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School of Computing Science and Engineering

Dr Edmund Chadwick

Reader in Applied Mathematics


Present appointment
Reader in Applied Mathematics, University of Salford  2010

Previous appointments
Senior Lecturer, University of Salford 2008
Lecturer grade B, University of Salford 2001
Lecturer grade A, University of Salford 2000
Senior Scientific Researcher, BAESYSTEMS ATC:Sowerby, Filton Bristol 1998
Senior Researcher, Hitachi Research Laboratory, Trinity College (university), Dublin 1996
Hitachi Research Fellow, Department of Mathematics, Trinity College (university), Dublin 1996
Research Associate, Department of Engineering, University of Durham 1995
Research Assistant, Department of Marine Technology, University of Newcastle 1993


Key administrative duties
I led the team developing a new undergraduate degree BSc in Mathematics at the University of Salford, developing the modules and programme structure, based on applied mathematics for the workplace, and guiding it through the internal approvals procedure.

I am the programme leader for the mathematics undergraduate degree at Salford.

I lead the mathematics outreach team, planning and delivering material on UCAS and general open days, visits to local schools and colleges, and enrichment days developing programme `maths at work'.

I have been awarded many grants several in conjunction with the IMA (Institute of Mathematics and its Applications) for novel teaching delivery particularly in relation to employer engagement.

Research Interests

My work is on the fundamental mathematical description of fluid mechanics, and notable achievements are the revision to the Batchelor vortex which has incorrect symmetry, and a revision to Lighthill's slender body theory which evaluates the lift force incorrectly.

These theoretical developments are published mainly in a series of papers in Proc. R. Soc. A, and have resulted in a new vortex description as well as a new slender body theory which has been verified experimentally by myself from an EPSRC grant, and this experimental verification has been published in J. Fluid Mech.

Qualifications and Memberships


PhD in Applied Mathematics, University of Manchester, 1992.
BSc Hons Degree in Mathematics and Physics, University of Manchester, 1988


Fellow of the Institute of Mathematics and its Applications (FIMA)


Of the 41 publications, 21 are published in prestigious rigorous peer-reviewed journals, and are highlighted by a bold double asterix **n followed by their order number n and appended to the reference. Of these, 7 are single author, a further 8 joint author, and a total of 16 I am the lead author.

I have published in all the recognised top journals in my field, for example Proc. R. Soc. A, J. Fluid Mech., SIAM J. Appl. Math., Fluid Dyn. Res., Phys. Fluids, ZAMP, Proc. Math. Sci. I have applied these theories to the vortex decay behind the Airbus A380 in J. Aerospace Engineering, and also applied fluid dynamics techniques to provide an explanation to the behaviour of the Jabulani world cup football in Mathematics Today, IMA.  I have also published in other fields, for example on Finite Element techniques for short wave diffraction/scattering problems published in Int. Jour. Numer. Meth. Engng., on an innovative parallelisation technique for Global Climate Models in Parallel Computing, and on a structural analysis problem associated with innovative telescope design published in Wide-Field Spectroscopy, Experimental Astronomy, Astrophysics and Space Science Library, and Proceedings- SPIE the International Society for Optical Engineering. I have also published in mathematics educational research journals such as MSOR Connections and BSRLM Informal Proceedings.


1. E. Chadwick and M. Singh (editors) Employer Engagement: Case Studies for adoption in HE Mathematical Sciences 2012 HighField Concepts, Birmingham.

(b) Accepted for publication and currently in press

Chapters in books

  1. J. Allington-Smith, P. Bettess and E.A. Chadwick `The GEMINI multi-object spectrographs' 1997 in: Wide-Field Spectroscopy, Kluwer Academic Publishers, Amsterdam, Netherlands, 73-79.
  2. E. A. Chadwick 'Chapter 38: A functional parallelism of the spectral transform method', 1999 in: Parallel Computational Fluid Dynamics: Development and Applications of Parallel Technology, Elsevier, Amsterdam, Netherlands, 337-344.
  3. E. Chadwick `Chapter 13: Student teams developing mathematical models applied to business and industrial mathematics' 2011 in:Developing Graduate Skills in HE Mathematics Programmes – Case Studies of Successful Practice, editor J. Waldock, University of Birmingham publishers.
  4. E. Chadwick 2011 discussions in: HE Mathematics Curriculum Summit – A report on the summit held at the University of Birmingham on 12 January 2011, editor P. Rowlett, University of Birmingham publishers.
  5. E. Chadwick and O. Radu `Chapter 18: Evaluating Assessment Practices in a Business and Industrial Mathematics Module', 2012 in Mapping University Assessment Practices, editors P. Iannone and A. Simpson, University of East Anglia, 75-82
  6. E. Chadwick, J. Waldock, N-A Bradshaw, L. Orpin, D. McNulty, M. Singh, T. Haydock, C. Ellis, P. Rowlett and N. Steele `How realistic is work-related learning in mathematics at university, and how realistic should it be?', 2012 in: Employer Engagement in Undergraduate Mathematics, editor P. Rowlett, University of Birmingham publishers, in press.
  7. E. Chadwick and O. Radu `Evaluating Assessment Practices in a work-related mathematics module' 2012 in RME (Research in Mathematics Education) current report, editor L. Alcock. provisionally accepted.

Articles in refereed journals and conference proceedings

  1. P. Bettess and E.A. Chadwick `Wave envelope examples for progressive waves' 1995 Int. Jour. Num. Meth. Engng. 28 2487-2508 **1
  2. E.A. Chadwick and P. Bettess `Modelling the wave envelope of progressive waves' 1995 Tenth International Workshop on Water Waves and Floating Bodies, proceedings published by Dept. Eng. Science, Univ. Oxford
  3. E.A. Chadwick and P. Bettess `Modelling of progressive short waves using wave envelopes' 1997 Int. Jour. Num. Meth. Engng. 14 no. 17 3229-3246 **2
  4. J. Allington-Smith, P. Bettess, E. Chadwick and R. Content `The GEMINI Multiobject Spectograph' 1997 Experimental Astronomy 4 no.7 293-299  **3
  5. J. Allington-Smith, P. Bettess, E. Chadwick, R. Content, R. Davies, G. Dodsworth, R. Haynes, D. Lee, I. Lewis and J. Webster `The GEMINI Multiobject Spectographs' 1997 Astrophysics and Space Science Library 212 73-79 **4
  6. R. Davies, J. Allington-Smith, P. Bettess and E. Chadwick `GMOS: the GEMINI Multiobject Spectographs' 1997 Proceedings- SPIE The International Society for Optical Engineering 2871 1099-1106 **5
  7. E.A. Chadwick `The far field Oseen velocity expansion', 1998 Proc. Roy. Soc. A 454 no. 1976 2059-2082 **6
  8. E.A. Chadwick `A hybrid parallel algorithm for the Spectral Transform Method which uses functional parallelism', 1998 ICFD Conference on Numerical Methods for Fluid Dynamics, Oxford. March 31-April 3
  9. E.A. Chadwick `Applying functional parallelism to global models', 1998 10th International Conference on Parallel CFD, Taiwan. May 11-14
  10. E.A. Chadwick `Introducing functional parallelisation for global environmental modelling', 1998 SIAM Annual Meeting, University of Toronto, Toronto, Canada. July 13-17
  11. E.A. Chadwick, P. Bettess and O. Laghrouche `Diffraction of short waves modelled using new mapped wave envelope finite and infinite elements', 1999 Int. Jour. Num. Meth. Engng. 45 335-354 **7
  12. E.A. Chadwick `A hybrid parallel algorithm for the Spectral Transform Method which uses functional parallelism', 1999 Parallel Computing 25 345-360 **8
  13. E.A. Chadwick `Infinite Boundary Elements', 2000 2nd International Conference on Boundary Integral Methods, Bath. September 12-16
  14. S. Amini, E.A. Chadwick, S.P. Nixon and S. Pistillo `Multiwavelet solution of boundary integral equation - Application to the radiosity problem', 2001 3rd UK Conference on Boundary Integral Methods, Brighton. September 10-11
  15. E.A. Chadwick `A Slender Body Theory in Oseen Flow', 2002 Proc. R. Soc. A. 458 2007-2016 **9
  16. E.A. Chadwick `The Jump in Lift at the Trailing Edge of a Slender Wing in Potential Flow', 2004 Invited speaker, International Conference on Mathematical Fluid Dynamics, Hyderabad, India, December 2-7
  17. E.A. Chadwick `A slender-wing theory in potential flow', 2005 Proc. R. Soc. A. 461 415-432 **10
  18. E.A. Chadwick `The vortex line in steady, incompressible Oseen flow', 2006 Proc. R. Soc. A. 462 391-401 **11
  19. N. J. Fishwick and E.A. Chadwick `The evaluation of the far-field integral in the Green's function representation for steady Oseen flow', 2006 Phys. Fluids 18 113101 **12
  20. E.A. Chadwick and A. Hatam `The physical interpretation of the lift discrepancy in Lanchester-Prandtl lifting wing theory for Euler flow, leading to the proposal of an alternative model in Oseen flow', 2007 Proc. R. Soc. A. 463 2257-2275 **13
  21. E. Chadwick and N. Fishwick `Lift on slender bodies with elliptical cross-section evaluated by using an Oseen flow model', 2007 SIAM Journal of Applied Mathematics, 67 no. 5 1465-1478 **14
  22. E. Chadwick  `Infinite boundary elements for electromagnetics', 2008 Int. J. Numer. Meth. Engng. 74 1716-1732. **15
  23. E.A. Chadwick and A. Hatam `A further note on the force discrepancy for wing theory in Euler flow', 2009 Proc. Math. Sci. 119 679-698 **16
  24. E.A. Chadwick `A slender body theory in Oseen flow obtained by expanding the Oseenlets in the Green's integral representation', 2009 Fluid. Dyn. Res. 41 045508 (17pp) **17
  25. E. Chadwick and T. Rahulan `A vortex decay model for evaluating safety separation distances for classes of aircraft stipulated by the International Civil Aviation Authority (ICAO)', 2009 CEAS European Air and Space Conference
  26. E. Chadwick and A Hatam  `Slender body expansions in potential theory along a finite straight line', 2010 ZAMP 61(3) 493-508 **18
  27. E. Chadwick, H. Khan, M. Mappin, M. Penney, M. Moatamedi  `Experimental verification of an Oseen flow slender body theory', 2010 J. Fluid Mech. 654 271-279 **19
  28. E. Chadwick and T. Rahulan `A theoretical model evaluating leading order vortex decay behind an aircraft', 2011 Proc. IMechE Part G: J. Aerospace Engineering, 225  1-7 **20
  29. E. Chadwick, T. Rahulan and Y. Wang `The unpredictable behaviour of the Jabulani ball – the new FIFA world cup football', 2011 IMA 3rd International Conference on Mathematics in Sport, Salford.
  30. E. Chadwick and R. El-Mazuzi  `On oscillatory Oseenlets: The forces generated by them, the far field expansion obtained using them, and their relation to oscillatory Stokeslets' 2011 IJRRAS, 9(1) 1-12.
  31. E. Chadwick, K. Sandiford and D. Percy, `Assessing student teams developing mathematical models applied to business and industrial mathematics', 2011 MSOR Connections, 11(3) 22-24
  32. E. Chadwick, T. Rahulan and Y. Wang `Reverse Swerve – a New Phenomenon in Football' 2012 Mathematics Today, IMA  48 no. 3 131-134 invited special issue on Mathematics in Sport  ***21
  33. E. Chadwick and O. Radu `Evaluating Assessment Practices in a work-related mathematics module' 2012 BSRLM (British Society for Research into Learning Mathematics) Informal Proceedings