Numerical Analysis and Scientific Computing
There is a long and distinguished tradition of numerical analysis and scientific computing in Dundee
This includes developing numerical methods or algorithms, which are more accurate, more efficient and/or more robust with respect to concrete challenges that appear in the simulation of complex phenomena. This also includes carrying out analysis of algorithms with respect to complexity, stability, convergence, error control, and preservation of certain mathematical and physical laws at the numerical level.
Besides developing the theory and algorithm we also apply proper numerical methods and develop computational tools and software for engineering, physical, biological, and medical problems. Some of these problems arise from caustics and dark matter streams, complex fluids, multiphase flows, magnetohydrodynamics (MHD), fluid-structure interaction, multiscale modelling of solid materials with defects, proton transfer process in biology and cancer invasion, biological and medical image processing, calibration with incomplete data of cancer invasion, chick embryo gastrulation, collective dynamics in ecology and cell biology, atomistic molecular dynamics simulation of proteins, and measuring clinical outcomes on digital dental models.
Due to the cross-disciplinary nature of the area we actively foster communication and collaborations within the cluster, with other clusters in SSEN and the University of Dundee, and with application scientists at large who use numerical methods in their work and encounter concrete challenges. Our research is also used to inform our teaching in our undergraduate and postgraduate programmes in relevant areas.
Professor of Numerical Analysis and Computational Mathematics
+44 (0)1382 384473