Dr Chris L. Farmer

BSc, PhD

Status

Emeritus

Research Fellow

Contact form

+44 1865 615148

Research groups

Oxford Centre for Industrial and Applied Mathematics
Mathematical Geoscience

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Highlighted publications

Uncertainty quantification and optimal decisions.

Farmer, C Proceedings. Mathematical, physical, and engineering sciences volume 473 issue 2200 20170115-20170115 (26 Apr 2017)

Prizes, awards, and scholarships

Royal Society Industry Fellow 2002-2006.

Major / recent publications

C. L. Farmer. "An ensemble variational filter for sequential inverse problems". Proceedings of 'Inverse Problems -- from Theory to Applications (IPTA 2014)', pp 164-168, Institute of Physics, 2014. http://ipta2014.iopconfs.org/IPTAProceedings

W. Lee and C. L. Farmer. 2014. "Data Assimilation by Conditioning of Driving Noise on Future Observations". IEEE Transactions on Signal Processing, 62 (15), pp 3887-3896.

J. M. Fowkes, N. I. M. Gould and C. L. Farmer. 2012. "A Branch and Bound Algorithm for the Global Optimization of Hessian Lipschitz Continuous Functions", Journal of Global Optimization, pp. 1-25. ISSN 0925-5001. http://dx.doi.org/10.1007/s10898-012-9937-9

Busby, D, Farmer C.L. and Iske, A. Hierarchical nonlinear approximation for experimental design and statistical data fitting. SIAM Journal on Scientific Computing. 29 (1), January 2007, pp 49-69.

Farmer, C.L. Bayesian Field Theory Applied to Scattered Data Interpolation and Inverse Problems. Algorithms for Approximation. Ed. A. Iske and J. Levesley, Springer-Verlag, Heidelberg, 2007, pp. 147-166.

Farmer, C.L. and Howison, S.D. (2005). The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann Equations. Applied Mathematics Letters, 19 (4), April 2006, 356-361.

Upscaling: A Review. Numerical Methods in Fluids, 40(1-2), 63-78, September 2002.

Recent publications

One-dimensional acoustic waves in air/water mixtures

Farmer, C Ockendon, H Ockendon, J Wave Motion volume 106 (09 Jul 2021)

Wave propagation along periodic layers

Farmer, C Ockendon, H Ockendon, J SIAM Journal on Applied Mathematics volume 78 issue 4 2154-2175 (14 Aug 2018)

Numerical rivers: A synthetic streamflow generator for water resources vulnerability assessments

Borgomeo, E Farmer, C Hall, J Water Resources Research volume 51 issue 7 5382-5405 (14 Jul 2015)

Direct calculation of distortion energies in colloidal liquid crystals from single-particle data

Klop, K Farmer, C Dullens, R Aarts, D Molecular Physics volume 113 issue 17-18 2693-2698 (01 Jun 2015)

Research interests

My current main research interests are wave propagation in heterogeneous media and kinetic models for fluid mechanics.

Previous interests included: inverse problems, the adaptive management of natural resources, flow through porous media, grid generation and numerical simulation of elliptic pde with tensor coefficients. Until March 2016 I was funded by the Oxford Martin School as co-director of the programme on Modelling and Predicting Climate and as a PI on the Oxford Martin Programme on Resource Stewardship. For further information see http://www.oxfordmartin.ox.ac.uk/.