Feng Xu's Page

PDRA

Alan Turing Building
Department of Mathematics, University of Manchester
Oxford Road, Manchester, M13 9PL, UK
feng.xu@manchester.ac.uk/xufeng163192@gmail.com

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ORCID logohttp://orcid.org/0000-0003-3728-8223

RESEARCH INTERESTS

EDUCATION

2010-2014 Ph.D. in Applied Mathematics, University of Nottingham, UK
Thesis: Self-excited Oscillations of Flexible-channel Flow with Fixed Upstream Flux Link File
Supervisors: Prof. Oliver E. Jensen and Prof. John Billingham
2007-2010 M.Eng. in Fluid Mechanics, Shanghai University, China
Thesis: Interaction of Water Waves with a Very Large Floating Structure in a Fluid of Finite Depth File (in Chinese)
Supervisor: Prof. Dong Qiang Lu
2003-2007 B.Sc. in Mathematics, Anhui Normal University, China

EMPLOYMENT

Feburary 2020 - Present PDRA, Department of Mathematics, University of Manchester, UK.
Project (since August 2020): Epidemic Modelling and Statistical Support for Policy: Sub-populations, Forecasting, and Long-term Planning (EPSRC) Link
June 2017 - Janurary 2020 PDRA, School of Mathematics, University of Birmingham, UK.
Project: Numerical Analysis of Adaptive UQ Algorithms for PDEs with Random Inputs (EPSRC) Link
May 2014 - June 2017 PDRA, School of Mathematics, University of Manchester, UK.
Project: Forecasting Personal Health in an Uncertain Environment (EPSRC) Link

PUBLICATIONS

  1. A. Bespalov and F. Xu, "A posteriori error estimation and adaptivity in stochastic Galerkin FEM for parametric elliptic PDEs: beyond the affine case", Computers & Mathematics with Applications, Vol. 80, pp. 1084-1103, 2020. Link
  2. F. Xu, S. Coveney and O. E. Jensen, "Drop spreading and drifting on a spatially heterogeneous film: capturing variability with asymptotics and emulation", Journal of Engineering Mathematics , Vol. 111, pp. 191-208, 2018. Link
  3. F. Xu and O. E. Jensen, "Trapping and displacement of liquid collars and plugs in rough-walled tubes", Physical Review Fluids, Vol. 2, 094004, 2017. Link
  4. F. Xu and O. E. Jensen, "Drop spreading with random viscosity", Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, Vol. 472, 2016027, 2016. Link
  5. F. Xu and O. E. Jensen, "A low-order model for slamming in a flexible-channel flow", The Quarterly Journal of Mechanics and Applied Mathematics, Vol. 68, pp. 299-319, 2015. Link
  6. F. Xu, J. Billingham and O. E. Jensen, "Resonance-driven oscillations in a flexible-channel flow with fixed upstream flux and a long downstream rigid segment", Journal of Fluid Mechanics, Vol. 746, pp. 368-404, 2014. Link
  7. F. Xu, J. Billingham and O. E. Jensen, "Divergence-driven oscillations in a flexible-channel flow with fixed upstream flux", Journal of Fluid Mechanics, Vol. 723, pp. 706-733, 2013. Link
  8. F. Xu and D. Q. Lu, "Hydroelastic interaction between water waves and a thin elastic plate of arbitrary geometry", SCIENCE CHINA Physics, Mechanics & Astronomy, Vol. 54, No. 1, pp. 59-66, 2011. Link
  9. F. Xu and D. Q. Lu, "Wave scattering by a thin elastic plate floating on a two-layer fluid", International Journal of Engineering Science, Vol. 48, No. 9, pp. 408-419, 2010. Link
  10. F. Xu and D. Q. Lu, "An optimization of eigenfunction expansion method for the interaction of water waves with an elastic plate", Journal of Hydrodynamics, Vol. 21, No. 4, pp. 526-530, 2009. Link

PRESENTATIONS

  1. A posteriori error estimation and adaptivity in stochastic Galerkin FEM for parametric elliptic PDEs, The Mathematics of Finite Elements and Applications, Brunel University London, June 2019.
  2. Uncertainty propagation in two thin film flow problems, Applied Mathematics Seminar, School of Mathematics, University of Birmingham, October 2017.
  3. Drop spreading with random viscosity, Annual Meeting of American Physical Society – Division of Fluid Dynamics, Oregon Convention Center, November 2016.
  4. The impact of spatial heterogeneity on the distribution of airway liquid, European Conference on Mathematical & Theoretical Biology and SMB Annual Meeting, University of Nottingham, July 2016.
  5. Drop spreading with random viscosity, British Applied Mathematics Colloquium, University of Oxford, April 2016.
  6. Self-excited oscillations of flexible-channel flow with fixed upstream flux, International Congress on Industrial and Applied Mathematics, China National Convention Center, August 2015.
  7. Collapsible-channel oscillations under fixed upstream flux: instability via resonant mode interaction, British Applied Mathematics Colloquium, University of Leeds, April 2013.
  8. Instabilities of flow in a flexible channel under prescribed upstream flux, European Fluid Mechanics Conference, University of Rome "Tor Vergata", September 2012.
  9. Instabilities of flow in a flexible channel under prescribed upstream flux, European Postgraduate Fluid Dynamics Conference, Imperial College London, July 2012.
  10. Instabilities of flow in a flexible channel under prescribed upstream flux, British Applied Mathematics Colloquium, University College London, March 2012.

TEACHING

  1. Research Skills in Mathematics, Co-supervisor, School of Mathematics, University of Birmingham, 2018–2019.
  2. Mathematics for Foundation Studies, Lead Tutor, School of Mathematics, University of Manchester, 2016–2017.
  3. Differential Equations and Calculus for Engineers/Engineering Mathematics 2/Modelling with Differential Equations, Teaching Assistant, School of Mathematical Sciences, University of Nottingham, 2012–2013.

REFEREE