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A Game Theoretic Optimization Framework for Home Demand Management Incorporating Local Energy Resources (2015)
Journal Article
Fan. (2015). A Game Theoretic Optimization Framework for Home Demand Management Incorporating Local Energy Resources. IEEE Transactions on Industrial Informatics, 353 - 362. https://doi.org/10.1109/TII.2015.2390035

Facilitated by advanced ICT infrastructure and optimization techniques, smart grid has the potential to bring significant benefits to the energy consumption management. This paper presents a game theoretic consumption scheduling framework based on th... Read More about A Game Theoretic Optimization Framework for Home Demand Management Incorporating Local Energy Resources.

Anti-plane shear waves in a fibre-reinforced composite with a non-linear imperfect interface (2015)
Journal Article
Danishevs׳kyy, V. V., Kaplunov, J. D., & Rogerson, G. A. (2015). Anti-plane shear waves in a fibre-reinforced composite with a non-linear imperfect interface. International Journal of Non-Linear Mechanics, 76, 223 -232. https://doi.org/10.1016/j.ijnonlinmec.2014.12.009

The propagation of non-linear elastic anti-plane shear waves in a unidirectional fibre-reinforced composite material is studied. A model of structural non-linearity is considered, for which the non-linear behaviour of the composite solid is caused by... Read More about Anti-plane shear waves in a fibre-reinforced composite with a non-linear imperfect interface.

The edge wave on an elastically supported Kirchhoff plate (2014)
Journal Article
Kaplunov, J., Prikazchikov, D. A., Rogerson, G. A., & Lashab, M. I. (2014). The edge wave on an elastically supported Kirchhoff plate. Journal of the Acoustical Society of America, 136(4), 1487 - 1490. https://doi.org/10.1121/1.4894795

This Letter deals with an analysis of bending edge waves propagating along the free edge of a Kirchhoff plate supported by a Winkler foundation. The presence of a foundation leads to a non-zero cut-off frequency for this wave, along with a local mini... Read More about The edge wave on an elastically supported Kirchhoff plate.

Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media (2014)
Journal Article
Kaplunov. (2014). Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media. Wave Motion, 581 - 588. https://doi.org/10.1016/j.wavemoti.2013.09.007

This article explores the deep connections that exist between the mathematical representations of dynamic phenomena in functionally graded waveguides and those in periodic media. These connections are at their most obvious for low-frequency and long-... Read More about Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media.

Stability of pear-shaped configurations bifurcated from a pressurized spherical balloon (2014)
Journal Article
Fu, Y., & Xie, Y. (2014). Stability of pear-shaped configurations bifurcated from a pressurized spherical balloon. Journal of the Mechanics and Physics of Solids, 33 - 44. https://doi.org/10.1016/j.jmps.2014.03.007

It is well-known that for most spherical rubber balloons the pressure versus volume curve associated with uniform inflation is N-shaped (the pressure increases rapidly to a maximum, falls to a minimum, and subsequently increases monotonically), and t... Read More about Stability of pear-shaped configurations bifurcated from a pressurized spherical balloon.

Stability of an inflated hyperelastic membrane tube with localized wall thinning (2014)
Journal Article
Il'ichev, A., & Fu, Y. (2014). Stability of an inflated hyperelastic membrane tube with localized wall thinning. International Journal of Engineering Science, 53 - 61. https://doi.org/10.1016/j.ijengsci.2014.02.031

It is now well-known that when an infinitely long hyperelastic membrane tube free from any imperfections is inflated, a transcritical-type bifurcation may take place that corresponds to the sudden formation of a localized bulge. When the membrane tub... Read More about Stability of an inflated hyperelastic membrane tube with localized wall thinning.

Green's Kernels and Meso-Scale Approximations in Perforated Domains (2013)
Book
Maz'ya, V., Movchan, A., & Nieves, M. (2013). Green's Kernels and Meso-Scale Approximations in Perforated Domains. (1). Springer

This book addresses the needs of mathematicians, physicists and engineers, as well as research students interested in asymptotic analysis and numerical computations for solutions to partial differential equations.

Rayleigh waves of arbitrary profile in anisotropic media (2013)
Journal Article
Prikazchikov, D. (2013). Rayleigh waves of arbitrary profile in anisotropic media. Mechanics Research Communications, 50, 83 -86. https://doi.org/10.1016/j.mechrescom.2013.03.009

The paper deals with surface wave propagation in an orthorhombic elastic half-plane. The general profile of the wave is considered, incorporating the anisotropy effects within the known representation in terms of a single plane harmonic function.

A Bayesian interpretation of the particle swarm optimization and its kernel extension. (2012)
Journal Article
(2012). A Bayesian interpretation of the particle swarm optimization and its kernel extension. PloS one, e48710 - ?. https://doi.org/10.1371/journal.pone.0048710

Particle swarm optimization is a popular method for solving difficult optimization problems. There have been attempts to formulate the method in formal probabilistic or stochastic terms (e.g. bare bones particle swarm) with the aim to achieve more ge... Read More about A Bayesian interpretation of the particle swarm optimization and its kernel extension..

Towards a generalisation of Noether's theorem to nonclassical Hopf-Galois structures (2011)
Journal Article
Truman. (2011). Towards a generalisation of Noether's theorem to nonclassical Hopf-Galois structures

We study the nonclassical Hopf-Galois module structure of rings of algebraic integers in some extensions of p-adic fields and number fields which are at most tamely ramified. We show that if L/K is an unramified extension of p-adic fields which is H-... Read More about Towards a generalisation of Noether's theorem to nonclassical Hopf-Galois structures.

On a class of three-phase checkerboards with unusual effective properties (2011)
Journal Article
(2011). On a class of three-phase checkerboards with unusual effective properties. Comptes Rendus Mécanique, 411-417. https://doi.org/10.1016/j.crme.2011.03.016

We examine the band spectrum, and associated Floquet-Bloch eigensolutions, arising in a class of three-phase periodic checkerboards. On a periodic cell $[-1,1[^2$, the refractive index is defined by $n^2= 1+ g_1(x_1)+g_2(x_2)$ with $g_i(x_i)= r^2\qua... Read More about On a class of three-phase checkerboards with unusual effective properties.

ON THE UNDECIDABILITY OF THE IDENTITY CORRESPONDENCE PROBLEM AND ITS APPLICATIONS FOR WORD AND MATRIX SEMIGROUPS (2010)
Journal Article
Bell, P. (2010). ON THE UNDECIDABILITY OF THE IDENTITY CORRESPONDENCE PROBLEM AND ITS APPLICATIONS FOR WORD AND MATRIX SEMIGROUPS. International Journal of Foundations of Computer Science, 963 - 978. https://doi.org/10.1142/S0129054110007660

In this paper we study several closely related fundamental problems for words and matrices. First, we introduce the Identity Correspondence Problem (ICP): whether a finite set of pairs of words (over a group alphabet) can generate an identity pair by... Read More about ON THE UNDECIDABILITY OF THE IDENTITY CORRESPONDENCE PROBLEM AND ITS APPLICATIONS FOR WORD AND MATRIX SEMIGROUPS.

The continuous Skolem-Pisot problem (2010)
Journal Article
Bell, P. (2010). The continuous Skolem-Pisot problem. Theoretical Computer Science, 3625 - 3634. https://doi.org/10.1016/j.tcs.2010.06.005

We study decidability and complexity questions related to a continuous analogue of the Skolem-Pisot problem concerning the zeros and nonnegativity of a linear recurrent sequence. In particular, we show that the continuous version of the nonnegativity... Read More about The continuous Skolem-Pisot problem.

Reachability problems in quaternion matrix and rotation semigroups (2008)
Journal Article
Bell, P. (2008). Reachability problems in quaternion matrix and rotation semigroups. Information and Computation, 1353 - 1361. https://doi.org/10.1016/j.ic.2008.06.004

We examine computational problems on quaternion matrix and rotation semigroups. It is shown that in the ultimate case of quaternion matrices, in which multiplication is still associative, most of the decision problems for matrix semigroups are undeci... Read More about Reachability problems in quaternion matrix and rotation semigroups.

On undecidability bounds for matrix decision problems (2008)
Journal Article
Bell, P. (2008). On undecidability bounds for matrix decision problems. Theoretical Computer Science, 3 - 13. https://doi.org/10.1016/j.tcs.2007.10.025

In this paper we consider several reachability problems such as vector reachability, membership in matrix semigroups and reachability problems in piecewise linear maps. Since all of these questions are undecidable in general, we work on lowering the... Read More about On undecidability bounds for matrix decision problems.

Environmental adversity and uncertainty favour cooperation. (2007)
Journal Article
(2007). Environmental adversity and uncertainty favour cooperation. BMC Evolutionary Biology, 240 - ?. https://doi.org/10.1186/1471-2148-7-240

BACKGROUND: A major cornerstone of evolutionary biology theory is the explanation of the emergence of cooperation in communities of selfish individuals. There is an unexplained tendency in the plant and animal world - with examples from alpine plants... Read More about Environmental adversity and uncertainty favour cooperation..