In recent years, the use of numerical modelling in the field of high temperature materials – particularly for the superalloys – has increased markedly. There are now very tangible advantages to be gained from modelling work, e.g. for (i) the invention of new grades of alloy, (ii) the analysis and optimisation of manufacturing processes (casting, welding, heat treatment etc) and (iii) the design of high-integrity components such as turbine blades and discs. In this presentation, examples of successful modelling work in each of these areas will be given. The advantages, limitations and future expectations are given. The overarching observation is that the field has grown from one of mere academic curiosity to one which is of great importance to the viability of businesses operating in the high temperature world.