Chris Budd, OBE
I have broad research interests in interdisciplinary industrial and applied mathematics with a particular interest in complex nonlinear problems arising in real applications. Typically these involve the solution (analytically or numerically) of partial differential equations. A large amount of my work for the last ten years has been in numerical weather prediction and data assimilation in close collaboration with the Met Office (which I visit very frequently). My algorithms are now incorporated into the Met Office operational weather forecasting code where they have made a significant difference to their accuracy and received a Knowledge Transfer Award. I am also working on climate modelling using modern mathematical and computational methods and am actively involved in a number of international climate modelling networks, including CliMathNet which I co-direct and the Maths of Planet Earth programme. I also collaborate with the energy industry, the aerospace industry, the telecommunications industry and the food industry. Anywhere that maths can be applied is of interest to me.
Public Understanding of Science and Engagement
I believe very strongly indeed that the excitement and importance of mathematics and science should be communicated to as wide an audience as possible. I am actively involved in doing this, both in developing programmes with young people through my positions of Prof of Mathematics at the Royal Institution and my vice-presidentship of the Institute of Mathematics and its Applications, and in directing the Bath Taps Into Science Festival. My recent projects include two Citizen Science Projects in Climate Science and I am also working closely with Policy Makers involved in climate science. The latter has involved regular discussion/policy meetings with senior civil servants through the CliMathNet network, and also in running programmes on climate science with the British Science Association, the Science Museum and the Royal Institution
Aouaichia, M., McCullen, N., Bowen, C., Almond, D., Budd, C. and Bouamrane, R., 2017. Understanding the anomalous frequency responses of composite materials using very large random resistor-capacitor networks. European Physical Journal B, 90 (3), 39.
Budd, C. J. and Stockie, J. M., 2016. Multilayer asymptotic solution for wetting fronts in porous media with exponential moisture diffusivity. Studies in Applied Mathematics, 136 (4), pp. 424-458.
Weller, H., Browne, P., Budd, C. and Cullen, M., 2016. Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge-Ampère type equation. Journal of Computational Physics, 308, pp. 102-123.
Jenkins, S., Smith, N., Budd, C. and Freitag, M., 2015. The effect of numerical model error on data assimilation. Journal of Computational and Applied Mathematics, 290, pp. 567-588.
Budd, C. J., Dold, J. W. and Galaktionov, V. A., 2015. Global blow-up for a semilinear heat equation on a subspace. Proceedings of the Royal Society of Edinburgh Section A - Mathematics, 145 (5), 893 - 923.
Budd, C., Walsh, E. and Russell, R., 2015. The geometry of r-adaptive meshes generated using optimal transport methods. Journal of Computational Physics, 282, pp. 113-137.
Mora, K., Budd, C., Glendinning, P. and Keogh, P., 2014. Non-smooth Hopf-type bifurcations arising from impact–friction contact events in rotating machinery. Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences, 470 (2171), p. 20140490.
Zhang, Z., Li, J., Li, F., Budd, C. and Hamidi, V., 2014. Assessment of DG security contribution on transmission levels. In: PES General Meeting/ Conference & Exposition, 2014 IEEE, 2014-07-27 - 2014-07-31. IEEE.
Browne, P. A., Budd, C. J., Piccolo, C. and Cullen, M., 2014. Fast three dimensional r-adaptive mesh redistribution. Journal of Computational Physics, 275, pp. 174-196.
Amodio, P., Budd, C. J., Koch, O., Settanni, G. and Weinmüller, E., 2014. Asymptotical computations for a model of flow in saturated porous media. Applied Mathematics and Computation, 237, pp. 155-167.
Freitag, M. A., Nichols, N. K. and Budd, C. J., 2013. Resolution of sharp fronts in the presence of model error in variational data assimilation. Quarterly Journal of the Royal Meteorological Society, 139 (672), pp. 742-757.
Budd, C. J., Cullen, M. J. P. and Walsh, E. J., 2013. Monge–Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem. Journal of Computational Physics, 236, pp. 247-270.
Almond, D. P., Budd, C. J., Freitag, M. A., Hunt, G. W., McCullen, N. J. and Smith, N. D., 2013. The origin of power-law emergent scaling in large binary networks. Physica A: Statistical Mechanics and its Applications, 392 (4), pp. 1004-1027.
Browne, P. A., Budd, C., Gould, N. I. M., Kim, H. A. and Scott, J. A., 2012. A fast method for binary programming using first-order derivatives, with application to topology optimization with buckling constraints. International Journal for Numerical Methods in Engineering, 92 (12), pp. 1026-1043.
Dodwell, T. J., Hunt, G. W., Peletier, M. A. and Budd, C. J., 2012. Multi-layered folding with voids. Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences, 370 (1965), pp. 1740-1758.
Hunt, G., Butler, R. and Budd, C., 2012. Geometry and mechanics of layered structures and materials. Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences, 370 (1965), pp. 1723-1729.
Dodwell, T. J., Peletier, M. A., Budd, C. J. and Hunt, G. W., 2012. Self-similar voiding solutions of a single layered model of folding rocks. SIAM Journal on Applied Mathematics, 72 (1), pp. 444-463.
Budd, C., Freitag, M. A. and Nichols, N. K., 2011. Regularization techniques for ill-posed inverse problems in data assimilation. Computers and Fluids, 46 (1), pp. 168-173.
Budd, C., Champneys, A., Lord, G. and Virgin, L., 2011. Introduction to special issue on reflections in nonlinear mechanics. IMA Journal of Applied Mathematics, 76 (1), p. 1.
Budd, C. J. and Hill, A. D. C., 2011. A comparison of models and methods for simulating the microwave heating of moist foodstuffs. International Journal of Heat and Mass Transfer, 54 (4), pp. 807-817.
Soleimani, M., Stewart, V. and Budd, C., 2011. Crack detection in dielectric objects using electrical capacitance tomography imaging. Insight: Non-Destructive Testing and Condition Monitoring, 53 (1), pp. 21-24.
Almond, D., Budd, C. J. and McCullen, N. J., 2011. Emergent behaviour in large electrical networks. In: Georgoulis, E. H., Iske, A. and Levesley, J., eds. Approximation Algorithms for Complex Systems. Springer, pp. 3-26.
Freitag, M. A., Nichols, N. K. and Budd, C. J., 2010. L1-regularisation for ill-posed problems in variational data assimilation. PAMM - Proceedings in Applied Mathematics and Mechanics, 10 (1), 665 -668.
Smith, N. D., Pokhotelov, D., Mitchell, C. N. and Budd, C., 2010. Image-model coupling:application to an ionospheric storm. Nonlinear Processes in Geophysics, 17 (4), pp. 361-369.
Budd, C. J. and Williams, J. F., 2010. How to adaptively resolve evolutionary singularities in differential equations with symmetry. Journal of Engineering Mathematics, 66 (1-3), pp. 217-236.
Pring, S. R. and Budd, C. J., 2010. The dynamics of regularized discontinuous maps with applications to impacting systems. SIAM Journal on Applied Dynamical Systems, 9 (1), pp. 188-219.
Stewart, V. J., Budd, C. J., Dorn, S. and Soleimani, M., 2010. Crack detection in dielectric objects using electrical capacitance tomography. In: 6th World Congress on Industrial Process Tomography (WCIPT6), 2010-09-06 - 2010-09-09. International Society for Industrial Process Tomography, pp. 876-883.
Smith, N. D., Mitchell, C. N. and Budd, C. J., 2009. Image-model coupling:a simple information theoretic perspective for image sequences. Nonlinear Processes in Geophysics, 16 (2), pp. 197-210.
Budd, C. J. and Williams, J. F., 2009. Moving mesh generation using the parabolic Monge–Ampère equation. SIAM Journal on Scientific Computing, 31 (5), pp. 3438-3465.
di Bernardo, M., Budd, C. J., Champneys, A. R. and Kowalczyk, P., 2008. Piecewise-smooth dynamical systems:theory and applications. Springer.
Mccullen, N. J., Almond, D. P., Budd, C. J. and Hunt, G. W., 2008. The robustness of the emergent scaling property of random RC network models of complex materials. Journal of Physics D: Applied Physics, 42 (6), 064001.