UQ plays an increasing role in environmental sciences, in particular in evaluating climate change and its impacts, and assessing the safety of geological disposal of radioactive wastes and carbon capture/storage schemes. UQ is an important issue in engineering science, and manufacturing in particular. The life sciences and medicine will also make increasing use of techniques from UQ as fundamental models improve.
Staff have coordinated or contributed to a number of UQ events, including:
BAILEY, N.Y., CLIFFE, K.A., HIBBERD, S. and POWER, H., 2013. On the dynamics of a high-speed coned fluid-lubricated bearing IMA Journal of Applied Mathematics. (In Press.)
IGLESIAS, MARCO A., LAW, KODY J.H. and STUART, ANDREW M., 2013. Evaluation of Gaussian approximations for data assimilation in reservoir models Computational Geosciences. 17(5), 851-885
IGLESIAS, M.A., LAW, K.J.H. and STUART, A.M., 2013. Ensemble Kalman methods for inverse problems Inverse Problems. 29(4), 045001
CHERNYAVSKY, IL, DRYDEN, IL and JENSEN, OE, 2012. Characterizing the multiscale structure of fluctuations of transported quantities in a disordered medium IMA Journal of Applied Mathematics. 77(5), 697-725
HAWKINS-DAARUD, A., PRUDHOMME, S., VAN DER ZEE, K.G. and TINSLEY ODEN, J., 2012. Bayesian calibration, validation, and uncertainty quantification of diffuse interface models of tumor growth . Journal of Mathematical Biology (online).
PRESTON, S.P. and WOOD, A.T.A., 2012. Approximation of transition densities of stochastic differential equations by saddlepoint methods applied to small-time Ito-Taylor sample-path expansions Statistics and Computing. 22(1), 205-217
CLIFFE, K.A., GILES, M.B., SCHEICHL, R. and TECKENTRUP, A.L., 2011. Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients Computing and Visualization in Science. 14(1), 3-15.
WILKINSON, R. D., VRETTAS, M., CORNFORD, D. and OAKLEY, J. E., 2011. Quantifying simulator discrepancy in discrete-time dynamical simulators Journal of Agricultural, Biological, and Environmental Statistics. 16(4), 554-570 (In Press.)
HOLDEN, P.B., EDWARDS, N.R., OLIVER, K.I.C., LENTON, T.M. and WILKINSON, R.D., 2010. A probabilistic calibration of climate sensitivity and terrestrial carbon change in GENIE-1 Climate Dynamics. 35(5), 785-806
MITCHELL, M.J., JENSEN, O.E., CLIFFE, K.A. and MAROTO-VALER, M.M., 2010. A model of carbon dioxide dissolution and mineral carbonation kinetics Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 466, 1265-1290.
WILKINSON, R.D., 2010. Bayesian calibration of expensive computer models. In: L. BIEGLER, G. BIROS, O. GHATTAS, M. HEINKENSCHLOSS, D. KEYES, B. MALLICK, L. TENORIO, B. VAN BLOEMEN WAANDERS and K. WILLCOX, eds., Large scale inverse problems and quantification of Uncertainty John Wiley and Sons. 195-216
Stone, Nicola (2011) Gaussian process emulators for uncertainty analysis in groundwater flow.
PhD thesis, University of Nottingham.