The following papers have been accepted for publication:

77: Modelling the reduction of quartz in a quartz-carbon pellet, B. Metherall, C. J. W. Breward , C. P. Please , J. M. Oliver, and B. M. Sloman; Journal of Engineering Mathematics, 141, 4 p29

76: Exploring QSAR Models for Activity-Cliff Prediction, Markus Dablander, Thierry Hanser, Renaud Lambiotte, Garrett M. Morris; Journal of Cheminformatics, 15(1), p47

75: Escaping local minima with local derivative-free methods: a numerical investigation, C. Cartis, L. Roberts, O. Sheridan-Methven; A Journal of Mathematical Programming and Operations Research, Vol 71, 2022 - Issue 8, p2343-2373

74: Approximating inverse cumulative distribution functions to produce approximate random variables, M. Giles, O. Sheridan-Methven; ACM Transactions on Mathematical Software

73: Determining the conductance of networks created by randomly dispersed cylinders, S. Appella , A. Atayev , O. G. Bond , B. Collins , M. Dablander , N. Fadeev , A. A. Lacey , P. Morawiecki , H. Ockendon , D. Polvara , E. Powell , L. Quintavalle , E. Wilson and Y. Zhou; ESGI 165 Durham

72: Encouraging Safe, Green, and Economically Sustainable Use of our Natural Environment, A. K. Berryman, E. Donlon, S. Abrahams, M. Aleandri, J. M. C. Correia, S. G. Kamperis, D. McKinnell, B. Metherall, F. Millward, K. Yu, and F. Zeng; Mathematics in Industry Reports Nov 2022, p19

71: Optimal fleet management and rapid scheduling, B. Metherall, F. Almeida, G. S. Brennan, C. Dias, C. Geraldes, and T. Silva; Mathematics in Industry Reports Dec 2022, p22

70: Estimating Customer Lifetime Value (CLV) in the Gaming Industry Using Incomplete Data, S.R. Abrahams, R. Ali, A. Berryman, N. A. Hamzah, T.F. Khang, C.M. Ng, Y. Tian, H. Yang; European Study Group with Industry 162

69: The Twinning Problem, C. Bohmer, L. Corcoran, A. Einav, C. L. Hall, J. P. Harris, L. Midgley, M. J. Negus, N. Peyerimhoff; ESGI 165

68: Amortised Likelihood-free Inference for Expensive Time-series Simulators with Signatures Ratio Estimation, Dyer, J; Cannon, PW; Schmon, SM; The 25th International Conference on Artificial Intelligence and Statistics, 151, 11131-11144

67: Analysis of Nested Multilevel Monte Carlo Using Approximate Normal Random Variables, Michael Giles and Oliver Sheridan-Methven; SIAM Journal on Uncertainty Quantification, Volume 10, Issue 1, 200-226

66: Data-driven discovery of Green's functions with human-understandable deep learningN. Boulle, C.J. Earls, A. Townsend; Scientific Reports, 12, 4824

65: Understanding the Fundamentals of Motor Current Signature Analysis, M.D. Shirley, A.R. Champneys, N. Marrin, M.R. Moore, B.M.A.G. Piette, A.D. Shaw; Maths in Industry Reports, ESGI 162, 32

64: Ice on suspension bridge cables, P.Hjorth, V. B. Ljungdahl, S. Madsen, A. Ikonomakis, F. L.-S. Pedersen, C. P. Please, M.D. Shirley; Maths in Industry Reports ESGI 160, 21

63: Control of bifurcation structures using shape optimization, N. Boulle, A. Paganini, P.E. Farrell; SIAM Journal on Scientific Computing, Volume 44, No 1, A57-A76

62: Accurate numerical simulation of electrodiffusion and water movement in brain tissue, A.J. Ellingsrud, N. Boulle, P.E. Farrell, M.E. Rognes; Mathematical Medicine and Biology: A Journal of the IMA, 00, 1-36

61: Policy Gradient Methods for the Noisy Linear Quadratic Regulator over a Finite Horizon, B. Hambly, R. Xu, and H. Yang; SIAM Journal on Control and Optimization, Volume 59, Issue 5, 3359-3391

60: Predicting instabilities of a tunable ring laser with an iterative map model, B. Metherall and C. S. Bohun; Journal of the Optical Society of America B, Vol. 38, No. 9, 2479--2487

59: Is academia becoming more localised? The growth of regional knowledge networks within international research collaboration, J. Fitzgerald, S. Ojanperä, N. O'Clery; Applied Network Science, 6 (38)

58: Detecting and repairing arbitrage in traded option prices, S. N. Cohen, C. Reisinger, S. Wang; Applied Mathematical Finance, 27 (5)

57: Challenges in sample processing within radiocarbon dating and their impact in 14C-dates-as-data studies, L Becerra-Valdivia, R Leal-Cervantes, R. Wood and T. Higham; Journal of Archaelogical Science, Volume 113, January 2020, 105043 

56: Identifying and characterising the impact of excitability in a mathematical model of tumour-immune interactions, A. Osojnik, E. A. Gaffney, M. Davies, J. W. T. Yates, H. M. Byrne; Journal of Theoretical Biology, Volume 501, 110250

55: A risk-based, network analysis of distributed in-stream leaky barriers for flood risk management, B. Hankin, I. Hewitt, G. Sander, F. Danieli, G. Formetta, A. Kamilova, A. Kretzschmar, K. Kiradjiev; Natural Hazards and Earth System Sciences (NHESS), 20, 2567-2584

54: A heat and mass transfer problem for the dissolution of an alumina particle in a cryolite bath, A. Kovács, C.J.W. Breward, K.E. Einarsrud, S.A. Halvorsen, E. Nordgård-Hansen, E. Manger, A. Münch, J.M. Oliver; International Journal of Heat and Mass Transfer, 162, 120232

53: Infection, inflammation and intervention: mechanistic modelling of epithelial cells in COVID-19, N. T. Fadai, R. Sachak-Patwa, H.M. Byrne, P.K. Maini, M, Bafadhel, D.V. Nicolau; Journal of The Royal Society Interface, 18 (175)

52: The benefits of peer transparency in safe workplace operation post pandemic lockdown, Wey A, Champneys A, Dyson R, Alwan N, Barker M; Journal of the Royal Society Interface, 18: 20200617

51: Accounting for cross-immunity can improve forecast accuracy during influenza epidemics, R. Sachak-Patwa, H.M. Byrne, R.N. Thompson; Epidemics, 34, 100432

50: Tollmien–Schlichting wave cancellation via localised heating elements in boundary layers, G. S. Brennan, J. S. B. Gajjar, and R. E. Hewitt; Journal of Fluid Mechanics, vol 909, A16

49: Fast uncertainty quantification of tracer distribution in the brain interstitial fluid with multilevel and quasi Monte Carlo, M. Croci, V. Vinje, M. E. Rognes; International Journal for Numerical Methods in Biomedical Engineering, Volume 37, Issue 1

48: Public risk perception and emotion on Twitter during the Covid-19 pandemic, J. Dyer, B. Kolic; Applied Network Science, 5:99

47: Deflation-based identification of nonlinear excitations of the three-dimensional Gross-Pitaevskii equation, N. Boulle, E.G. Charalampidis, P.E. Farrell, P.G. Kevrekidis; Physical Review A, volume 102, issue 5, 053307

46: Utilization of the signature method to identify the early onset of sepsis from multivariate physiological time series in critica, James H Morrill, Andrey Kormilitzin, Alejo J Nevado-Holgado, Sumanth Swaminathan, Samuel D Howison, Terry J Lyons; Critical Care Medicine, Volume 48 Issue 10

45: Numerically Solving Parametric Families of High-Dimensional Kolmogorov Partial Differential Equations via Deep Learning, J. Berner, M. Dablander, P. Grohs; Thirty-fourth Conference on Neural Information Processing Systems (NeurIPS 2020)

44. Computing with functions in the ball, N. Boulle and A. Townsend; SIAM Journal on Scientific Computing, 42(4), C169-C191

43. Bifurcation analysis of stationary solutions of two-dimensional coupled Gross–Pitaevskii equations using deflated continuation, E.G. Charalampidis, N. Boulle, P.E. Farrell, P.G. Kevrekidis; Commun. Nonlinear Sci. Numer. Simulat. 87C, 105255

42. Modeling Microsilica Particle Formation and Growth Due to the Combustion Reaction of Silicon Monoxide With Oxygen, R. González-Fariña, A. Münch, J. M. Oliver, R. A. Van Gorder; SIAM Journal on Applied Mathematics, 80(2),         1003-1033

41. Complexity bounds on supermesh construction for quasi-uniform meshes, M. Croci, P. E. Farrell; Journal of Computational Physics, 414, 1-7

40. Shear-induced instabilities of flows through submerged vegetation, C. Y. H. Wong, P. H. Trinh and S. J. Chapman; Journal of Fluid Mechanics, 891, A17

39. Effects of geometry on resistance in elliptical pipe flows, J.G. Williams, B.W. Turney, D.E. Moulton, S.L. Waters; Journal of Fluid Mechanics, Article ref 2000121, 40

38. Simple Model for the Hygroscopy of Sulfuric Acid, K. B. Kiradjiev, V. Nikolakis, I. M. Griffiths, U. Beuscher, V. Venkateshwaran, C. J. W. Breward; Industrial & Engineering Chemistry Research

37. Classification of chaotic time series with deep learning, N. Boullé, V. Dallas, Y. Nakatsukasa and D. Samaddar; Physica D: Nonlinear Phenomena, volume 403, 132261

36. Customer mobility and congestion in supermarkets, F. Ying, A.O.G. Wallis, M. Beguerisse-Díaz, M.A. Porter, and S.D. Howison; Physical Review E, 100

35. A derivative-free Gauss–Newton method, C. Cartis and L. Roberts; Mathematical Programming Computation, Volume 11, Issue 4, 631-674

34. Uncertainty quantification of parenchymal tracer distribution using random diffusion and convective velocity fields, M. Croci, V. Vinje, M. E. Rognes; Fluids and Barriers of the CNS, Vol 16, No 32, 21

33. Faster Lead-Acid Battery Simulations from Porous-Electrode Theory: II. Asymptotic Analysis, V. Sulzer, S.J. Chapman, C.P. Please, D.A. Howey, C.W. Monroe; Journal of the Electrochemical Society, 166,12, A2372-A2382

32. Faster Lead-Acid Battery Simulations from Porous-Electrode Theory: I. Physical Model, V. Sulzer, S.J. Chapman, C.P. Please, D.A. Howey, C.W. Monroe; Journal of the Electrochemical Society, 166,12, A2372-A2382

31. Homogenisation of a shrinking core model for gas-solid reactions, B.M. Sloman, C.P. Please, R.A. Van Gorder;  SIAM Journal on Applied Mathematics, 79,1, 177-206

30. Modelling structural deformations in a roasting coffee bean, N.T. Fadai, C.P. Please, R.A. Van Gorder; International Journal of Non-Linear Mechanics, 110, 123-130

29. Maxwell-type models for the effective thermal conductivity of a porous material with radiative transfer in the voidsK. B. Kiradjiev, S.A. Halvorsen, R.A. Van Gorder, S.D. Howison; International Journal of Thermal Sciences, 145, 1-8

28. Improving the Flexibility and Robustness of Model-based Derivative-free Optimization Solvers, C. Cartis, J. Fiala, B. Marteau and L. Roberts; ACM Transactions on Mathematical Software, Volume 45, Issue 3, Article 32

27. Multispectral Snapshot Demosaicing via Non-Convex Matrix Completion, G. A. Antonucci, S. Vary, D. Humphreys, R. A. Lamb, J. Piper, J.Tanner; 2019 IEEE Data Science Workshop (DSW), 227-231

26. A block preconditioner for non-isothermal flow in porous media, T. Roy, T.B. Jönsthövel, C. Lemon, and A.J. Wathen;  Journal of Computational Physics

25. Understanding viral video dynamics through an epidemic modelling approach, R. Sachak-Patwa, N.T. Fadai, R. A. Van Gorder; Physica A: Statistical Mechanics and its Applications, 502

24. The Fluid Mechanics of Ureteroscope Irrigation, J.G. Williams, B.W. Turney, N.P. Rauniyar, T.P. Harrah, S.L. Waters, D.E. Moulton;  Journal of Endourology 13, 31

23. Non-wetting drops at liquid interfaces: from liquid marbles to Leidenfrost drops, C. Y. H. Wong, M. Adda-Bedia and D. Vella; Soft Matter, 13, 31

22. Higher-Order Moving Mesh Methods for PDE-Constrained Shape Optimization, A. Paganini , F. Wechsung, and P. E. Farrell; SIAM Journal on Scientific Computing, Volume 40, Issue 4

21. A robust parallel algorithm for combinatorial compressed sensing, R. Mendoza-Smith, J.Tanner, F. Wechsung; IEEE Transactions on Signal Processing, Volume: 66 , Issue: 8

20. Extended Stefan Problem for Solidification of Binary Alloys in a Finite Planar Domain, F. Brosa Planella, C. P. Please, and R. A. Van Gorder; SIAM J. Appl. Math., vol. 79, no. 3, pp. 876–913, Jan. 2019

19. Preconditioners for Two-Phase Incompressible Navier-Stokes Flow, N. Bootland, A. Bentley, C. Kees, and A .Wathen; SIAM Journal on Scientific Computing

18. Flow of a thin liquid-metal film in a toroidal magnetic field, D. Lunz, P. D. Howell; Journal of Fluid Mechanics, 867, 835-876 (2019).

17. Connecting the Dots with Pick's TheoremK. B. Kiradjiev; Mathematics Today, 212-214 (2018).

16. Surface-tension- and injection-driven spreading of a thin viscous film,  K. B. Kiradjiev, C. J. W. Breward, I. M. Griffiths; Journal of Fluid Mechanics, 861, 765-795 (2018). 

15. Efficient white noise sampling and coupling for multilevel Monte Carlo with non-nested meshes, M. Croci, M. B. Giles, M. E. Rognes and P. E. Farrell; SIAM/ASA Journal on Uncertainty Quantification, 6(4), 1630-1655 (2018).

14. Dynamics of a thin film driven by a moving pressure source, D. Lunz, P. D. Howell; Physical Review Fluids, 3, 114801 (2018).

13. The Influence of Distributed Chemical Reaction Groups in a Multiphase Coffee Bean Roasting Model, N. T. Fadai, Z. Akram, F. Guilmineau, J. Melrose, C. P. Please, R. A. Van Gorder; IMA Journal of Applied Mathematics, 1-28 (2018).

12. Optim: a mathematical optimazation package for Julia, P. K. Mogensen, A.N. Riseth; Journal of Open Source Software, 3(24), 615, 2018.

11. Asymptotic Analysis of a Silicon Furnace Model,  B.M. Sloman, C.P. Please, R.A. Van Gorder; SIAM Journal on Applied Mathematics, 78 , pp 1174-1205, (2018)

10.  Asymptotic Analysis of a Multiphase Drying Model Motivated by Coffee Bean Roasting, N. T. Fadai, C. P. Please, R. A. Van Gorder; SIAM Journal on Applied Mathematics, 78, pp 418-436, (2018)

9. Instability in the self-similar motion of a planar solidification front, F. Brosa Planella, C.P. Please and R.A. Van Gorder; IMA Journal of Applied Mathematics, 83, 106-130, (2018)

8. Exploring Steiner Chains with Möbius Transformations, K.B. Kiradjiev; Mathematics Today, 272-274, (2017)

7. A heat and mass transfer study of carbon paste baking, L. Roberts, E. Nordgård-Hansen, Ø. Mikkelsen, S. A. Halvorsen, R. A. Van Gorder; International Communications in Heat and Mass Transfer, 88, 9-19, (2017)

6. A heat and mass transfer model of a silicon pilot furnace, B.M. Sloman, C.P. Please, R.A. Van Gorder, A.M. Valderhaug, R.G. Birkeland, H. Wegge; Metallurgical and Materials Transactions B, 48, 2664-2676, (2017) 

5. How to estimate quantiles easily and reliably; K. Briggs, F.Ying; Mathematics Today, 26- 29 (2018)

4. A heat and mass transfer study of coffee bean roasting, N. T. Fadai, J. Melrose, C. P. Please, A. Schulman, and R. A. Van Gorder, International Journal of Heat and Mass Transfer, 104, 787-799, (2017)

3. Solidification of silicon in a one-dimensional slab and a two-dimensional wedge, G. P. Benham, K. Hildal, C. P. Please, and R. A. Van Gorder, International Journal of Heat and Mass Transfer, 98, 530-540, (2016)

2. Penetration of molten silicon into a bed of fines, G. P. Benham, K. Hildal, C. P. Please, and R. A. Van Gorder, International Communications in Heat and Mass Transfer, 75, 323-327, (2016)

1. Monitoring anthropogenic ocean sound from shipping using an acoustic sensor network and a compressive sensing approach, Peter Harris, Rachel Philip , Stephen Robinson and Lian Wang, Sensors, 16, Issue 3 3 (2016)

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