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Gelfand-Yaglom formula for functional determinants in higher dimensions (2018)
Journal Article
Ossipov, A. (2018). Gelfand-Yaglom formula for functional determinants in higher dimensions. Journal of Physics A: Mathematical and Theoretical, 51(49), Article 495201. https://doi.org/10.1088/1751-8121/aae8a7

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
Uteva, E., Graham, R. S., Wilkinson, R. D., & Wheatley, R. J. (2018). Active learning in Gaussian process interpolation of potential energy surfaces. Journal of Chemical Physics, 149(17), 174114. https://doi.org/10.1063/1.5051772

© 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
Nicks, D. A., & Sixsmith, D. J. (2019). The bungee set in quasiregular dynamics. Bulletin of the London Mathematical Society, 51(1), 120-128. https://doi.org/10.1112/blms.12215

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
Clavijo, S., Sarmiento, A., Espath, L., Dalcin, L., Cortes, A., & Calo, V. (2019). Reactive n-species Cahn–Hilliard system: A thermodynamically-consistent model for reversible chemical reactions. Journal of Computational and Applied Mathematics, 350, 143-154. https://doi.org/10.1016/j.cam.2018.10.007

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
McIlroy, C., & Graham, R. (2018). Modelling flow-enhanced crystallisation during fused filament fabrication of semi-crystalline polymer melts. Additive Manufacturing, 24, 323-340. https://doi.org/10.1016/j.addma.2018.10.018

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
Wu, X., van der Zee, K., Simsek, G., & van Brummelen, E. (2018). A-posteriori error estimation and adaptivity for nonlinear parabolic equations using IMEX-Galerkin discretization of primal and dual equations. SIAM Journal on Scientific Computing, 40(5), A3371–A3399. https://doi.org/10.1137/17M1133968

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.

Analysis of Nonstationary Emissions for Efficient Characterization of Stochastic em Fields (2018)
Presentation / Conference Contribution
Baharuddin, M. H., Smartt, C., Maricar, M. I., Thomas, D. W., Gradoni, G., Creagh, S. C., & Tanner, G. (2018, August). Analysis of Nonstationary Emissions for Efficient Characterization of Stochastic em Fields. Presented at International Symposium and Exhibition on Electromagnetic Compatibility (EMC EUROPE 2018), Amsterdam, Netherlands

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
Bowler, L. A., Gavaghan, D. J., Mirams, G. R., & Whiteley, J. P. (2019). Representation of multiple cellular phenotypes within tissue-level simulations of cardiac electrophysiology. Bulletin of Mathematical Biology, 81(1), 7–38. https://doi.org/10.1007/s11538-018-0516-1

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
Gielen, S. (2018). Group field theory and its cosmology in a matter reference frame. Universe, 4(10), 103. https://doi.org/10.3390/universe4100103

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.