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)

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)

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

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 (ISNN (1), 2008)

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)

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)

POD reduced-order unstructured mesh modeling applied to 2D and 3D fluid flow. - Juan Du 011; 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 011; 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)

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 011; G. Hu (J. Comput. Phys., 2014)

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)

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)

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)

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 014; Jiansheng Xiang; Fangxin Fang; Dimitris Pavlidis; John-Paul Latham; Christopher C. Pain (J. Comput. Phys., 2016)

A non-intrusive reduced-order model for compressible fluid and fractured solid coupling and its application to blasting. - Dunhui Xiao; Pan Yang 014; Fangxin Fang; Jiansheng Xiang; Christopher C. Pain; I. M. Navon; Min Chen (J. Comput. Phys., 2017)

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

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 Workshops, 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 (PARCO, 2019)

Hybrid Data Assimilation: An Ensemble-Variational Approach. - Edward M. Lim; Miguel Molina-Solana; Christopher C. Pain; Yi-Ke Guo; Rossella Arcucci (SITIS, 2019)

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)

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)

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)

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)

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)

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 Workshops, 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 (ICCS (5), 2021)

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)

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)

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)

Generative Networks Applied to Model Fluid Flows. - Mustapha Jolaade; Vinicius L. S. Silva; Claire E. Heaney; Christopher C. Pain (ICCS (3), 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)

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)

Solving the Discretised Neutron Diffusion Equations using Neural Networks. - T. R. F. Phillips; Claire E. Heaney; Boyang Chen 002; 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 002; Andrew G. Buchan; Christopher C. Pain (CoRR, 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)

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)

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 Multiphase Flow Equations with Interface Capturing on Structured Grids Using Machine Learning Libraries. - Boyang Chen 002; 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 002; 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)

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)

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)

Coarsening and parallelism with reduction multigrids for hyperbolic Boltzmann transport. - Steven Dargaville; Richard P. Smedley-Stevenson; Paul N. Smith; Christopher C. Pain (Int. J. High Perform. Comput. Appl., 2025)

Implementing the discontinuous-Galerkin finite element method using graph neural networks with application to diffusion equations. - Linfeng Li; Jiansheng Xiang; Boyang Chen 002; Claire E. Heaney; Steven Dargaville; Christopher C. Pain (Neural Networks, 2025)

Online learning to accelerate nonlinear PDE solvers: applied to multiphase porous media flow. - Vinicius L. S. Silva; Pablo Salinas; Claire E. Heaney; Matthew David Jackson; Christopher C. Pain (CoRR, 2025)

An AI-driven framework for the prediction of personalised health response to air pollution. - Nazanin Zounemat Kermani; Sadjad Naderi; Claire H. Dilliway; Claire E. Heaney; Shrreya Behll; Boyang Chen 002; Hisham Abubakar-Waziri; Alexandra E. Porter; Marc Chadeau-Hyam; Fangxin Fang; Ian M. Adcock; Kian Fan Chung; et al. (CoRR, 2025)