Review article by Kevrekidis, Ioannis G. and Giovanni Samaey (2009). “Equation-Free Multiscale Computation: Algorithms and Applications”, Annu. Rev. Phys. Chem. 60, pp. 321–44. doi: 10.1146/annurev.physchem.59.032607.093610.
Professor Roberts develops and applies a branch of modern dynamical systems theory, in conjunction with new computer algebra algorithms in scientific computing. He derives and interprets mathematical and computational models of complex multiscale systems, both deterministic and stochastic. His development of the systematic centre manifold approach gives a powerful new paradigm for the construction of nonlinear dynamic models, complete with initial and boundary conditions, and sensitivity projections. He develops applications of this methodology mainly to free surface fluid dynamics in the flow of thin fluid layers, water waves, and on to turbulent floods and tsunamis. In general, he researches the modelling of emergent dynamics in complex systems.
Professor Roberts studied for a PhD at the University of Cambridge in nonlinear fluid dynamics. He was elected a fellow of Trinity College, Cambridge. Since then he has been Professor of Applied Mathematics at the University of Southern Queensland, and at the University of Adelaide.