Predictive Modelling in Science and Engineering by Prof. Nicholas Zabaras School of Engineering University of Warwick Coventry CV4 7AL http://www.zabaras.com nzabaras@gmail.com The University of Warwick has undertaken an ambitious initiative for the establishment of a new centre in predictive modelling (WCPM). This is part of the overall emphasis for placing Warwick at the forefront of data science research. The new centre brings together departments and researchers across the campus to develop a new approach to computational science where uncertainties in properties, process conditions and models are quantified and propagated to allow us to compute our confidence (probabilistic `error bars’) on the system responses and designs. In this talk, we will review with some examples in materials modeling and heterogeneous media the new paradigm, the scientific and computational challenges it poses, but also the significant impact that predictive models can have in industrial and scientific applications.