All Outputs (157)

Explicit-in-time goal-oriented adaptivity (2018)
Journal Article

Goal-oriented adaptivity is a powerful tool to accurately approximate physically relevant solution features for Partial Differential Equations. In time dependent problems, we seek to represent the error in the quantity of interest as an integral over... Read More about Explicit-in-time goal-oriented adaptivity.

Bayes Factors for Partially Observed Stochastic Epidemic Models (2018)
Journal Article

We consider the problem of model choice for stochastic epidemic models given partial observation of a disease outbreak through time. Our main focus is on the use of Bayes factors. Although Bayes factors have appeared in the epidemic modelling literat... Read More about Bayes Factors for Partially Observed Stochastic Epidemic Models.

A Secure Waveform Format for Interference Mitigation in Heterogeneous Uplink Networks (2018)
Journal Article

In heterogeneous networks (HetNets), providing reliable and secure transmission uplinks to combat the potential interference is a major challenge. We address the multi-tier uplink interference issue, inspired by the secure waveform design in spatial... Read More about A Secure Waveform Format for Interference Mitigation in Heterogeneous Uplink Networks.

Local asymptotic equivalence of pure states ensembles and quantum Gaussian white noise (2018)
Journal Article

Quantum technology is increasingly relying on specialised statistical inference methods for analysing quantum measurement data. This motivates the development of “quantum statistics”, a field that is shaping up at the overlap of quantum physics and “... Read More about Local asymptotic equivalence of pure states ensembles and quantum Gaussian white noise.

Noncongruence subgroups and Maass waveforms (2018)
Journal Article

The main topic of the paper is spectral theory for noncongruence subgroups of the modular group. We have studied a selection of the main conjectures in the area: the Roelcke–Selberg and Phillips–Sarnak conjectures and Selberg's conjecture on exceptio... Read More about Noncongruence subgroups and Maass waveforms.

The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: scalar and matrix cases (2018)
Journal Article

In this paper we consider the matrix nonautonomous semidiscrete (or lattice) equation D dtUn = (2n − 1)(Un+1 − Un−1)−1, as well as the scalar case thereof. This equation was recently derived in the context of auto-Bäcklund transformations for a matri... Read More about The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: scalar and matrix cases.

Extreme M-quantiles as risk measures: from L1 to Lp optimization (2018)
Journal Article

The class of quantiles lies at the heart of extreme-value theory and is one of the basic tools in risk management. The alternative family of expectiles is based on squared rather than absolute error loss minimization. It has recently been receiving a... Read More about Extreme M-quantiles as risk measures: from L1 to Lp optimization.

On modelling of laser assisted machining: forward and inverse problems for heat placement control (2018)
Journal Article

Laser assisted machining (LAM) is one of the most efficient ways to improve the machinability of difficult-to-cut materials (e.g. Nickel-based superalloys). In the conventional LAM process, the laser beam is focused ahead of the cutting area at a fix... Read More about On modelling of laser assisted machining: forward and inverse problems for heat placement control.

Wave scattering in coupled composite plates (2018)
Conference Proceeding

Establishing the wave propagation characteristics at plate junctions is of great importance in the prediction of vibrational energy transmission across complex structures. A hybrid approach combining the finite element (FE) and the wave finite elemen... Read More about Wave scattering in coupled composite plates.

Cosmological perturbations from full quantum gravity (2018)
Journal Article

The early universe provides an opportunity for quantum gravity to connect to observation by explaining the large-scale structure of the Universe. In the group field theory (GFT) approach, a macroscopic universe is described as a GFT condensate; this... Read More about Cosmological perturbations from full quantum gravity.

Gelfand-Yaglom formula for functional determinants in higher dimensions (2018)
Journal Article

The Gelfand–Yaglom formula relates functional determinants of the one-dimensional second order differential operators to the solutions of the corresponding initial value problem. In this work we generalise the Gelfand–Yaglom method by considering dis... Read More about Gelfand-Yaglom formula for functional determinants in higher dimensions.

Active learning in Gaussian process interpolation of potential energy surfaces (2018)
Journal Article

© 2018 Author(s). Three active learning schemes are used to generate training data for Gaussian process interpolation of intermolecular potential energy surfaces. These schemes aim to achieve the lowest predictive error using the fewest points and th... Read More about Active learning in Gaussian process interpolation of potential energy surfaces.

The bungee set in quasiregular dynamics (2018)
Journal Article

In complex dynamics, the bungee set is defined as the set points whose orbit is neither bounded nor tends to infinity. In this paper we study, for the first time, the bungee set of a quasiregular map of transcendental type. We show that this set is i... Read More about The bungee set in quasiregular dynamics.

Reactive n-species Cahn–Hilliard system: A thermodynamically-consistent model for reversible chemical reactions (2018)
Journal Article

We introduce a multicomponent Cahn–Hilliard system with multiple reversible chemical reactions. We derive the conservation laws of the multicomponent system within the thermodynamical constraints. Furthermore, we consider multiple chemical reactions... Read More about Reactive n-species Cahn–Hilliard system: A thermodynamically-consistent model for reversible chemical reactions.

Modelling flow-enhanced crystallisation during fused filament fabrication of semi-crystalline polymer melts (2018)
Journal Article

Achieving better control in fused filament fabrication (FFF) relies on a molecular understanding of how thermoplastic printing materials behave during the printing process. For semi-crystalline polymers, the ultimate crystal morphology and how it dev... Read More about Modelling flow-enhanced crystallisation during fused filament fabrication of semi-crystalline polymer melts.

A-posteriori error estimation and adaptivity for nonlinear parabolic equations using IMEX-Galerkin discretization of primal and dual equations (2018)
Journal Article

While many methods exist to discretize nonlinear time-dependent partial differential equations (PDEs), the rigorous estimation and adaptive control of their discretization errors remains challenging. In this paper, we present a methodology for dualit... Read More about A-posteriori error estimation and adaptivity for nonlinear parabolic equations using IMEX-Galerkin discretization of primal and dual equations.

Intelligent computing in architecture, engineering and construction (2018)
Journal Article

Analysis of Nonstationary Emissions for Efficient Characterization of Stochastic em Fields (2018)
Conference Proceeding

A statistical approach using field-field correlation functions which is obtained from two-probe time domain measurement is used to characterize the radiation from complex devices. The time-frequency analysis provided by the measurement data has shown... Read More about Analysis of Nonstationary Emissions for Efficient Characterization of Stochastic em Fields.

Representation of multiple cellular phenotypes within tissue-level simulations of cardiac electrophysiology (2018)
Journal Article

Distinct electrophysiological phenotypes are exhibited 1 by biological cells that have differentiated into particular cell types. The usual approach when simulating the cardiac electrophysiology of tissue that includes different cell types is to mode... Read More about Representation of multiple cellular phenotypes within tissue-level simulations of cardiac electrophysiology.

Group field theory and its cosmology in a matter reference frame (2018)
Journal Article

While the equations of general relativity take the same form in any coordinate system, choosing a suitable set of coordinates is essential in any practical application. This poses a challenge in background-independent quantum gravity, where coordinat... Read More about Group field theory and its cosmology in a matter reference frame.