Contact me

### Dr Paul Harris

Reader

Computing, Engineering and Mathematics

Moulsecoomb

Brighton

BN2 4GJ

Telephone: +441273642533

Email: P.J.Harris@brighton.ac.uk

Biography

From 1983 to 1986 I studied Mathematics at the University of Plymouth where I obtained a First Class Honors Degree (BSc). I remained at Plymouth between 1986 and 1989 to study for a PhD titled “The numerical solution of the dynamic fluid-structure interaction problem”.

After leaving Plymouth I was a Research Fellow in the Mathematics Department at the University of Birmingham until 1992 where I work on the mathematical modelling of cavitation and explosion bubbles in a liquid.

In 1992 I moved to the University of Brighton as a Lecturer and Senior Lecturer in Mathematics. In 2012 I was promoted to Principal Lecturer, and in 2013 I was made a Reader.Output

**26**.

Venton, Jenny, Harris, Paul and Phillips, Gary
(2017)
*Development of a Poroelastic Model of Spinal Cord Cavities*
In: Constanda, Christian, Dalla Riva, Matteo, Domenico Lamberti, Pier and Musolino, Paolo, eds.
Integral Methods in Science and Engineering.
Birkhäuser, USA, pp. 275-283.
ISBN 9783319593869

Harris, Paul
(2017)
*A simple mathematical model of cell clustering by chemotaxis*
Mathematical Biosciences, 294.
pp. 62-70.
ISSN 0025-5564

Harris, Paul
(2017)
*Mathematical Models of Cell Clustering Due to Chemotaxis*
In: Constanda, Christian, Dalla Riva, Matteo, Lamberti, Pier Domenico and Musolino, Paolo, eds.
Integral Methods in Science and Engineering.
Birkhäuser, Cham, pp. 97-104.
ISBN 9783319593869

Elliott, Novak S.J. and Harris, Paul
(2014)
*Mathematical Modelling*
In: Flint, G. and Rusbridge, C., eds.
Syringomyelia: A Disorder of CSF Circulation.
Springer-Verlag, Berlin Heidelberg, pp. 102-116.
ISBN 9783540724841

Harris, Paul and Chen, Ke
(2013)
*A finite element formulation of the total variation method for denoising a set of data*
In: Integral Methods in Science and Engineering: Progress in numerical and analytic techniques, Bento Goncalves, Rio Grande do Sul, Brazil, 2013.

Harris, Paul
(2011)
*Some thoughts on methods for evaluating a class of highly oscillatory integrals*
In: Proceedings of the tenth Internation Conference on Integral Methods In Science and Engineering, University of Brighton, 2011.

Harris, Paul
(2011)
*On methods for evaluating a class of highly oscillatory integral*
In: Proceedings of the 8th UK Conference on Boundary Integral Methods, 4-5 July, 2011, University of Leeds, UK.

Harris, Paul and Hardwidge, C.
(2010)
*A porous finite element model of the motion of the spinal cord*
In: Tenth International Conference on Integral Methods in Science and Engineering, 7-10 July 2008, Santander, Spain.

Harris, Paul and Chen, Ke
(2009)
*An efficient method for evaluating the integral of a class of highly oscillatory functions*
Journal of Computational and Applied Mathematics, 230 (2).
pp. 433-442.
ISSN 0377-0427

Chappell, D. and Harris, Paul
(2009)
*On the choice of coupling parameter in the time domain Burton and Miller formulation*
Quarterly Journal of Mechanics and Applied Mathematics, 62 (4).
pp. 431-450.
ISSN 0033-5614

Chappell, D. and Harris, Paul
(2009)
*A Burton–Miller inverse boundary element method for near-field acoustic holography*
The Journal of the Acoustical Society of America, 126 (1).
pp. 149-157.
ISSN 0001-4966

Chen, K., Cheng, J. and Harris, Paul
(2009)
*A new study of the Burton and Miller method for the solution of a 3D Helmholtz problem*
IMA Journal of Applied Mathematics, 74 (2).
pp. 163-177.
ISSN 0272-4960

Chappell, D., Harris, Paul, Henwood, D. and Chakrabarti, R.
(2008)
*Modelling the transient interaction of a thin elastic shell with an exterior acoustic field*
International Journal for Numerical Methods in Engineering, 75 (3).
pp. 275-290.
ISSN 0029-5981

Chappell, D., Harris, Paul, Henwood, D. and Chakrabarti, R.
(2008)
*Transient acoustic radiation from a thin spherical elastic shell*
In: Constanda, C. and Potapenko, S., eds.
Integral Methods in Science and Engineering: Techniques and Applications.
Birkhauser, Boston, pp. 47-54.
ISBN 9780817646707

Harris, Paul and Hardwidge, C.
(2008)
*The mathematical modelling of syringomyelia*
In: The Ninth International Conference on Integral Methods in Science and Engineering, July 23-27, 2006, Niagara Falls, Ontario, Canada.

Wang, H., Henwood, D., Harris, Paul and Chakrabarti, R.
(2007)
*Concerning the cause of instability in time-stepping boundary element methods applied to the exterior acoustic problem*
Journal of Sound and Vibration, 305 (1-2).
pp. 289-297.
ISSN 0022-460X

Hawkins, S.C., Chen, K. and Harris, Paul
(2007)
*On the influence of the wavenumber on compression in a wavelet boundary element method for the Helmholtz equation*
International Journal of Numerical Analysis and Modeling, 4 (1).
pp. 48-62.
ISSN 1705-5105

Chappell, D., Harris, Paul, Henwood, D. and Chakrabarti, R.
(2006)
*A stable boundary element method for modelling transient acoustic radiation*
Journal of the Acoustical Society of America, 120 (1).
pp. 74-80.
ISSN 0001-4966

Hawkins, S.C., Chen, K. and Harris, Paul
(2005)
*An operator splitting preconditioner for matrices arising from a wavelet boundary element method for the Helmholtz equation*
International Journal of Wavelets, Multiresolution and Information Processing (ijwmip), 3 (4).
pp. 601-620.
ISSN 0219-6913

Harris, Paul, Wang, H., Chakrabarti, R. and Henwood, D.
(2005)
*Stability analysis of a collocation method for solving the retarded potential integral equation*
Journal of Computational Acoustics, 13 (2).
pp. 287-299.
ISSN 0218-396X

Harris, Paul, Al-Awadi, H. and Soh, W.K.
(2004)
*An investigation into the effects of heat transfer on the motion of a spherical bubble*
The ANZIAM Journal, 45 (3).
pp. 361-372.

Harris, Paul, Wang, H., Chakrabarti, R. and Henwood, D.
(2004)
*A method for modelling non-harmonic periodic acoustic radiation from a loudspeaker*
In: Constanda, C., Ahues, M.P. and Largillier, A.R., eds.
Integral methods in science and engineering: analytic and numerical techniques.
Birkhauser, Boston, USA, pp. 73-78.
ISBN 9780817632281

Harris, Paul and Chen, K.
(2003)
*On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three-dimensional exterior Helmholtz problem*
Journal of Computational and Applied Mathematics, 156 (2).
pp. 303-318.
ISSN 0377-0427

Harris, Paul
(2003)
*An investigation into the use of the boundary integral method to model the motion of a single gas or vapour bubble in a liquid*
Engineering Analysis with Boundary Elements, 28 (4).
pp. 325-332.
ISSN 0955-7997

Harris, Paul, Wang, H., Chakrabarti, R. and Henwood, D.
(2003)
*Modelling transient acoustic radiation using the retarded potential integral equation method*
In: Fourth UK Conference on Boundary Integral Methods, Salford, 2003.

Chen, K. and Harris, Paul
(2001)
*Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz problem*
Applied Numerical Mathematics, 36 (4).
pp. 475-489.
ISSN 0168-9274

PhD Students

Name | Thesis |
---|---|

Jenny Venton (2014- 2017) | A mathematical Model of the spinal cord |

Koray Ozcan (2017) | The role of primary audible cues in sound localisation |

Mansour Al Qubeissi (2015) | Heating and evaporation of automotive fuel droplets |

David Chappell (2007) |
Modelling the transient interaction of an elastic structure with an exterior acoustic field |

Hui Wang (2004) | Boundary integral modelling of transient wave propagation with application to acoustic radiation from loudspeakers. |

Huda Al-Awadi (2001) |
Efficient numerical computation of the dynamics of a spherical bubble |

Anjulka Salhan (2000) | Dynamics of an explosion bubble close to a structure. |

Alison Easdown (1997) |
Improving numerical properties of learning algorithms for neural networks. |

Consultancy

Thales plc, 2006 – 2007. Confidential project involving Finite Element Modelling

Roles

- Treasurer of the Joint Mathematical Council of the UK (2009-2017)
- Editor-In-Chief of the Mathematical Association (2012-2017)
- Treasurer of the Mathematical Association (2007-2012)

Awards

Leverhulme Trust Research Grant Number RPG-2013-178, Modelling cavities in the spinal cord, May 2014 – April 2017.