# Professor Russell Davies

Honorary Distinguished Professor

- daviesr@cardiff.ac.uk
- +44 (0)29 2087 4827
- E/1.09, Mathematics & Education Building, Senghennydd Road, Cardiff, CF24 4AG

## Overview

### Administrative duties

- Financial Matters/Financial Plan
- Management of School
- Staff Appraisal and Development
- Strategic Plan/Annual Report
- Teaching Loads
- Chair of the School Management Committee
- Member of School Admissions Committee
- Member of School Research Committee
- Member of School Staff/Student Panel
- Member of School Teaching and Learning Committee

## Biography

### Qualifications

- 1969 - BSc Hons Mathematics and Physics, King's College, London
- 1971 - MSc (Mathematics), Oxford University, Balliol College
- 1974 - D Phil (Mathematics), Oxford University, Balliol College
- Scholarships - Thomas and Elizabeth Williams Scholar, 1970-73; Balliol College Graduate Award, 1971-1973

### Appointments

- 1973-75: Atlas Research Fellow in Mathematics, Pembroke College Oxford and SERC Rutherford-Appleton Laboratory
- 1976-85: Lecturer in Applied Mathematics, The University College of Wales, Aberystwyth
- 1984: Visiting Fellow, Centre for Mathematical Analysis, Australian National University
- 1984: Visiting Scientist, Division of Mathematics and Statistics, CSIRO, Canberra
- 1984-86: Senior Lecturer in Applied Mathematics, UCW, Aberystwyth
- 1986: Visiting Fellow, Centre for Mathematical Analysis, Australian National University
- 1986-90: Reader in Mathematics, UCW, Aberystwyth
- 1990: Visiting Fellow, Centre for Mathematical Analysis, Australian National University
- 1990-to date: Professor of Mathematics, UCW, Aberystwyth (now UWA)
- 1990: Visiting Fellow, Department of Mathematics, Melbourne University
- 1998: Visiting Scientist, CSIRO Mathematical and Information Sciences, Canberra
- 2000: Visiting Scientist, CSIRO Mathematical and Information Sciences, Canberra
- 2000-2003: Head of Department of Mathematics, UWA
- 2006: Visiting Scientist, CSIRO Mathematical and Information Sciences, Canberra
- 2006-to date: Head of the School of Mathematics, Cardiff University

### Editorial boards and advisory committees

- Editorial Board: Inverse Problems (1988-92)
- Editorial Board: Numerical Methods for Partial Differential Equations, 1992-
- Council: British Society of Rheology (1994 - 2000)
- Scientific Committee: Smith Institute for Industrial Mathematics and System Engineering, 2000–2006
- Scientific Committee: KTN for Industrial Mathematics 2007-

### Consultancies

- National Physical Laboratory, Teddington
- Shell Research Limited, Thornton
- RAPRA Technology, Shawbury
- BICC Cables, Chester
- Devro-Teepak Limited, Moodiesburn
- Nestle Research Laboratory, Lausanne
- Leaf UK, Southport
- Unilever UK, Port Sunlight

### Honours and awards

- Annual Award
**,**British Society of Rheology, 2005 - President: Society of Industrial and Applied Mathematics, United Kingdom and Ireland, 2007-2009

### Professional memberships

- Institute of Mathematics and its Applications (MIMA, CMath)
- London Mathematical Society
- British Society of Rheology
- SIAM

## Publications

### 2016

- Davies, A. R.et al. 2016. Derivative spectroscopy and the continuous relaxation spectrum. Journal of non-Newtonian fluid mechanics 233, pp. 107-118. (10.1016/j.jnnfm.2016.01.018)

### 2015

- Anderssen, R. S.et al. 2015. Derivative based algorithms for continuous relaxation spectrum recovery. Journal of Non-Newtonian Fluid Mechanics 222, pp. 132-140. (10.1016/j.jnnfm.2014.10.004)

### 2012

- Davies, A. R. and Goulding, N. 2012. Wavelet regularization and the continuous relaxation spectrum. Journal of Non-Newtonian Fluid Mechanics 189, pp. 19-30. (10.1016/j.jnnfm.2012.09.002)

### 2011

- Anderssen, R. S., Davies, A. R. and de Hoog, F. R. 2011. The effect of kernel perturbations when solving the interconversion convolution equation of linear viscoelasticity. Applied Mathematics Letters 24(1), pp. 71-75. (10.1016/j.aml.2010.08.019)

### 2009

- Loy, R. J., Davies, A. R. and Anderssen, R. S. 2009. A revised duality proof of sampling localization in relaxation spectrum recovery. Bulletin of the Australian Mathematical Society 79(1), pp. 79-83. (10.1017/S0004972708001044)

### 2008

- Anderssen, R. S., Davies, A. R. and de Hoog, F. R. 2008. On the Volterra integral equation relating creep and relaxation. Inverse Problems 24(3), article number: 35009. (10.1088/0266-5611/24/3/035009)
- Anderssen, R. S., Davies, A. R. and de Hoog, F. R. 2008. On the sensitivity of interconversion between relaxation and creep. Rheologica Acta 47(2), pp. 159-167. (10.1007/s00397-007-0223-6)

### 2005

- Nikonov, A., Davies, A. R. and Emri, I. 2005. Determining creep and relaxation functions from a single experiment. Journal of Rheology 49(6), pp. 1193-1211. (10.1122/1.2072027)

### 2004

- Davies, A. R., Morgan, D. and Williams, P. R. 2004. Relating the relaxation spectrum to wave dispersion data. Journal of non-Newtonian fluid mechanics 124(1-3), pp. 25-32. (10.1016/j.jnnfm.2004.07.012)

### 2001

- Davies, A. R. and Anderssen, R. S. 2001. Simple moving-average formulae for estimating the relaxation spectrum. Journal of rheology 45(1), pp. 1-27. (10.1122/1.1332787)
- Loy, R. J.et al. 2001. A duality proof of sampling localisation in relaxation spectrum recovery. Bulletin of the Australian Mathematical Society 64, pp. 265-269.

## Teaching

- MA0122 Algebra I

### Research interests

- Inverse problems in materials characterization.
- Numerical inversion of integral transforms.
- Mechanics of time-dependent materials.
- Mathematical problems in imaging science
- Computational partial differential equations.

### Research group

### External funding since 2000

- 2000-02: The computation of complex industrial EPSRC £49,800 non-Newtonian flows -JREI
- 2000-4: Mathematical and Numerical Modelling of Leaf(UK) Confectionery Manufacture -EPSRC £38,500
- 2000-3: Complex fluids and complex flows. EPSRC £583,000 UWS/UWA Platform Grant
- 2001: Resource capital for complex fluids research HEFCW £100,000
- 2002-7: Unilever Research Consultancy Unilever £70,000
- 2004-6: SRIF2 Resource for Computational Fluid Dynamics HEFCW £650,000

### Major conference talks since 2004

- Aug 2004. Relating the Relaxation Spectrum to Wave Dispersion Data. VIIIth International Workshop on Time Dependent Materials, Bled.
- Jan 2005. Wobble, Creep and Relaxation: Modelling Materials with Memory. SIAM UK-IE Meeting, Cork.
- April 2005. Determining Creep and Relaxation Functions from a Single Experiment. AERC 2005, Grenoble.
- October 2005. On Creep and Relaxation. Vth International Conference on Mechanics of Time Dependent Materials. Nagano, Japan.
- August 2006. Recent advances in Linear Viscoelasticity. IXth International Workshop on Time Dependent Materials. Portoroz.