All Outputs (37960)

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.

Discontinuous Galerkin Computation of the Maxwell Eigenvalues on Simplicial Meshes
Journal Article

This paper is concerned with the discontinuous Galerkin approximation of the Maxwell eigenproblem. After reviewing the theory developed in [5], we present a set of numerical experiments which both validate the theory, and provide further insight reg... Read More about Discontinuous Galerkin Computation of the Maxwell Eigenvalues on Simplicial Meshes.

A posteriori error estimation for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations
Journal Article

We develop the a posteriori error estimation of interior penalty discontinuous Galerkin discretizations for H(curl)-elliptic problems that arise in eddy current models. Computable upper and lower bounds on the error measured in terms of a natural (me... Read More about A posteriori error estimation for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations.

Symmetry-breaking in chiral polymerisation
Journal Article

We propose a model for chiral polymerisation and investigate its symmetric and asymmetric solutions. The model has a source species which decays into left- and right-handed types of monomer, each of which can polymerise to form homochiral chains;... Read More about Symmetry-breaking in chiral polymerisation.

The MATCH project: collaboration between academia and industry
Journal Article

The university sector offers innovative research initiatives which industry should be tapping. Michael Craven, Senior Research Fellow at the University of Nottingham, reports on a unique collaboration between academia and industry that is helping com... Read More about The MATCH project: collaboration between academia and industry.

Clustering through post inhibitory rebound in synaptically coupled neurons
Journal Article

Post inhibitory rebound is a nonlinear phenomenon present in a variety of nerve cells. Following a period of hyper-polarization this effect allows a neuron to fire a spike or packet of spikes before returning to rest. It is an important mechanism u... Read More about Clustering through post inhibitory rebound in synaptically coupled neurons.

Receptors, sparks and waves in a fire-diffuse-fire framework for calcium release
Journal Article

Calcium ions are an important second messenger in living cells. Indeed calcium signals in the form of waves have been the subject of much recent experimental interest. It is now well established that these waves are composed of elementary stochasti... Read More about Receptors, sparks and waves in a fire-diffuse-fire framework for calcium release.

The Becker-Döring equations with monomer input, competition and inhibition
Journal Article

We investigate the Becker-Döring model of nucleation with three generalisations; an input of monomer, an input of inhibitor and finally, we allow the monomers to form two morphologies of cluster. We assume size-independent aggregation and fragmentat... Read More about The Becker-Döring equations with monomer input, competition and inhibition.

A relative evaluation of multi-class image classification by support vector machines
Journal Article

Support vector machines (SVM) have considerable potential as classifiers of remotely sensed data. A constraint on their application in remote sensing has been their binary nature, requiring multi-class classifications to be based upon a large number... Read More about A relative evaluation of multi-class image classification by support vector machines.

Emerging Gender Regimes and Policies for Gender Equality in a Wider Europe
Journal Article

This article addresses some implications for gender equality and gender policy at European and national levels of transformations in family, economy and polity, which challenge gender regimes across Europe. Women’s labour market participation in the... Read More about Emerging Gender Regimes and Policies for Gender Equality in a Wider Europe.

Similarity solutions of a Becker-Döring system with time-dependent monomer input
Journal Article

We formulate the Becker-Döring equations for cluster growth in the presence of a time-dependent source of monomer input. In the case of size-independent aggregation and ragmentation rate coefficients we find similarity solutions which are approache... Read More about Similarity solutions of a Becker-Döring system with time-dependent monomer input.

The Becker-Döring equations with exponentially size-dependent rate coefficients
Journal Article

This paper is concerned with an analysis of the Becker-Döring equations which lie at the heart of a number of descriptions of non-equilibrium phase transitions and related complex dynamical processes. The Becker-Döring theory describes growth and fra... Read More about The Becker-Döring equations with exponentially size-dependent rate coefficients.

Coagulation equations with mass loss
Journal Article

We derive and solve models for coagulation with mass loss arising, for example, from industrial processes in which growing inclusions are lost from the melt by colliding with the wall of the vessel. We consider a variety of loss laws and a variety... Read More about Coagulation equations with mass loss.

Geometrical measurements in three-dimensional quantum gravity
Journal Article

A set of observables is described for the topological quantum field theory which describes quantum gravity in three space-time dimensions with positive signature and positive cosmological constant. The simplest examples measure the distances between... Read More about Geometrical measurements in three-dimensional quantum gravity.

An Artificial Immune System Based Recommender
Journal Article

The immune system is a complex biological system with a highly distributed, adaptive and self-organising nature. This paper presents an artificial immune system (AIS) that exploits some of these characteristics and is applied to the task of film reco... Read More about An Artificial Immune System Based Recommender.

On The Effects of Idiotypic Interactions for Recommendation Communities in Artificial Immune Systems
Journal Article

It has previously been shown that a recommender based on immune system idiotypic principles can outperform one based on correlation alone. This paper reports the results of work in progress, where we undertake some investigations into the nature of t... Read More about On The Effects of Idiotypic Interactions for Recommendation Communities in Artificial Immune Systems.

On the reduction theory of binary forms
Journal Article

Cremona developed a reduction theory for binary forms of degree 3 and 4 with integer coefficients, the motivation in the case of quartics being to improve 2-descent algorithms for elliptic curves over Q. In this paper we extend some of these result... Read More about On the reduction theory of binary forms.

State sum models for quantum gravity
Journal Article

This paper reviews the construction of quantum field theory on a 4-dimensional spacetime by combinatorial methods, and discusses the recent developments in the direction of a combinatorial construction of quantum gravity.