David BourneView profile
Associate Professor
David Bourne is an Associate Professor in the Department of Mathematics at Heriot-Watt University, located within the School of Mathematical and Computer Sciences. He joined Heriot-Watt University in 2018 after holding academic positions at Durham University and the University of Glasgow. Dr. Bourne received his undergraduate degree from Durham University (UK), followed by a PhD from the University of Maryland, College Park (USA) under the supervision of Stuart S. Antman. He completed postdoctoral work with Stefan Müller in Leipzig and Bonn (Germany) and with Mark Peletier in Eindhoven (the Netherlands). Dr. Bourne's research focuses on optimal transport theory and its applications . His work spans several interdisciplinary areas including computational geometry, materials science, meteorology, and energy-driven pattern formation. Specifically, he investigates semi-discrete optimal transport theory and its applications to synthetic microstructure generation in materials science, weather modeling through the semi-geostrophic equations, and pattern formation in crystallization processes. His research employs techniques such as Laguerre tessellations and power diagrams to solve complex problems in these domains. His recent publications demonstrate a strong trend toward applying optimal transport methods to solve complex problems in materials science and meteorology. The research shows increasing sophistication in handling anisotropic structures and developing efficient computational algorithms for geometric modeling of polycrystalline materials and weather systems. Dr. Bourne maintains an active research group and has developed software libraries related to his work, as indicated on his personal webpage (www.macs.hw.ac.uk/~db92/). His ORCID identifier is https://orcid.org/0000-0001-7515-8329.










