Implementing the discontinuous-Galerkin finite element method using graph neural networks with application to diffusion equations - Linfeng Li; Jiansheng Xiang; Boyang Chen; Claire E. Heaney; Steven Dargaville; Christopher C. Pain (Neural Networks, 2025)

Real-time updating of dynamic social networks for COVID-19 vaccination strategies - Sibo Cheng; Christopher C. Pain; Yi-Ke Guo; Rossella Arcucci (J. Ambient Intell. Humaniz. Comput., 2024)

AIR multigrid with GMRES polynomials (AIRG) and additive preconditioners for Boltzmann transport - Steven Dargaville; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (J. Comput. Phys., 2024)

Generative model-based framework for parameter estimation and uncertainty quantification applied to a compartmental model in epidemiology - Vinicius L. S. Silva; Claire E. Heaney; Nenko Nenov; Christopher C. Pain (J. Comput. Sci., 2024)

Applying Convolutional Neural Networks to data on unstructured meshes with space-filling curves - Claire E. Heaney; Yuling Li; Omar K. Matar; Christopher C. Pain (Neural Networks, 2024)

Solving the Discretised Multiphase Flow Equations with Interface Capturing on Structured Grids Using Machine Learning Libraries - Boyang Chen; Claire E. Heaney; Jefferson L. M. A. Gomes; Omar K. Matar; Christopher C. Pain (CoRR, 2024)

Using AI libraries for Incompressible Computational Fluid Dynamics - Boyang Chen; Claire E. Heaney; Christopher C. Pain (CoRR, 2024)

Rapid modelling of reactive transport in porous media using machine learning: limitations and solutions - Vinicius L. S. Silva; Geraldine Regnier; Pablo Salinas; Claire E. Heaney; Matthew David Jackson; Christopher C. Pain (CoRR, 2024)

Coarsening and parallelism with reduction multigrids for hyperbolic Boltzmann transport - Steven Dargaville; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (CoRR, 2024)

Ensemble Kalman filter for GAN-ConvLSTM based long lead-time forecasting - Meiling Cheng; Fangxin Fang; Ionel Michael Navon; Christopher C. Pain (J. Comput. Sci., 2023)

Generalised Latent Assimilation in Heterogeneous Reduced Spaces with Machine Learning Surrogate Models - Sibo Cheng; Jianhua Chen; Charitos Anastasiou; Panagiota Angeli; Omar K. Matar; Yi-Ke Guo; Christopher C. Pain; Rossella Arcucci (J. Sci. Comput., 2023)

Data Assimilation Predictive GAN (DA-PredGAN) Applied to a Spatio-Temporal Compartmental Model in Epidemiology - Vinicius L. S. Silva; Claire E. Heaney; Yaqi Li; Christopher C. Pain (J. Sci. Comput., 2023)

Correction to: Data Assimilation Predictive GAN (DA-PredGAN) Applied to a Spatio-Temporal Compartmental Model in Epidemiology - Vinicius L. S. Silva; Claire E. Heaney; Yaqi Li; Christopher C. Pain (J. Sci. Comput., 2023)

Solving the Discretised Neutron Diffusion Equations using Neural Networks - T. R. F. Phillips; Claire E. Heaney; Boyang Chen; Andrew G. Buchan; Christopher C. Pain (CoRR, 2023)

Solving the Discretised Boltzmann Transport Equations using Neural Networks: Applications in Neutron Transport - T. R. F. Phillips; Claire E. Heaney; Boyang Chen; Andrew G. Buchan; Christopher C. Pain (CoRR, 2023)

Digital twins based on bidirectional LSTM and GAN for modelling the COVID-19 pandemic - César Quilodrán Casas; Vinicius L. S. Silva; Rossella Arcucci; Claire E. Heaney; Yike Guo; Christopher C. Pain (Neurocomputing, 2022)

Navier-stokes Generative Adversarial Network: a physics-informed deep learning model for fluid flow generation - Pin Wu; Kaikai Pan; Lulu Ji; Siquan Gong; Weibing Feng; Wenyan Yuan; Christopher C. Pain (Neural Comput. Appl., 2022)

Generative Networks Applied to Model Fluid Flows - Mustapha Jolaade; Vinicius L. S. Silva; Claire E. Heaney; Christopher C. Pain (Computational Science - ICCS 2022 - 22nd International Conference, London, UK, June 21-23, 2022, Proceedings, Part III, 2022)

An AI-based Domain-Decomposition Non-Intrusive Reduced-Order Model for Extended Domains applied to Multiphase Flow in Pipes - Claire E. Heaney; Zef Wolffs; Jón Atli Tómasson; Lyes Kahouadji; Pablo Salinas; André Nicolle; Omar K. Matar; Ionel Michael Navon; Narakorn Srinil; Christopher C. Pain (CoRR, 2022)

Generalised Latent Assimilation in Heterogeneous Reduced Spaces with Machine Learning Surrogate Models - Sibo Cheng; Jianhua Chen; Charitos Anastasiou; Panagiota Angeli; Omar K. Matar; Yi-Ke Guo; Christopher C. Pain; Rossella Arcucci (CoRR, 2022)

Prediction of multiphase flows with sharp interfaces using anisotropic mesh optimisation - Asiri Obeysekara; Pablo Salinas; Claire E. Heaney; Lyes Kahouadji; Lluís Via-Estrem; Jiansheng Xiang; Narakorn Srinil; André Nicolle; Omar K. Matar; Christopher C. Pain (Adv. Eng. Softw., 2021)

A comparison of element agglomeration algorithms for unstructured geometric multigrid - Steven Dargaville; Andrew G. Buchan; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (J. Comput. Appl. Math., 2021)

Merging Real Images with Physics Simulations via Data Assimilation - Rossella Arcucci; César Quilodrán Casas; Aniket Joshi; Asiri Obeysekara; Laetitia Mottet; Yi-Ke Guo; Christopher C. Pain (Euro-Par 2021: Parallel Processing Workshops - Euro-Par 2021 International Workshops, Lisbon, Portugal, August 30-31, 2021, Revised Selected Papers, 2021)

Data Assimilation in the Latent Space of a Convolutional Autoencoder - Maddalena Amendola; Rossella Arcucci; Laetitia Mottet; César Quilodrán Casas; Shiwei Fan; Christopher C. Pain; Paul Linden; Yi-Ke Guo (Computational Science - ICCS 2021 - 21st International Conference, Krakow, Poland, June 16-18, 2021, Proceedings, Part V, 2021)

Adversarially trained LSTMs on reduced order models of urban air pollution simulations - César Quilodrán Casas; Rossella Arcucci; Christopher C. Pain; Yike Guo (CoRR, 2021)

Digital twins based on bidirectional LSTM and GAN for modelling COVID-19 - César Quilodrán Casas; Vinicius L. S. Silva; Rossella Arcucci; Claire E. Heaney; Yike Guo; Christopher C. Pain (CoRR, 2021)

Numerical study of COVID-19 spatial-temporal spreading in London - J. Zheng; X. Wu; F. Fang; J. Li; Z. Wang; H. Xiao; J. Zhu; Christopher C. Pain; Paul Linden; B. Xiang (CoRR, 2021)

Optimal vaccination strategies for COVID-19 based on dynamical social networks with real-time updating - Sibo Cheng; Rossella Arcucci; Christopher C. Pain; Yi-Ke Guo (CoRR, 2021)

Adversarial autoencoders and adversarial LSTM for improved forecasts of urban air pollution simulations - César Quilodrán Casas; Rossella Arcucci; Laetitia Mottet; Yike Guo; Christopher C. Pain (CoRR, 2021)

Data Assimilation Predictive GAN (DA-PredGAN): applied to determine the spread of COVID-19 - Vinicius L. S. Silva; Claire E. Heaney; Yaqi Li; Christopher C. Pain (CoRR, 2021)

GAN for time series prediction, data assimilation and uncertainty quantification - Vinicius L. S. Silva; Claire E. Heaney; Christopher C. Pain (CoRR, 2021)

Scalable angular adaptivity for Boltzmann transport - Steven Dargaville; Andrew G. Buchan; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (J. Comput. Phys., 2020)

Goal-based angular adaptivity for Boltzmann transport in the presence of ray-effects - Steven Dargaville; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (J. Comput. Phys., 2020)

Weak Constraint Gaussian Processes for optimal sensor placement - Tolga Hasan Dur; Rossella Arcucci; Laetitia Mottet; Miguel Molina-Solana; Christopher C. Pain; Yi-Ke Guo (J. Comput. Sci., 2020)

Data-driven modelling of nonlinear spatio-temporal fluid flows using a deep convolutional generative adversarial network - M. Cheng; Fangxin Fang; Christopher C. Pain; I. M. Navon (CoRR, 2020)

A comparison of element agglomeration algorithms for unstructured geometric multigrid - Steven Dargaville; Andrew G. Buchan; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (CoRR, 2020)

An autoencoder-based reduced-order model for eigenvalue problems with application to neutron diffusion - Toby Phillips; Claire E. Heaney; Paul N. Smith; Christopher C. Pain (CoRR, 2020)

Applying Convolutional Neural Networks to Data on Unstructured Meshes with Space-Filling Curves - Claire E. Heaney; Yuling Li; Omar K. Matar; Christopher C. Pain (CoRR, 2020)

Data Assimilation in the Latent Space of a Neural Network - Maddalena Amendola; Rossella Arcucci; Laetitia Mottet; César Quilodrán Casas; Shiwei Fan; Christopher C. Pain; Paul Linden; Yi-Ke Guo (CoRR, 2020)

Optimal reduced space for Variational Data Assimilation - Rossella Arcucci; Laetitia Mottet; Christopher C. Pain; Yi-Ke Guo (J. Comput. Phys., 2019)

Angular adaptivity with spherical harmonics for Boltzmann transport - Steven Dargaville; Andrew G. Buchan; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (J. Comput. Phys., 2019)

Adaptive Domain Decomposition for Effective Data Assimilation - Rossella Arcucci; Laetitia Mottet; César A. Quilodrán Casas; Florian Guitton; Christopher C. Pain; Yi-Ke Guo (Euro-Par 2019: Parallel Processing Workshops - Euro-Par 2019 International Workshops, Göttingen, Germany, August 26-30, 2019, Revised Selected Papers, 2019)

A Domain Decomposition Reduced Order Model with Data Assimilation (DD-RODA) - Rossella Arcucci; César Quilodrán Casas; Dunhui Xiao; Laetitia Mottet; Fangxin Fang; Pin Wu; Christopher C. Pain; Yi-Ke Guo (Parallel Computing: Technology Trends, Proceedings of the International Conference on Parallel Computing, PARCO 2019, Prague, Czech Republic, September 10-13, 2019, 2019)

Hybrid Data Assimilation: An Ensemble-Variational Approach - Edward M. Lim; Miguel Molina-Solana; Christopher C. Pain; Yi-Ke Guo; Rossella Arcucci (15th International Conference on Signal-Image Technology & Internet-Based Systems, SITIS 2019, Sorrento, Italy, November 26-29, 2019, 2019)

Goal-based angular adaptivity for Boltzmann transport in the presence of ray-effects - Steven Dargaville; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (CoRR, 2019)

Effective variational data assimilation in air-pollution prediction - Rossella Arcucci; Christopher C. Pain; Yi-Ke Guo (Big Data Min. Anal., 2018)

A discontinuous control volume finite element method for multi-phase flow in heterogeneous porous media - Pablo Salinas; Dimitris Pavlidis; Ziqing Xie; H. Osman; Christopher C. Pain; Matthew David Jackson (J. Comput. Phys., 2018)

Goal-based sensitivity maps using time windows and ensemble perturbations - Claire E. Heaney; Pablo Salinas; Fangxin Fang; Christopher C. Pain; I. M. Navon (CoRR, 2018)

A non-intrusive reduced-order model for compressible fluid and fractured solid coupling and its application to blasting - Dunhui Xiao; Pan Yang; Fangxin Fang; Jiansheng Xiang; Christopher C. Pain; I. M. Navon; Min Chen (J. Comput. Phys., 2017)

Adaptive Haar wavelets for the angular discretisation of spectral wave models - Alexandros Adam; Andrew G. Buchan; Matthew D. Piggott; Christopher C. Pain; Jon Hill; Mark A. Goffin (J. Comput. Phys., 2016)

Higher-order conservative interpolation between control-volume meshes: Application to advection and multiphase flow problems with dynamic mesh adaptivity - Alexandros Adam; Dimitris Pavlidis; James R. Percival; Pablo Salinas; Ziqing Xie; Fangxin Fang; Christopher C. Pain; A. H. Muggeridge; Matthew David Jackson (J. Comput. Phys., 2016)

Modelling of fluid-structure interaction with multiphase viscous flows using an immersed-body method - Pan Yang; Jiansheng Xiang; Fangxin Fang; Dimitris Pavlidis; John-Paul Latham; Christopher C. Pain (J. Comput. Phys., 2016)

Goal-based angular adaptivity applied to a wavelet-based discretisation of the neutral particle transport equation - Mark A. Goffin; Andrew G. Buchan; Steven Dargaville; Christopher C. Pain; Paul N. Smith; Richard P. Smedley-Stevenson (J. Comput. Phys., 2015)

A POD reduced order model for resolving angular direction in neutron/photon transport problems - Andrew G. Buchan; A. A. Calloo; Mark G. Goffin; Steven Dargaville; Fangxin Fang; Christopher C. Pain; Ionel Michael Navon (J. Comput. Phys., 2015)

Interface control volume finite element method for modelling multi-phase fluid flow in highly heterogeneous and fractured reservoirs - Ahmad S. Abushaikha; Martin J. Blunt; Olivier R. Gosselin; Christopher C. Pain; Matthew David Jackson (J. Comput. Phys., 2015)

Non-linear model reduction for the Navier-Stokes equations using residual DEIM method - Dunhui Xiao; Fangxin Fang; Andrew G. Buchan; Christopher C. Pain; Ionel Michael Navon; Juan Du; G. Hu (J. Comput. Phys., 2014)

POD reduced-order unstructured mesh modeling applied to 2D and 3D fluid flow - Juan Du; Fangxin Fang; Christopher C. Pain; I. M. Navon; Jiang Zhu; David A. Ham (Comput. Math. Appl., 2013)

Non-linear Petrov-Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods - Fangxin Fang; Christopher C. Pain; I. M. Navon; Ahmed H. Elsheikh; Juan Du; Dunhui Xiao (J. Comput. Phys., 2013)

Minimising the error in eigenvalue calculations involving the Boltzmann transport equation using goal-based adaptivity on unstructured meshes - Mark A. Goffin; Christopher M. J. Baker; Andrew G. Buchan; Christopher C. Pain; Matthew D. Eaton; Paul N. Smith (J. Comput. Phys., 2013)

LBB stability of a mixed Galerkin finite element pair for fluid flow simulations - Colin J. Cotter; David A. Ham; Christopher C. Pain; Sebastian Reich (J. Comput. Phys., 2009)

A systematic approach to unstructured mesh generation for ocean modelling using GMT and Terreno - Gerard J. Gorman; M. D. Piggott; M. R. Wells; Christopher C. Pain; Peter A. Allison (Comput. Geosci., 2008)

Nuclear Reactor Reactivity Prediction Using Feed Forward Artificial Neural Networks - Shan Jiang; Christopher C. Pain; Jonathan N. Carter; Ahmet K. Ziver; Matthew D. Eaton; Anthony J. H. Goddard; Simon J. Franklin; Heather J. Phillips (Advances in Neural Networks - ISNN 2008, 5th International Symposium on Neural Networks, ISNN 2008, Beijing, China, September 24-28, 2008, Proceedings, Part I, 2008)

Shoreline approximation for unstructured mesh generation - Gerard J. Gorman; M. D. Piggott; Christopher C. Pain (Comput. Geosci., 2007)

Adjoint A Posteriori Error Measures for Anisotropic Mesh Optimisation - P. W. Power; Christopher C. Pain; M. D. Piggott; Fangxin Fang; Gerard J. Gorman; A. P. Umpleby; Anthony J. H. Goddard; I. M. Navon (Comput. Math. Appl., 2006)

K-way neural network graph partitioning with separator vertices - Christopher C. Pain; C. R. E. de Oliveira; Anthony J. H. Goddard; A. P. Umpleby (Biol. Cybern., 1999)

Simulated annealing task to processor mapping for domain decomposition methods on distributed parallel computers - Christopher C. Pain; C. R. E. de Oliveira; Anthony J. H. Goddard (Concurr. Pract. Exp., 1999)