Daniel Colquitt A very applied mathematician

Daniel Colquitt · Applied mathematics

Publications

Here is a list of my peer-reviewed publications and submitted manuscripts. I try to make all my papers openly accessible but, if you are unable to access any of these articles, please get in touch and I will supply you with a copy.

Books

Front cover of Mathematical modelling of waves in Multi-Scale Media

Mathematical Modelling of Waves in Multi-Scale Structured Media

Movchan AB, Movchan NV, Jones IS, Colquitt DJ

Mathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling of photonic, phononic, and platonic crystals.

Published in 2017 by CRC Press, in hardback and ebook formats.

Peer-reviewed papers

  1. Open access Boulton F, Colquitt DJ, Timme S, & Williams DP. 2026 Multi-fidelity data fusion for ocean sound speed. J. Acoust. Soc. Am., 160(5), pp. 3941–3956. (doi: 10.1121/10.0047244)

  2. Open access Gaffney J, Beckingham T, Colquitt DJ , Christian WJR , Daniels W, Sarris G, Madine K, Song Z, & Haslinger SG. 2026 A synthetic dataset is sufficient to measure the height of thermally fatigued surface-breaking cracks using convolutional neural networks. NDT Int., 164(5), 103848. (doi: 10.1016/j.ndteint.2026.103848)

  3. Beckingham T, Gaffney J, Colquitt D, Ralph JF, Haslinger SG, Huthwaite P, Lowe MJS. 2026 1D-CNN for Automated Characterisation of Thermal Fatigue Cracks. e-Journal of Nondestructive Testing, 31(7). (doi: 10.58286/33573)

  4. Gaffney J, Beckingham T, Colquitt D, Daniels W, Haslinger SG. 2026 Optimising Synthetic Data for Machine Learning Applications on Surface Breaking Thermal Fatigue Cracks. e-Journal of Nondestructive Testing, 31(7). (doi: 10.58286/33339)

  5. Open access Shaw W, Fontana M, Üney M, Colquitt DJ, Riches S, Jones C. 2025 Source Detection in Broadband Passive SONAR with Vision Transformers and Poisson RFS Loss, in 2025 28th International Conference on Information Fusion (FUSION), IEEE, pp. 1–9. (doi: 10.23919/FUSION65864.2025.11124186)

  6. Open access Davies B et al. 2025 Roadmap on metamaterial theory, modelling and design J Phys D: Appl Phys, 58 203002. (doi: 10.1088/1361-6463/adc271)

  7. Open access Edge RG, Paul E, Madine KH, Colquitt DJ, Starkey TA, Chaplain GJ. 2025 Discrete Euler-Bernoulli Beam Lattices with Beyond Nearest Connections New J Phys, 27 023007. (doi: 10.1088/1367-2630/adaf50)

  8. Open access Madine KH, Colquitt DJ. 2024 The perpendicular gyroscope: modal analysis of plate, beam and gyroscope multistructures Philos Trans R Soc A, 382:20230358. (doi: 10.1098/rsta.2023.0358)

  9. Open access Failla G, Marzani A, Palermo A, Russillo AF, Colquitt DJ. 2024 Current developments in elastic and acoustic metamaterials science Philos Trans R Soc A, 382:20230369. (doi: 10.1098/rsta.2023.0369)

  10. Open access Boulton F, Colquitt DJ, Timme S, Williams DP. 2024 Gaussian processes for merging water column parameters Proc Inst Acoust, 46(1). (doi: 10.25144/22219)

  11. Open access Whitchelo Y, Haslinger SG, Colquitt DJ, Williams DP. 2023 Scattering of acoustic waves from rough seabeds: a comparison of two- and three-dimensional models. Proc Mtgs Acoust, 8 May 2023, 51(1) : 070003. (doi: 10.1121/2.0001801)

  12. Open access Madine KH, Colquitt DJ. 2022 Negative refraction and mode trapping of flexural-torsional waves in elastic lattices. Philos Trans R Soc A, 380 : 20210379. (doi: 10.1098/rsta.2021.0379)

  13. Open access Madine KH, Colquitt DJ. 2021 Dynamic Green's functions in discrete flexural systems. Q J Mech Appl Math, 74(3), 323–350. (doi: 10.1093/qjmam/hbab006)

  14. Open access Lott M, Roux P, Rupin M, Colquitt DJ, Colombi A. 2021 Negative index metamaterial through multi-wave interactions: numerical proof of the concept of low-frequency Lamb-wave multiplexing. Sci Rep, 11, 561. (doi: 10.1038/s41598-020-79572-9)

  15. Open access Fuentes-Domínguez R, Yao M, Colombi A, Dryburgh P, Pieris D, Jackson-Crisp A, Colquitt DJ, Clare A, Smith RJ, Clark M. 2021 Design of a resonant Luneburg lens for surface acoustic waves. Ultrasonics, 111, 106306 (doi: 10.1016/j.ultras.2020.106306)

  16. Subscription access Carta G, Colquitt DJ, Movchan AB, Movchan NV, Jones IS. 2020 Chiral flexural waves in structured plates: directional localisation and control. J Mech Phys Solids, 137, 103866 (doi: 10.1016/j.jmps.2020.103866)
    Open access Author accepted manuscript.

  17. Open access Carta G, Colquitt DJ, Movchan AB, Movchan NV, Jones IS. 2020 One-way interfacial waves in a flexural plate with chiral double resonators. Philos Trans R Soc A, 378, 20190350. (doi: 10.1098/rsta.2019.0350)

  18. Subscription access Wootton PT, Kaplunov J, Colquitt DJ. 2019 An asymptotic hyperbolic-elliptic model for flexural-seismic metasurfaces. Proc R Soc A, 475, 20190079. (doi: 10.1098/rspa.2019.0079)
    Open access Author accepted manuscript.

  19. Subscription access Colquitt DJ, Danishevskyy VV, Kaplunov JD. 2019 Composite dynamic models for periodically heterogeneous media. Math Mech Solids, 24(9), 2663–2693. (doi: 10.1177/1081286518776704)
    Open access Author accepted manuscript.

  20. Open access Skelton EA, Craster RV, Colombi A, Colquitt DJ. 2018 The multi-physics metawedge: graded arrays on fluid-loaded elastic plates and the mechanical analogues of rainbow trapping and mode conversion. New J Phys, 20, 053017. (doi: 10.1088/1367-2630/aabecf)

  21. Open access Colombi A, Craster RV, Colquitt DJ, Achaoui Y, Guenneau S, Roux P, Rupin M. 2017 Elastic wave control beyond band-gaps: shaping the flow of waves in plates and half-spaces with subwavelength resonant rods. Front Mech Eng, 3, 10. (doi: 10.3389/fmech.2017.00010)

  22. Open access Colombi A, Ageeva V, Smith RJ, Clare A, Patel R, Clark M, Colquitt DJ, Roux P, Guenneau SRL, Craster RV. 2017 Enhanced sensing and conversion of ultrasonic Rayleigh waves by elastic metasurfaces. Sci Rep, 7, 6750. (doi: 10.1038/s41598-017-07151-6)

  23. Open access Tallarico D, Movchan NV, Movchan AB, Colquitt DJ. 2017 Tilted resonators in a triangular elastic lattice: chirality, Bloch waves and negative refraction. J Mech Phys Solids, 103, 236-256. (doi: 10.1016/j.jmps.2017.03.007)

  24. Open access Colquitt DJ, Colombi A, Craster RV, Roux P, Guenneau SRL. 2017 Seismic metasurfaces: Sub-wavelength resonators and Rayleigh wave interaction. J Mech Phys Solids, 99, 379-393. (doi: 10.1016/j.jmps.2016.12.004)

  25. Open access Maling BJ, Colquitt DJ, Craster RV. 2017 Dynamic homogenisation of Maxwell's equations with applications to photonic crystals and localised waveforms on gratings. Wave Motion, 69, 35-49. (doi: 10.1016/j.wavemoti.2016.11.003)

  26. Open access Colquitt DJ, Movchan NV, Movchan AB. 2016 Parabolic Metamaterials and Dirac Bridges. J Mech Phys Solids, 95, 621-631. (doi: 10.1016/j.jmps.2016.05.006)

  27. Subscription access Vanel AL, Craster RV, Colquitt DJ, Makwana M. 2016 Asymptotics of dynamic lattice Green's functions. Wave Motion, 67, 15-31. (doi: 10.1016/j.wavemoti.2016.05.010)
    Open access Author accepted manuscript.

  28. Open access Colombi A, Colquitt DJ, Roux P, Guenneau S, Craster RV. 2016 A seismic metamaterial: The resonant metawedge. Sci Rep, 6, 27717. (doi: 10.1038/srep27717)

  29. Open access Misseroni D, Colquitt DJ, Movchan AB, Movchan NV, Jones IS. 2016 Cymatics for the cloaking of flexural vibrations in a structured plate. Sci Rep, 6, 23929. (doi: 10.1038/srep23929)

  30. Open access Colquitt DJ, Craster RV, Makwana M. 2015 High frequency homogenisation for elastic lattices. Q J Mech Appl Math, 68(2), 203-230. (doi: 10.1093/qjmam/hbv005)

  31. Open access Colquitt DJ, Craster RV, Antonakakis T, Guenneau S. 2015 Rayleigh-Bloch waves along elastic diffraction gratings. Proc R Soc A 471 : 20140465. (doi: 10.1098/rspa.2014.0465)

  32. Open access Brun M, Colquitt DJ, Jones IS, Movchan AB, Movchan NV. 2014 Transformation cloaking and radial approximations for flexural waves in elastic plates. New J Phys 16, 093020. (doi: 10.1088/1367-2630/16/9/093020)

  33. Subscription access Colquitt DJ, Brun M, Gei M, Movchan AB, Movchan NV, Jones IS. 2014 Transformation elastodynamics and cloaking for flexural waves. J Mech Phys Solids 72, 131-143. (doi: 10.1016/j.jmps.2014.07.014)
    Open access Author accepted manuscript.

  34. Open access Colquitt DJ, Jones IS, Movchan NV, Movchan AB, Brun M, McPhedran RC. 2013 Making waves round a structured cloak: Lattices, negative refraction and fringes. Proc R Soc A 469 : 20130218. (doi: 10.1098/rspa.2013.0218)

  35. Open access Colquitt DJ, Nieves MJ, Jones IS, Movchan AB, Movchan NV. 2013 Localisation for a line defect in an infinite square lattice. Proc. R Soc. A 469 : 20120579. (doi: 10.1098/rspa.2012.0579)

  36. Subscription access Colquitt DJ, Nieves MJ, Jones IS, Movchan NV, Movchan AB. 2012 Trapping of a crack advancing through an elastic lattice. Int J Eng Sci 61, 129–141. (doi: 10.1016/j.ijengsci.2012.06.016)
    Author accepted manuscript unavailable.

  37. Subscription access Colquitt DJ, Jones IS, Movchan NV, Movchan AB, McPhedran RC. 2012 Dynamic anisotropy and localization in elastic lattice systems. Waves Random Complex 22(2), 143–159. (doi: 10.1080/17455030.2011.633940)
    Author accepted manuscript unavailable.

  38. Open access Colquitt DJ, Jones IS, Movchan NV, Movchan AB. 2011 Dispersion and localisation of elastic waves in materials with microstructure. Proc R Soc A 467(2134), 2874–2895. (doi: 10.1098/rspa.2011.0126)

  39. Subscription access Colquitt DJ, Movchan AB, Jones IS, Daniels W. 2010 Frequency related localisation of harmonic elastic waves in stratified welds. Acta Mech Sinica 26(4), 567–572. (doi: 10.1007/s10409-010-0350-7)
    Author accepted manuscript unavailable.

  40. Subscription access Colquitt DJ, Movchan AB, Movchan NV, Jones IS. 2011 Elastic Waves and Defect Modes in Micropolar Lattices. In Proc. Int. Conf. on Vibration Problems. (ed. J Náprstek et al.), 707–713. Springer Proceedings in Physics 139. (doi: 10.1007/978-94-007-2069-5_95)
    Author accepted manuscript unavailable.

Non-academic publications

  1. Open access Daniels W, Atkinson I, Bugg C, Colquitt DJ, Haslinger S. 2024 High temperature ultrasonic sensors. Nuclear Engineering International, 20-23.