All Outputs (37677)

Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes
Journal Article

In this paper we consider the a posteriori and a priori error analysis of discontinuous Galerkin interior penalty methods for second-order partial differential equations with nonnegative characteristic form on anisotropically refined computational me... Read More about Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes.

Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis
Journal Article

We consider the a priori error analysis of hp-version interior penalty discontinuous Galerkin methods for second-order partial differential equations with nonnegative characteristic form under weak assumptions on the mesh design and the local finite... Read More about Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis.

Modal Control of Vibration in Rotating Machines and Other Generally Damped Systems
Journal Article

Second order matrix equations arise in the description of real dynamical systems. Traditional modal control approaches utilise the eigenvectors of the undamped system to diagonalise the system matrices. A regrettable consequence of this approach is t... Read More about Modal Control of Vibration in Rotating Machines and Other Generally Damped Systems.

A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems
Journal Article

We develop the a-posteriori error analysis of hp-version interior-penalty discontinuous Galerkin finite element methods for a class of second-order quasilinear elliptic partial differential equations. Computable upper and lower bounds on the error ar... Read More about A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems.

A Component Based Heuristic Search Method with AdaptivePerturbations for Hospital Personnel Scheduling
Journal Article

Nurse rostering is a complex scheduling problem that affects hospital personnel on a daily basis all over the world. This paper presents a new component-based approach with adaptive perturbations, for a nurse scheduling problem arising at a major UK... Read More about A Component Based Heuristic Search Method with AdaptivePerturbations for Hospital Personnel Scheduling.

DNA charge neutralisation by linear polymers I: irreversible binding
Journal Article

We develop a deterministic mathematical model to describe the way in which polymers bind to DNA by considering the dynamics of the gap distribution that forms when polymers bind to a DNA plasmid. In so doing, we generalise existing theory to accou... Read More about DNA charge neutralisation by linear polymers I: irreversible binding.

DNA charge neutralisation by linear polymers II: reversible binding
Journal Article

We model the way in which polymers bind to DNA and neutralise its charged backbone by analysing the dynamics of the distribution of gaps along the DNA. We generalise existing theory for irreversible binding to construct new deterministic models... Read More about DNA charge neutralisation by linear polymers II: reversible binding.

Ethnicity, Social Capital and the Internet
Journal Article

This article explores web sites developed to express the interests and experiences of young Chinese people in Britain. Drawing on content analysis of site discussions and dialogues with site users, we argue these new communicative practices are best... Read More about Ethnicity, Social Capital and the Internet.

New ethnicities online: reflexive racialisation and the internet
Journal Article

In this article we analyse the emergence of Internet activity addressing the experiences of young people in two British communities: South Asian and Chinese.We focus on two web sites: www.barficulture.com and www.britishbornchinese.org.uk, drawing on... Read More about New ethnicities online: reflexive racialisation and the internet.

Future Selves: Career choices of young disabled people
Journal Article

There is growing recognition that gaining the views of young people is crucial for understanding issues that affect their lives. However, to date, very little is known about the way in which disabled children, make sense of their identities, and crea... Read More about Future Selves: Career choices of young disabled people.

Safety and complexity: the inter-departmental threats to patient safety in the operating department
Journal Article

Purpose: Current thinking about ‘patient safety’ emphasises the causal relationship between the work environment and the delivery of clinical care. This research draws on the theory of Normal Accidents to extend this analysis and better understand th... Read More about Safety and complexity: the inter-departmental threats to patient safety in the operating department.

An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach
Journal Article

We summarise the properties and the fundamental mathematical results associated with basic models which describe coagulation and fragmentation processes in a deterministic manner and in which cluster size is a discrete quantity (an integer multip... Read More about An introduction to mathematical models of coagulation-fragmentation processes: a discrete deterministic mean-field approach.

Exact solutions for cluster-growth kinetics with evolving size and shape profiles
Journal Article

In this paper we construct a model for the simultaneous compaction by which clusters are restructured, and growth of clusters by pairwise coagulation. The model has the form of a multicomponent aggregation problem in which the components are clu... Read More about Exact solutions for cluster-growth kinetics with evolving size and shape profiles.

Lord Home and Anglo–American relations, 1961–1963
Journal Article

This article focuses on the role of Lord Home, the British Foreign Secretary, in the conduct of Anglo–American relations between 1961 and 1963. It studies three controversial policy areas: the newly independent states of Laos and the Congo, along wit... Read More about Lord Home and Anglo–American relations, 1961–1963.

The importance of different timings of excitatory and inhibitory pathways in neural field models
Journal Article

In this paper we consider a neural field model comprised of two distinct populations of neurons, excitatory and inhibitory, for which both the velocities of action potential propagation and the time courses of synaptic processing are different. Using... Read More about The importance of different timings of excitatory and inhibitory pathways in neural field models.

Dendritic cable with active spines: a modeling study in the spike-diffuse-spike framework
Journal Article

The spike-diffuse-spike (SDS) model describes a passive dendritic tree with active dendritic spines. Spine-head dynamics is modelled with a simple integrate-and-fire process, whilst communication between spines is mediated by the cable equation. Her... Read More about Dendritic cable with active spines: a modeling study in the spike-diffuse-spike framework.

Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation
Journal Article

In this article we consider the development of discontinuous Galerkin finite element methods for the numerical approximation of the compressible Navier-Stokes equations. For the discretization of the leading order terms, we propose employing the gene... Read More about Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation.

Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal--Oriented A Posteriori Error Estimation
Journal Article

In this article we consider the application of the generalization of the symmetric version of the interior penalty discontinuous Galerkin finite element method to the numerical approximation of the compressible Navier--Stokes equations. In particular... Read More about Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal--Oriented A Posteriori Error Estimation.

Waves, bumps, and patterns in neural field theories
Journal Article

Neural field models of firing rate activity have had a major impact in helping to develop an understanding of the dynamics seen in brain slice preparations. These models typically take the form of integro-differential equations. Their non-local nat... Read More about Waves, bumps, and patterns in neural field theories.

Enhancing SPH using moving least-squares and radial basis functions
Journal Article

In this paper we consider two sources of enhancement for the meshfree Lagrangian particle method smoothed particle hydrodynamics (SPH) by improving the accuracy of the particle approximation. Namely, we will consider shape functions constructed using... Read More about Enhancing SPH using moving least-squares and radial basis functions.