy, J., Archambault, D., Bach, B., Smith, V. A., & Currant, H. (2018)
BayesPiles: Visualisation Support for Bayesian Network Structure Learning. ACM transactions on intelligent systems and technology, 10(1), 1-23. https://doi.org/10.1145/3230623
We address the problem of exploring, combining and comparing large collections of scored, directed networks for understanding inferred Bayesian networks used in biology. In th...

Exploring the relationship between metacognitive and collaborative talk during group mathematical problem-solving – what do we mean by collaborative metacognition?

Journal Article
Smith, J. M., & Mancy, R. (2018)
Exploring the relationship between metacognitive and collaborative talk during group mathematical problem-solving – what do we mean by collaborative metacognition?. Research in Mathematics Education, 1-23. https://doi.org/10.1080/14794802.2017.1410215
The purpose of this study was to enhance our understanding of the relationship between collaborative talk and metacognitive talk during group mathematical problem-solving. Res...

On the comparison of initialisation strategies in differential evolution for large scale optimisation

Journal Article
Segredo, E., Paechter, B., Segura, C., & González-Vila, C. I. (2018)
On the comparison of initialisation strategies in differential evolution for large scale optimisation. Optimization Letters, 12(1), 221-234. https://doi.org/10.1007/s11590-017-1107-z
Differential Evolution (DE) has shown to be a promising global opimisation solver for continuous problems, even for those with a large dimensionality. Different previous works...

On compact uniform analytical approximations to the Blasius Velocity profile.

Journal Article
Robin, W. (2015)
On compact uniform analytical approximations to the Blasius Velocity profile. International Mathematical Forum, 10, 311-322. https://doi.org/10.12988/imf.2015.514
It is shown that approximate analytical representations of the Blasius function may be developed by using the error function, erf (ax), for positive constant a, as a basic com...

Some new uniform approximate analytical representations of the Blasius function.

Journal Article
Robin, W. (2015)
Some new uniform approximate analytical representations of the Blasius function. Global Journal of Mathematics, 2, 150-155
New uniform approximations of the Blasius velocity profile and Blasius function are developed from existing rational approximations of the Blasius velocity profile and of the ...

On the use of inclusion structure in fuzzy clustering algorithm in case of Gaussian membership functions

Journal Article
Nefti-Meziani, S., Oussalah, M., & Soufian, M. (2015)
On the use of inclusion structure in fuzzy clustering algorithm in case of Gaussian membership functions. Journal of Intelligent and Fuzzy Systems, 28(4), 1477-1493. https://doi.org/10.3233/IFS-141407
This article addresses the problem of incorporating an inclusion structure in the general class of fuzzy c-means algorithms. Conventionally, all the classes of fuzzy clusterin...

The Engineering Peer Tutors.

Presentation / Conference
Durkacz, K. (2015, June)
The Engineering Peer Tutors. Paper presented at Scottish Maths Support Network meeting, Glasgow Caledonian University

Frobenius Series Solution of Fuchs Second-Order Ordinary Differential Equations via Complex Integration

Journal Article
Robin, W. (2014)
Frobenius Series Solution of Fuchs Second-Order Ordinary Differential Equations via Complex Integration. International Mathematical Forum, 9, 953-965. https://doi.org/10.12988/imf.2014.4491
A method is presented (with standard examples) based on an elementary complex integral expression, for developing Frobenius series solutions for second-order linear homogeneou...

Ladder-Operator Factorization and the Bessel Differential Equations

Journal Article
Robin, W. (2014)
Ladder-Operator Factorization and the Bessel Differential Equations. International Mathematical Forum, 9, 71-80. https://doi.org/10.12988/imf.2014.311214
We present an alternative approach to the discussion of Bessel equations and Bessel functions, through an elementary factorization method. The various Bessel equations are rep...

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