A numerical study of the behaviour of a gas-liquid interface subjected to periodic vertical motion. (2002)
Journal Article
Valha, J., Lewis, J. S., & Kubie, J. (2002). A numerical study of the behaviour of a gas-liquid interface subjected to periodic vertical motion. International Journal for Numerical Methods in Fluids, 40, 697-721. https://doi.org/10.1002/fld.370

A numerical study has been undertaken to examine the behaviour of a gas liquid interface in a vertical cylindrical vessel subjected to a sinusoidal vertical motion. The computational method used is based on the simplified marker-and-cell method and i... Read More about A numerical study of the behaviour of a gas-liquid interface subjected to periodic vertical motion..

A symbolic investigation of controller design for a single inverted pendulum system. (2002)
Presentation / Conference Contribution
Woodham, C. A., & Su, H. (2002, July). A symbolic investigation of controller design for a single inverted pendulum system. Paper presented at ICCAM 2002

The two dimensional inverted pendulum is unstable in that it may fall over at any time in either direction unless a suitable control force is applied. This paper designs a controller numerically and symbolically by using Ackermann's formula of the Po... Read More about A symbolic investigation of controller design for a single inverted pendulum system..

Theoretical and measured torsional behaviour of rectangular hollow sections. (2002)
Presentation / Conference Contribution
Ridley-Ellis, D., Owen, J. S., & Davies, G. (2002, May). Theoretical and measured torsional behaviour of rectangular hollow sections. Presented at 12th Intl Offshore and Polar Engineering Conference (ISOPE), Kyushu, 2002

Theories for torsion of Rectangular Hollow Sections (RHS) are compared and thick wall theory is shown to be a better representation of behaviour. The results of torsion tests on hot-finished steel RHS are discussed and compared to the predictions of... Read More about Theoretical and measured torsional behaviour of rectangular hollow sections..

A computational investigation of pole-zero cancellation for a double inverted pendulum (2002)
Journal Article
Woodham, C. A., & Su, H. (2002). A computational investigation of pole-zero cancellation for a double inverted pendulum. Journal of Computational and Applied Mathematics, 140(1-2), 823-836. https://doi.org/10.1016/S0377-0427%2801%2900477-0

Modern symbolic computational systems which perform automated manipulation of algebraic variables offer insights into a variety of mathematical problems. This work uses the symbolic manipulation toolbox available in MATLAB to investigate pole-zero ca... Read More about A computational investigation of pole-zero cancellation for a double inverted pendulum.

Energy and structure of inertial range turbulence deduced from an evolution of fluid impulse. (2002)
Journal Article
Summers, D. M., & Summers, D. (2002). Energy and structure of inertial range turbulence deduced from an evolution of fluid impulse. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 65(3), 0363141-0363149. https://doi.org/10.1103/PhysRevE.65.036314

We explore numerically a very simple idea that may provide a material explanation for inertial range turbulence. We base a Lagrangian model of viscous incompressible fluid flow on an evolving ensemble of vortex doublet sheets. Initially these are ran... Read More about Energy and structure of inertial range turbulence deduced from an evolution of fluid impulse..

Impulse exchange at the surface of the ocean and the fractal dimension of drifter trajectories. (2002)
Journal Article
Summers, D. (2002). Impulse exchange at the surface of the ocean and the fractal dimension of drifter trajectories. Nonlinear Processes in Geophysics, 9, 11-23. https://doi.org/10.5194/npg-9-11-2002

An impulse-based model is developed to represent a coupling between turbulent flow in the atmosphere and turbulent flow in the ocean. In particular, it is argued that the atmosphere flowing horizontally over the ocean surface generates a velocity flu... Read More about Impulse exchange at the surface of the ocean and the fractal dimension of drifter trajectories..

Risk sensitivity applied to arch bridge assessments: an introduction. (2001)
Journal Article
Ng, K.-H., Fairfield, C. A., & Sibbald, A. (2001). Risk sensitivity applied to arch bridge assessments: an introduction. The structural engineer : journal of the Institution of Structural Engineers, 79, 31-37

There are approximately 75,000 masonry arch bridges in the UK, most of which were built between 1700 and 1900 and are now carrying traffic loads far beyond those envisaged by the original designers and builders. A question has to be asked as to wheth... Read More about Risk sensitivity applied to arch bridge assessments: an introduction..

On the uncontrollable damped triple Inverted pendulum. (2000)
Presentation / Conference Contribution
Woodham, C. A., & Su, H. (2000, September). On the uncontrollable damped triple Inverted pendulum. Presented at UKACC Control Conference

The balancing of an inverted pendulum is a classic control problem of some thirty years or so standing, which
has been revisited of late in the light of recent developments in symbolic computation. The controllability of the
damped double inverted... Read More about On the uncontrollable damped triple Inverted pendulum..

A Computational Investigation of Pole-Zero Cancellation for a Double Inverted Pendulum System. (2000)
Presentation / Conference Contribution
Woodham, C. A., & Su, H. (2000, July). A Computational Investigation of Pole-Zero Cancellation for a Double Inverted Pendulum System. Paper presented at ICCAM 2000

Modern symbolic computational systems which perform automated manipulation
of algebraic variables offer insights into a variety of mathematical
problems. This work uses the symbolic manipulation toolbox available in
MATLAB to investigate pole-ze... Read More about A Computational Investigation of Pole-Zero Cancellation for a Double Inverted Pendulum System..

A symbolic investigation of pole-zero cancellation for a double inverted pendulum using torque inputs. (1999)
Presentation / Conference Contribution
Woodham, C. A. (1999, June). A symbolic investigation of pole-zero cancellation for a double inverted pendulum using torque inputs. Paper presented at IEE Colloquium on "Symbolic Computation for Control"

Modern computational packages are able to perform highly complex manipulations of symbolic variables, thus offering insights into a variety of mathematical problems. The symbolic manipulation packages REDUCE and MATLAB Symbolic Toolbox are used in an... Read More about A symbolic investigation of pole-zero cancellation for a double inverted pendulum using torque inputs..

On a representation of vector continued fractions. (1999)
Journal Article
Roberts, D. E. (1999). On a representation of vector continued fractions. Journal of Computational and Applied Mathematics, 105(1-2), 453-466. https://doi.org/10.1016/S0377-0427%2899%2900034-5

Vector Pade approximants to power series with vector coefficients may be calculated using the three-term recurrence relations of vector continued fractions
if formulated in the framework of Clifford algebras. We show that the numerator and denominat... Read More about On a representation of vector continued fractions..

Exact Algebraic Pole-Zero cancellation using Symbolic Mathematical Computation. (1998)
Presentation / Conference Contribution
Larcombe, P., Woodham, C. A., & Brown, I. C. (1998, September). Exact Algebraic Pole-Zero cancellation using Symbolic Mathematical Computation. Presented at Control '98. UKACC International Conference on (Conf. Publ. No. 455)

Modern symbolic computational systems which perform automated manipulation of mathematical variables offer insights during modelling and problem solving which remain otherwise partially or wholly obscured to the analyst. The classic inverted pendulum... Read More about Exact Algebraic Pole-Zero cancellation using Symbolic Mathematical Computation..

Training and Adaption of a Neuro-Fuzzy System for Navigation in an Unknown Environment (1998)
Presentation / Conference Contribution
Nefti, S., Soufian, M., Pontnau, J., & Soufian, M. (1998, July). Training and Adaption of a Neuro-Fuzzy System for Navigation in an Unknown Environment. Presented at Recent Advances in Soft Computing

No abstract available.

The Effect of a Dynamical Layer in Neural Network Prediction of Biomass in a Fermentation Process (1998)
Presentation / Conference Contribution
Soufian, M., Soufian, M., & Dempsey, M. (1998, June). The Effect of a Dynamical Layer in Neural Network Prediction of Biomass in a Fermentation Process. Presented at The 11th international conference on Industrial and engineering applications of artificial intelligence and expert systems: methodology and tools in knowledge-based systems

In this paper, computational intelligence has been considered as a tool (software sensor) for state-estimation and prediction of biomass concentration in a simulated fermentation process. Two different paradigms of an artificial neural networks have... Read More about The Effect of a Dynamical Layer in Neural Network Prediction of Biomass in a Fermentation Process.

A vector Chebysev algorithm. (1998)
Journal Article
Roberts, D. (1998). A vector Chebysev algorithm. Numerical Algorithms, 17(1/2), 33-50. https://doi.org/10.1023/A%3A1011633327892

We consider polynomials orthogonal relative to a sequence of vectors and derive their recurrence relations within the framework of Clifford algebras. We state sufficient conditions for the existence of a system of such polynomials. The coefficients i... Read More about A vector Chebysev algorithm..

On a vector q-d algorithm. (1998)
Journal Article
Roberts, D. (1998). On a vector q-d algorithm. Advances in computational mathematics, 8(3), 193-219. https://doi.org/10.1023/A%3A1018944213562

Using the framework provided by Clifford algebras, we consider a noncommutative quotient-difference algorithm for obtaining the elements of a continued fraction corresponding to a given vector-valued power series. We
demonstrate that these elements... Read More about On a vector q-d algorithm..

Vector continued fraction algorithms. (1996)
Book Chapter
Roberts, D. E. (1996). Vector continued fraction algorithms. In R. Ablamowicz, P. Lounesto, & J. M. Parra (Eds.), Clifford algebras with numeric and symbolic computations (111-119). Birkhauser Verlag AG. https://doi.org/10.1007/978-1-4615-8157-4_7

We consider the construction of rational approximations to given power series whose coefficients are vectors. The approximants are in the form of vector-valued continued fractions which may be used to obtain vector Pade
approximants using recurrence... Read More about Vector continued fraction algorithms..

On the algebraic foundations of the vector epsilon-algorithm. (1995)
Book Chapter
Roberts, D. E. (1995). On the algebraic foundations of the vector epsilon-algorithm. In R. Ablamowicz, & P. Lounesto (Eds.), Clifford algebras and spinor structures: A special volume dedicated to the memory of Albert Crumeyrolle (1919-1992) (343-361). Kluwer Academic

We review the Clifford algebraic foundations of versions of the vector epsilon-algorithm. This involves the formation of rational approximants to vector-valued functions defined by a power series. We summarise their properties and demonstrate how a s... Read More about On the algebraic foundations of the vector epsilon-algorithm..

"AgileSim_updated.java" Program
Digital Artefact
Swain, A. (2007). "AgileSim_updated.java" Program

This document contains the 'hard' code for the Java program "AgileSim_updated.java", complete with comments. This program accompanies the article "Process Control in Agile Supply Chain Network" and was the program used to simulate the data for the il... Read More about "AgileSim_updated.java" Program.